From 2cff2e70cd566aeee51800a0a3223f3f8cd29e77 Mon Sep 17 00:00:00 2001
From: Alberto Mercurio <alberto.mercurio96@gmail.com>
Date: Wed, 22 May 2024 13:51:15 +0200
Subject: [PATCH 01/27] Make steadystate function almost compatible with GPU
 arrays

---
 Project.toml             |  2 ++
 src/QuantumToolbox.jl    |  1 +
 src/general_functions.jl |  3 +++
 src/steadystate.jl       | 20 +++++++++++++++-----
 4 files changed, 21 insertions(+), 5 deletions(-)

diff --git a/Project.toml b/Project.toml
index 2d24fe2f..09562ba5 100644
--- a/Project.toml
+++ b/Project.toml
@@ -4,6 +4,7 @@ authors = ["Alberto Mercurio"]
 version = "0.8.2"
 
 [deps]
+ArrayInterface = "4fba245c-0d91-5ea0-9b3e-6abc04ee57a9"
 DiffEqCallbacks = "459566f4-90b8-5000-8ac3-15dfb0a30def"
 FFTW = "7a1cc6ca-52ef-59f5-83cd-3a7055c09341"
 Graphs = "86223c79-3864-5bf0-83f7-82e725a168b6"
@@ -25,6 +26,7 @@ CUDA = "052768ef-5323-5732-b1bb-66c8b64840ba"
 QuantumToolboxCUDAExt = "CUDA"
 
 [compat]
+ArrayInterface = "6, 7"
 CUDA = "5"
 DiffEqCallbacks = "2, 3"
 FFTW = "1.5"
diff --git a/src/QuantumToolbox.jl b/src/QuantumToolbox.jl
index 4790d42e..fc0f46c7 100644
--- a/src/QuantumToolbox.jl
+++ b/src/QuantumToolbox.jl
@@ -30,6 +30,7 @@ import LinearMaps: LinearMap
 import Pkg
 import Random
 import SpecialFunctions: loggamma
+using ArrayInterface: allowed_getindex, allowed_setindex!
 
 # Setting the number of threads to 1 allows
 # to achieve better performances for more massive parallelizations
diff --git a/src/general_functions.jl b/src/general_functions.jl
index 61ac28d7..3178dc76 100644
--- a/src/general_functions.jl
+++ b/src/general_functions.jl
@@ -442,3 +442,6 @@ Convert a quantum object from matrix ([`OperatorQuantumObject`](@ref)-type) to v
 """
 mat2vec(A::QuantumObject{<:AbstractArray{T},OperatorQuantumObject}) where {T} =
     QuantumObject(mat2vec(A.data), OperatorKet, A.dims)
+
+_get_dense_similar(A::AbstractArray, args...) = similar(A, args...)
+_get_dense_similar(A::AbstractSparseMatrix, args...) = similar(nonzeros(A), args...)
diff --git a/src/steadystate.jl b/src/steadystate.jl
index 5ae6400a..e26283f9 100644
--- a/src/steadystate.jl
+++ b/src/steadystate.jl
@@ -26,15 +26,25 @@ function _steadystate(
     L::QuantumObject{<:AbstractArray{T},SuperOperatorQuantumObject},
     solver::SteadyStateDirectSolver,
 ) where {T}
-    L_tmp = copy(L.data)
+    L_tmp = L.data
     N = prod(L.dims)
     weight = norm(L_tmp, 1) / length(L_tmp)
-    v0 = zeros(ComplexF64, N^2) # This is not scalable for GPU arrays
-    v0[1] = weight
 
-    L_tmp[1, [N * (i - 1) + i for i in 1:N]] .+= weight
+    v0 = _get_dense_similar(L_tmp, N^2)
+    fill!(v0, 0)
+    allowed_setindex!(v0, weight, 1) # Because scalar indexing is not allowed on GPU arrays
 
-    ρss_vec = L_tmp \ v0
+    idx_range = collect(1:N)
+    rows = _get_dense_similar(L_tmp, N)
+    cols = _get_dense_similar(L_tmp, N)
+    datas = _get_dense_similar(L_tmp, N)
+    fill!(rows, 1)
+    copyto!(cols, N .* (idx_range .- 1) .+ idx_range)
+    fill!(datas, weight)
+    Tn = sparse(rows, cols, datas, N^2, N^2)
+    L_tmp = L_tmp + Tn
+
+    ρss_vec = L_tmp \ v0 # This is still not supported on GPU, yet
     ρss = reshape(ρss_vec, N, N)
     ρss = (ρss + ρss') / 2 # Hermitianize
     return QuantumObject(ρss, Operator, L.dims)

From 9757448f1bd87413e32ba7b7c4a2b24aae7a0864 Mon Sep 17 00:00:00 2001
From: Alberto Mercurio <alberto.mercurio96@gmail.com>
Date: Wed, 22 May 2024 14:34:05 +0200
Subject: [PATCH 02/27] Minor change

---
 src/QuantumToolbox.jl | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/src/QuantumToolbox.jl b/src/QuantumToolbox.jl
index fc0f46c7..246d19d1 100644
--- a/src/QuantumToolbox.jl
+++ b/src/QuantumToolbox.jl
@@ -22,6 +22,7 @@ else
 end
 
 # other dependencies (in alphabetical order)
+import ArrayInterface: allowed_getindex, allowed_setindex!
 import DiffEqCallbacks: DiscreteCallback, PeriodicCallback, PresetTimeCallback
 import FFTW: fft, fftshift
 import Graphs: connected_components, DiGraph
@@ -30,7 +31,6 @@ import LinearMaps: LinearMap
 import Pkg
 import Random
 import SpecialFunctions: loggamma
-using ArrayInterface: allowed_getindex, allowed_setindex!
 
 # Setting the number of threads to 1 allows
 # to achieve better performances for more massive parallelizations

From e68958c747b69fecc3b9c038f4c1058f7cad3318 Mon Sep 17 00:00:00 2001
From: Alberto Mercurio <alberto.mercurio96@gmail.com>
Date: Wed, 22 May 2024 15:32:01 +0200
Subject: [PATCH 03/27] Set version v0.8.3

---
 Project.toml | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/Project.toml b/Project.toml
index 09562ba5..b3eb4086 100644
--- a/Project.toml
+++ b/Project.toml
@@ -1,7 +1,7 @@
 name = "QuantumToolbox"
 uuid = "6c2fb7c5-b903-41d2-bc5e-5a7c320b9fab"
 authors = ["Alberto Mercurio"]
-version = "0.8.2"
+version = "0.8.3"
 
 [deps]
 ArrayInterface = "4fba245c-0d91-5ea0-9b3e-6abc04ee57a9"

From 7f1eef30c74c352f619c3ffcea366d6952cd7ca3 Mon Sep 17 00:00:00 2001
From: Alberto Mercurio <alberto.mercurio96@gmail.com>
Date: Wed, 22 May 2024 18:09:06 +0200
Subject: [PATCH 04/27] Add favicon

---
 docs/make.jl | 4 +++-
 1 file changed, 3 insertions(+), 1 deletion(-)

diff --git a/docs/make.jl b/docs/make.jl
index 1d45f8c7..5c888ccf 100644
--- a/docs/make.jl
+++ b/docs/make.jl
@@ -12,7 +12,9 @@ makedocs(;
         prettyurls = get(ENV, "CI", "false") == "true",
         canonical = "https://albertomercurio.github.io/QuantumToolbox.jl",
         edit_link = "main",
-        assets = String[],
+        assets = [
+            "src/assets/favicon.ico",
+        ],
         mathengine = MathJax3(
             Dict(
                 :loader => Dict("load" => ["[tex]/physics"]),

From 5258eb13baa78d7031ad8174aa46c415348e5354 Mon Sep 17 00:00:00 2001
From: Alberto Mercurio <alberto.mercurio96@gmail.com>
Date: Wed, 22 May 2024 18:32:00 +0200
Subject: [PATCH 05/27] Format document

---
 docs/make.jl | 4 +---
 1 file changed, 1 insertion(+), 3 deletions(-)

diff --git a/docs/make.jl b/docs/make.jl
index 5c888ccf..ff9e3995 100644
--- a/docs/make.jl
+++ b/docs/make.jl
@@ -12,9 +12,7 @@ makedocs(;
         prettyurls = get(ENV, "CI", "false") == "true",
         canonical = "https://albertomercurio.github.io/QuantumToolbox.jl",
         edit_link = "main",
-        assets = [
-            "src/assets/favicon.ico",
-        ],
+        assets = ["src/assets/favicon.ico"],
         mathengine = MathJax3(
             Dict(
                 :loader => Dict("load" => ["[tex]/physics"]),

From 7849135bce2c1d8afaea33833a397bdb5efc6e04 Mon Sep 17 00:00:00 2001
From: Alberto Mercurio <alberto.mercurio96@gmail.com>
Date: Wed, 22 May 2024 19:39:01 +0200
Subject: [PATCH 06/27] Changes for move on QuTiP org

---
 Project.toml                             |  5 +++--
 README.md                                | 12 ++++++------
 docs/make.jl                             |  8 ++++----
 docs/src/benchmarks/benchmark_history.md |  4 ++--
 docs/src/index.md                        |  2 +-
 docs/src/tutorials/logo.md               |  2 +-
 6 files changed, 17 insertions(+), 16 deletions(-)

diff --git a/Project.toml b/Project.toml
index b3eb4086..4e23b8e2 100644
--- a/Project.toml
+++ b/Project.toml
@@ -1,7 +1,8 @@
 name = "QuantumToolbox"
 uuid = "6c2fb7c5-b903-41d2-bc5e-5a7c320b9fab"
-authors = ["Alberto Mercurio"]
-version = "0.8.3"
+authors = ["Alberto Mercurio", "Luca Gravina", "Yi-Te Huang"]
+version = "0.8.4"
+repo = "https://github.com/qutip/QuantumToolbox.jl.git"
 
 [deps]
 ArrayInterface = "4fba245c-0d91-5ea0-9b3e-6abc04ee57a9"
diff --git a/README.md b/README.md
index ac7ecfda..75527e04 100644
--- a/README.md
+++ b/README.md
@@ -4,18 +4,18 @@
 
 # QuantumToolbox.jl
 
-[![Release](https://img.shields.io/github/release/albertomercurio/QuantumToolbox.jl.svg)](https://github.com/albertomercurio/QuantumToolbox.jl/releases)
+[![Release](https://img.shields.io/github/release/qutip/QuantumToolbox.jl.svg)](https://github.com/qutip/QuantumToolbox.jl/releases)
 [![DOI](https://zenodo.org/badge/DOI/10.5281/zenodo.11096277.svg)](https://doi.org/10.5281/zenodo.11096277)
 [![Downloads](https://img.shields.io/badge/dynamic/json?url=http%3A%2F%2Fjuliapkgstats.com%2Fapi%2Fv1%2Fmonthly_downloads%2FQuantumToolbox&query=total_requests&suffix=%2Fmonth&label=Downloads)](https://juliapkgstats.com/pkg/QuantumToolbox)  
-[![Build Status](https://github.com/albertomercurio/QuantumToolbox.jl/actions/workflows/CI.yml/badge.svg?branch=main)](https://github.com/albertomercurio/QuantumToolbox.jl/actions/workflows/CI.yml?query=branch%3Amain)
+[![Build Status](https://github.com/qutip/QuantumToolbox.jl/actions/workflows/CI.yml/badge.svg?branch=main)](https://github.com/qutip/QuantumToolbox.jl/actions/workflows/CI.yml?query=branch%3Amain)
 [![Aqua QA](https://raw.githubusercontent.com/JuliaTesting/Aqua.jl/master/badge.svg)](https://github.com/JuliaTesting/Aqua.jl)
-[![Coverage](https://codecov.io/gh/albertomercurio/QuantumToolbox.jl/branch/main/graph/badge.svg)](https://codecov.io/gh/albertomercurio/QuantumToolbox.jl)  
-[![Doc-Stable](https://img.shields.io/badge/docs-stable-blue.svg)](https://albertomercurio.github.io/QuantumToolbox.jl/stable)
-[![Doc-Dev](https://img.shields.io/badge/docs-dev-blue.svg)](https://albertomercurio.github.io/QuantumToolbox.jl/dev)
+[![Coverage](https://codecov.io/gh/qutip/QuantumToolbox.jl/branch/main/graph/badge.svg)](https://codecov.io/gh/qutip/QuantumToolbox.jl)  
+[![Doc-Stable](https://img.shields.io/badge/docs-stable-blue.svg)](https://qutip.github.io/QuantumToolbox.jl/stable)
+[![Doc-Dev](https://img.shields.io/badge/docs-dev-blue.svg)](https://qutip.github.io/QuantumToolbox.jl/dev)
 
 ## Introduction
 
-[QuantumToolbox.jl](https://github.com/albertomercurio/QuantumToolbox.jl) is a cutting-edge Julia package designed for quantum physics simulations, closely emulating the popular Python [QuTiP](https://github.com/qutip/qutip) package. It uniquely combines the simplicity and power of Julia with advanced features like GPU acceleration and distributed computing, making simulation of quantum systems more accessible and efficient.
+[QuantumToolbox.jl](https://github.com/qutip/QuantumToolbox.jl) is a cutting-edge Julia package designed for quantum physics simulations, closely emulating the popular Python [QuTiP](https://github.com/qutip/qutip) package. It uniquely combines the simplicity and power of Julia with advanced features like GPU acceleration and distributed computing, making simulation of quantum systems more accessible and efficient.
 
 ## Features
 
diff --git a/docs/make.jl b/docs/make.jl
index ff9e3995..8430c92d 100644
--- a/docs/make.jl
+++ b/docs/make.jl
@@ -5,12 +5,12 @@ DocMeta.setdocmeta!(QuantumToolbox, :DocTestSetup, :(using QuantumToolbox); recu
 
 makedocs(;
     modules = [QuantumToolbox],
-    authors = "Alberto Mercurio",
-    repo = Remotes.GitHub("albertomercurio", "QuantumToolbox.jl"),
+    authors = ["Alberto Mercurio", "Luca Gravina", "Yi-Te Huang"],
+    repo = Remotes.GitHub("qutip", "QuantumToolbox.jl"),
     sitename = "QuantumToolbox.jl",
     format = Documenter.HTML(;
         prettyurls = get(ENV, "CI", "false") == "true",
-        canonical = "https://albertomercurio.github.io/QuantumToolbox.jl",
+        canonical = "https://qutip.github.io/QuantumToolbox.jl",
         edit_link = "main",
         assets = ["src/assets/favicon.ico"],
         mathengine = MathJax3(
@@ -35,4 +35,4 @@ makedocs(;
     ],
 )
 
-deploydocs(; repo = "github.com/albertomercurio/QuantumToolbox.jl", devbranch = "main")
+deploydocs(; repo = "github.com/qutip/QuantumToolbox.jl", devbranch = "main")
diff --git a/docs/src/benchmarks/benchmark_history.md b/docs/src/benchmarks/benchmark_history.md
index 18f38be9..f7791016 100644
--- a/docs/src/benchmarks/benchmark_history.md
+++ b/docs/src/benchmarks/benchmark_history.md
@@ -1,12 +1,12 @@
 ```@raw html
-<iframe id="myIframe" src="https://albertomercurio.github.io/QuantumToolbox.jl/benchmarks/" style="width:100%; border:none; overflow:hidden;"></iframe>
+<iframe id="myIframe" src="https://qutip.github.io/QuantumToolbox.jl/benchmarks/" style="width:100%; border:none; overflow:hidden;"></iframe>
 
 
 <script>
   // Function to adjust the iframe height
   function adjustIframeHeight(event) {
     const iframe = document.getElementById('myIframe');
-    if (event.origin === 'https://albertomercurio.github.io') { // Ensure this matches the iframe origin
+    if (event.origin === 'https://qutip.github.io') { // Ensure this matches the iframe origin
       iframe.style.height = event.data + 'px';
     }
   }
diff --git a/docs/src/index.md b/docs/src/index.md
index 0c428327..ae1e64d4 100644
--- a/docs/src/index.md
+++ b/docs/src/index.md
@@ -4,7 +4,7 @@ CurrentModule = QuantumToolbox
 
 # Introduction
 
-[QuantumToolbox](https://github.com/albertomercurio/QuantumToolbox.jl) is a Julia package for numerical simulation of quantum systems.
+[QuantumToolbox](https://github.com/qutip/QuantumToolbox.jl) is a Julia package for numerical simulation of quantum systems.
 
 ```@index
 ```
diff --git a/docs/src/tutorials/logo.md b/docs/src/tutorials/logo.md
index d397ca49..c0f96a25 100644
--- a/docs/src/tutorials/logo.md
+++ b/docs/src/tutorials/logo.md
@@ -208,4 +208,4 @@ fig
 
 ## Conclusion
 
-This tutorial demonstrates how to generate the [QuantumToolbox.jl](https://github.com/albertomercurio/QuantumToolbox.jl) logo using the package itself and [Makie.jl](https://github.com/MakieOrg/Makie.jl) for visualization. The logo is a visualization of the Wigner function of a triangular cat state, with a custom colormap that highlights the different coherent states with colors matching the Julia logo.
+This tutorial demonstrates how to generate the [QuantumToolbox.jl](https://github.com/qutip/QuantumToolbox.jl) logo using the package itself and [Makie.jl](https://github.com/MakieOrg/Makie.jl) for visualization. The logo is a visualization of the Wigner function of a triangular cat state, with a custom colormap that highlights the different coherent states with colors matching the Julia logo.

From 02cb8834bc780b90ac64f290db551a6e0ddbb89c Mon Sep 17 00:00:00 2001
From: Alberto Mercurio <alberto.mercurio96@gmail.com>
Date: Wed, 22 May 2024 19:50:32 +0200
Subject: [PATCH 07/27] Change authors

---
 docs/make.jl | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/docs/make.jl b/docs/make.jl
index 8430c92d..b771c615 100644
--- a/docs/make.jl
+++ b/docs/make.jl
@@ -5,7 +5,7 @@ DocMeta.setdocmeta!(QuantumToolbox, :DocTestSetup, :(using QuantumToolbox); recu
 
 makedocs(;
     modules = [QuantumToolbox],
-    authors = ["Alberto Mercurio", "Luca Gravina", "Yi-Te Huang"],
+    authors = "Alberto Mercurio, Luca Gravina and Yi-Te Huang",
     repo = Remotes.GitHub("qutip", "QuantumToolbox.jl"),
     sitename = "QuantumToolbox.jl",
     format = Documenter.HTML(;

From 6d8dbd550c04a76aeec26017239acb73ce2ad6bf Mon Sep 17 00:00:00 2001
From: Alberto Mercurio <alberto.mercurio96@gmail.com>
Date: Wed, 22 May 2024 20:29:20 +0200
Subject: [PATCH 08/27] Remove repo link

---
 Project.toml | 1 -
 1 file changed, 1 deletion(-)

diff --git a/Project.toml b/Project.toml
index 4e23b8e2..334b254f 100644
--- a/Project.toml
+++ b/Project.toml
@@ -2,7 +2,6 @@ name = "QuantumToolbox"
 uuid = "6c2fb7c5-b903-41d2-bc5e-5a7c320b9fab"
 authors = ["Alberto Mercurio", "Luca Gravina", "Yi-Te Huang"]
 version = "0.8.4"
-repo = "https://github.com/qutip/QuantumToolbox.jl.git"
 
 [deps]
 ArrayInterface = "4fba245c-0d91-5ea0-9b3e-6abc04ee57a9"

From 6092f23bdce8783b106dc23b5f421b003400005c Mon Sep 17 00:00:00 2001
From: Alberto Mercurio <alberto.mercurio96@gmail.com>
Date: Wed, 22 May 2024 22:02:15 +0200
Subject: [PATCH 09/27] Minor change

---
 docs/src/tutorials/logo.md | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/docs/src/tutorials/logo.md b/docs/src/tutorials/logo.md
index c0f96a25..d67bacf5 100644
--- a/docs/src/tutorials/logo.md
+++ b/docs/src/tutorials/logo.md
@@ -14,7 +14,7 @@ A cat state, often referred to as a Schrödinger cat state, is a quantum state t
 
 where ``| \alpha \rangle`` is a coherent state with amplitude ``\alpha``.
 
-The triangular cat state is a generalization of the standard cat state. It is a superposition of three coherent states with phases ``\theta_0, \theta_1, \theta_2``separated by ``120^\circ``(or ``2\pi/3``radians):
+The triangular cat state is a generalization of the standard cat state. It is a superposition of three coherent states with phases ``\theta_0, \theta_1, \theta_2`` separated by ``120^\circ``(or ``2\pi/3``radians):
 
 ```math
 | \psi_{\text{tri-cat}} \rangle = \frac{1}{\sqrt{3}} \left( | \alpha_0 \rangle + | \alpha_1 \rangle + | \alpha_2 \rangle \right)

From 44a28e5f19d5b14413c5483774914599e975adae Mon Sep 17 00:00:00 2001
From: Alberto Mercurio <alberto.mercurio96@gmail.com>
Date: Thu, 23 May 2024 10:23:54 +0200
Subject: [PATCH 10/27] Fix favicon

---
 docs/make.jl | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/docs/make.jl b/docs/make.jl
index b771c615..1812cca2 100644
--- a/docs/make.jl
+++ b/docs/make.jl
@@ -12,7 +12,7 @@ makedocs(;
         prettyurls = get(ENV, "CI", "false") == "true",
         canonical = "https://qutip.github.io/QuantumToolbox.jl",
         edit_link = "main",
-        assets = ["src/assets/favicon.ico"],
+        assets = ["assets/favicon.ico"],
         mathengine = MathJax3(
             Dict(
                 :loader => Dict("load" => ["[tex]/physics"]),

From 06e17077088810694b3b7b642f7abd8a3d3380ed Mon Sep 17 00:00:00 2001
From: Alberto Mercurio <alberto.mercurio96@gmail.com>
Date: Thu, 23 May 2024 19:12:06 +0200
Subject: [PATCH 11/27] Update Zenodo link

---
 README.md | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/README.md b/README.md
index 75527e04..1f3a58eb 100644
--- a/README.md
+++ b/README.md
@@ -5,7 +5,7 @@
 # QuantumToolbox.jl
 
 [![Release](https://img.shields.io/github/release/qutip/QuantumToolbox.jl.svg)](https://github.com/qutip/QuantumToolbox.jl/releases)
-[![DOI](https://zenodo.org/badge/DOI/10.5281/zenodo.11096277.svg)](https://doi.org/10.5281/zenodo.11096277)
+[![DOI](https://zenodo.org/badge/DOI/10.5281/zenodo.10822816.svg)](https://doi.org/10.5281/zenodo.10822816)
 [![Downloads](https://img.shields.io/badge/dynamic/json?url=http%3A%2F%2Fjuliapkgstats.com%2Fapi%2Fv1%2Fmonthly_downloads%2FQuantumToolbox&query=total_requests&suffix=%2Fmonth&label=Downloads)](https://juliapkgstats.com/pkg/QuantumToolbox)  
 [![Build Status](https://github.com/qutip/QuantumToolbox.jl/actions/workflows/CI.yml/badge.svg?branch=main)](https://github.com/qutip/QuantumToolbox.jl/actions/workflows/CI.yml?query=branch%3Amain)
 [![Aqua QA](https://raw.githubusercontent.com/JuliaTesting/Aqua.jl/master/badge.svg)](https://github.com/JuliaTesting/Aqua.jl)

From 464aa0fe816d0e04f40c86e6a9b129e0f1d040a3 Mon Sep 17 00:00:00 2001
From: Alberto Mercurio <alberto.mercurio96@gmail.com>
Date: Thu, 23 May 2024 22:17:49 +0200
Subject: [PATCH 12/27] Improve benchmark iframe and tutorial plots

---
 docs/src/benchmarks/benchmark_history.md | 4 +---
 docs/src/tutorials/logo.md               | 6 +++---
 2 files changed, 4 insertions(+), 6 deletions(-)

diff --git a/docs/src/benchmarks/benchmark_history.md b/docs/src/benchmarks/benchmark_history.md
index f7791016..6d2fee83 100644
--- a/docs/src/benchmarks/benchmark_history.md
+++ b/docs/src/benchmarks/benchmark_history.md
@@ -6,9 +6,7 @@
   // Function to adjust the iframe height
   function adjustIframeHeight(event) {
     const iframe = document.getElementById('myIframe');
-    if (event.origin === 'https://qutip.github.io') { // Ensure this matches the iframe origin
-      iframe.style.height = event.data + 'px';
-    }
+    iframe.style.height = event.data + 'px';
   }
 
   // Listen for messages from the iframe
diff --git a/docs/src/tutorials/logo.md b/docs/src/tutorials/logo.md
index d67bacf5..b291f09c 100644
--- a/docs/src/tutorials/logo.md
+++ b/docs/src/tutorials/logo.md
@@ -85,7 +85,7 @@ Finally, we plot the Wigner function using the `heatmap` function from the `Cair
 ```@example logo
 fig = Figure(size = (500, 500), figure_padding = 0)
 ax = Axis(fig[1, 1])
-heatmap!(ax, xvec, yvec, wig', colormap = :RdBu, interpolate = true, rasterize = 2)
+heatmap!(ax, xvec, yvec, wig', colormap = :RdBu, interpolate = true, rasterize = 1)
 hidespines!(ax)
 hidexdecorations!(ax)
 hideydecorations!(ax)
@@ -123,7 +123,7 @@ wig = wigner(sol.states[end], xvec, yvec, g = 2)
 fig = Figure(size = (500, 500), figure_padding = 0)
 ax = Axis(fig[1, 1])
 
-img_wig = heatmap!(ax, xvec, yvec, wig', colormap = :RdBu, interpolate = true, rasterize = 2)
+img_wig = heatmap!(ax, xvec, yvec, wig', colormap = :RdBu, interpolate = true, rasterize = 1)
 hidespines!(ax)
 hidexdecorations!(ax)
 hideydecorations!(ax)
@@ -199,7 +199,7 @@ Finally, we plot the Wigner function with the custom colormap.
 ```@example logo
 fig = Figure(size = (500, 500), figure_padding = 0, backgroundcolor = :transparent)
 ax = Axis(fig[1, 1], backgroundcolor = :transparent)
-image!(ax, img')
+image!(ax, img', rasterize = 1)
 hidespines!(ax)
 hidexdecorations!(ax)
 hideydecorations!(ax)

From 63b8e5f88d4b33fe025b15ef560f41a5417b4c54 Mon Sep 17 00:00:00 2001
From: Yi-Te Huang <44385685+ytdHuang@users.noreply.github.com>
Date: Sat, 25 May 2024 10:36:09 +0800
Subject: [PATCH 13/27] Update README.md

---
 README.md | 14 ++++++++++++--
 1 file changed, 12 insertions(+), 2 deletions(-)

diff --git a/README.md b/README.md
index 1f3a58eb..4241d2c3 100644
--- a/README.md
+++ b/README.md
@@ -6,7 +6,7 @@
 
 [![Release](https://img.shields.io/github/release/qutip/QuantumToolbox.jl.svg)](https://github.com/qutip/QuantumToolbox.jl/releases)
 [![DOI](https://zenodo.org/badge/DOI/10.5281/zenodo.10822816.svg)](https://doi.org/10.5281/zenodo.10822816)
-[![Downloads](https://img.shields.io/badge/dynamic/json?url=http%3A%2F%2Fjuliapkgstats.com%2Fapi%2Fv1%2Fmonthly_downloads%2FQuantumToolbox&query=total_requests&suffix=%2Fmonth&label=Downloads)](https://juliapkgstats.com/pkg/QuantumToolbox)  
+[![Downloads](https://img.shields.io/badge/dynamic/json?url=http%3A%2F%2Fjuliapkgstats.com%2Fapi%2Fv1%2Ftotal_downloads%2FQuantumToolbox&query=total_requests&label=Downloads)](https://juliapkgstats.com/pkg/QuantumToolbox)  
 [![Build Status](https://github.com/qutip/QuantumToolbox.jl/actions/workflows/CI.yml/badge.svg?branch=main)](https://github.com/qutip/QuantumToolbox.jl/actions/workflows/CI.yml?query=branch%3Amain)
 [![Aqua QA](https://raw.githubusercontent.com/JuliaTesting/Aqua.jl/master/badge.svg)](https://github.com/JuliaTesting/Aqua.jl)
 [![Coverage](https://codecov.io/gh/qutip/QuantumToolbox.jl/branch/main/graph/badge.svg)](https://codecov.io/gh/qutip/QuantumToolbox.jl)  
@@ -27,8 +27,18 @@ QuantumToolbox.jl is equipped with a robust set of features:
 - **GPU and Distributed Computing:** Leverage GPU and distributed resources for high-performance computing.
 
 ## Installation
-
+`QuantumToolbox.jl` requires `Julia 1.7+`. To install it, run the following commands inside Julia's interactive session (also known as REPL):
 ```julia
 using Pkg
 Pkg.add("QuantumToolbox")
 ```
+Alternatively, this can also be done in Julia's [Pkg REPL](https://julialang.github.io/Pkg.jl/v1/getting-started/) by pressing the key `]` in the REPL to use the package mode, and then type the following command:
+```julia-REPL
+(1.7) pkg> add QuantumToolbox
+```
+To load the package and check the version information, use either `versioninfo()` or `about()`, namely
+```julia
+using QuantumToolbox
+QuantumToolbox.versioninfo()
+QuantumToolbox.about()
+```

From a78f9a529b450e7ef8a0d00a9bcfb27fc9569e9a Mon Sep 17 00:00:00 2001
From: Yi-Te Huang <y.t.d.huang@phys.ncku.edu.tw>
Date: Sun, 26 May 2024 14:05:07 +0800
Subject: [PATCH 14/27] optimize `QuantumObjectType` handling

---
 src/quantum_object.jl | 129 +++++++++++++++++-------------------------
 1 file changed, 52 insertions(+), 77 deletions(-)

diff --git a/src/quantum_object.jl b/src/quantum_object.jl
index 4a4c7769..ba5e7da8 100644
--- a/src/quantum_object.jl
+++ b/src/quantum_object.jl
@@ -295,14 +295,11 @@ issuper(A::QuantumObject{<:AbstractArray{T},OpType}) where {T,OpType<:QuantumObj
 
 Returns the size of the matrix or vector corresponding to the [`QuantumObject`](@ref) `A`.
 """
-Base.size(A::QuantumObject{<:AbstractArray{T},OpType}) where {T,OpType<:QuantumObjectType} = size(A.data)
-Base.size(A::QuantumObject{<:AbstractArray{T},OpType}, inds...) where {T,OpType<:QuantumObjectType} =
-    size(A.data, inds...)
+Base.size(A::QuantumObject{<:AbstractArray{T}}) where {T} = size(A.data)
+Base.size(A::QuantumObject{<:AbstractArray{T}}, inds...) where {T} = size(A.data, inds...)
 
-Base.getindex(A::QuantumObject{<:AbstractArray{T},OpType}, inds...) where {T,OpType<:QuantumObjectType} =
-    getindex(A.data, inds...)
-Base.setindex!(A::QuantumObject{<:AbstractArray{T},OpType}, val, inds...) where {T,OpType<:QuantumObjectType} =
-    setindex!(A.data, val, inds...)
+Base.getindex(A::QuantumObject{<:AbstractArray{T}}, inds...) where {T} = getindex(A.data, inds...)
+Base.setindex!(A::QuantumObject{<:AbstractArray{T}}, val, inds...) where {T} = setindex!(A.data, val, inds...)
 
 """
     eltype(A::QuantumObject)
@@ -342,33 +339,22 @@ end
 
 Returns the length of the matrix or vector corresponding to the [`QuantumObject`](@ref) `A`.
 """
-Base.length(A::QuantumObject{<:AbstractArray{T},OpType}) where {T,OpType<:QuantumObjectType} = length(A.data)
-
-SparseArrays.sparse(A::QuantumObject{<:AbstractArray{T},OpType}) where {T,OpType<:QuantumObjectType} =
-    QuantumObject(sparse(A.data), OpType(), A.dims)
-SparseArrays.nnz(A::QuantumObject{<:AbstractSparseArray,OpType}) where {OpType<:QuantumObjectType} = nnz(A.data)
-SparseArrays.nonzeros(A::QuantumObject{<:AbstractSparseArray,OpType}) where {OpType<:QuantumObjectType} =
-    nonzeros(A.data)
-SparseArrays.rowvals(A::QuantumObject{<:AbstractSparseArray,OpType}) where {OpType<:QuantumObjectType} = rowvals(A.data)
-SparseArrays.droptol!(A::QuantumObject{<:AbstractSparseArray,OpType}, tol::Real) where {OpType<:QuantumObjectType} =
-    (droptol!(A.data, tol); return A)
-SparseArrays.dropzeros(A::QuantumObject{<:AbstractSparseArray,OpType}) where {OpType<:QuantumObjectType} =
-    QuantumObject(dropzeros(A.data), A.type, A.dims)
-SparseArrays.dropzeros!(A::QuantumObject{<:AbstractSparseArray,OpType}) where {OpType<:QuantumObjectType} =
-    (dropzeros!(A.data); return A)
-
-Base.isequal(
-    A::QuantumObject{<:AbstractArray{T},OpType},
-    B::QuantumObject{<:AbstractArray{T},OpType},
-) where {T,OpType<:QuantumObjectType} = isequal(A.data, B.data) && isequal(A.type, B.type) && isequal(A.dims, B.dims)
-Base.isapprox(
-    A::QuantumObject{<:AbstractArray{T},OpType},
-    B::QuantumObject{<:AbstractArray{T},OpType},
-) where {T,OpType<:QuantumObjectType} = isapprox(A.data, B.data) && isequal(A.type, B.type) && isequal(A.dims, B.dims)
-Base.:(==)(
-    A::QuantumObject{<:AbstractArray{T},OpType},
-    B::QuantumObject{<:AbstractArray{T},OpType},
-) where {T,OpType<:QuantumObjectType} = (A.data == B.data) && (A.type == B.type) && (A.dims == B.dims)
+Base.length(A::QuantumObject{<:AbstractArray{T}}) where {T} = length(A.data)
+
+SparseArrays.sparse(A::QuantumObject{<:AbstractArray{T}}) where {T} = QuantumObject(sparse(A.data), A.type, A.dims)
+SparseArrays.nnz(A::QuantumObject{<:AbstractSparseArray}) = nnz(A.data)
+SparseArrays.nonzeros(A::QuantumObject{<:AbstractSparseArray}) = nonzeros(A.data)
+SparseArrays.rowvals(A::QuantumObject{<:AbstractSparseArray}) = rowvals(A.data)
+SparseArrays.droptol!(A::QuantumObject{<:AbstractSparseArray}, tol::Real) = (droptol!(A.data, tol); return A)
+SparseArrays.dropzeros(A::QuantumObject{<:AbstractSparseArray}) = QuantumObject(dropzeros(A.data), A.type, A.dims)
+SparseArrays.dropzeros!(A::QuantumObject{<:AbstractSparseArray}) = (dropzeros!(A.data); return A)
+
+Base.isequal(A::QuantumObject{<:AbstractArray{T}}, B::QuantumObject{<:AbstractArray{T}}) where {T} =
+    isequal(A.data, B.data) && isequal(A.type, B.type) && isequal(A.dims, B.dims)
+Base.isapprox(A::QuantumObject{<:AbstractArray{T}}, B::QuantumObject{<:AbstractArray{T}}) where {T} =
+    isapprox(A.data, B.data) && isequal(A.type, B.type) && isequal(A.dims, B.dims)
+Base.:(==)(A::QuantumObject{<:AbstractArray{T}}, B::QuantumObject{<:AbstractArray{T}}) where {T} =
+    (A.data == B.data) && (A.type == B.type) && (A.dims == B.dims)
 
 LinearAlgebra.Hermitian(
     A::QuantumObject{<:AbstractArray{T},OpType},
@@ -417,19 +403,14 @@ for op in (:(+), :(-), :(*))
             B::QuantumObject{<:AbstractArray{T2},OpType},
         ) where {T1,T2,OpType<:QuantumObjectType}
             A.dims != B.dims && throw(ErrorException("The two operators are not of the same Hilbert dimension."))
-            return QuantumObject($(op)(A.data, B.data), OpType(), A.dims)
+            return QuantumObject($(op)(A.data, B.data), A.type, A.dims)
         end
-        LinearAlgebra.$op(A::QuantumObject{<:AbstractArray{T},OpType}) where {T,OpType<:QuantumObjectType} =
-            QuantumObject($(op)(A.data), OpType(), A.dims)
-
-        LinearAlgebra.$op(
-            n::T1,
-            A::QuantumObject{<:AbstractArray{T2},OpType},
-        ) where {T1<:Number,T2,OpType<:QuantumObjectType} = QuantumObject($(op)(n * I, A.data), OpType(), A.dims)
-        LinearAlgebra.$op(
-            A::QuantumObject{<:AbstractArray{T1},OpType},
-            n::T2,
-        ) where {T1,T2<:Number,OpType<:QuantumObjectType} = QuantumObject($(op)(A.data, n * I), OpType(), A.dims)
+        LinearAlgebra.$op(A::QuantumObject{<:AbstractArray{T}}) where {T} = QuantumObject($(op)(A.data), A.type, A.dims)
+
+        LinearAlgebra.$op(n::T1, A::QuantumObject{<:AbstractArray{T2}}) where {T1<:Number,T2} =
+            QuantumObject($(op)(n * I, A.data), A.type, A.dims)
+        LinearAlgebra.$op(A::QuantumObject{<:AbstractArray{T1}}, n::T2) where {T1,T2<:Number} =
+            QuantumObject($(op)(A.data, n * I), A.type, A.dims)
     end
 end
 
@@ -490,10 +471,10 @@ function LinearAlgebra.:(*)(
     return QuantumObject(A.data * B.data, OperatorBra, A.dims)
 end
 
-LinearAlgebra.:(^)(A::QuantumObject{<:AbstractArray{T},OpType}, n::T1) where {T,T1<:Number,OpType<:QuantumObjectType} =
-    QuantumObject(^(A.data, n), OpType(), A.dims)
-LinearAlgebra.:(/)(A::QuantumObject{<:AbstractArray{T},OpType}, n::T1) where {T,T1<:Number,OpType<:QuantumObjectType} =
-    QuantumObject(/(A.data, n), OpType(), A.dims)
+LinearAlgebra.:(^)(A::QuantumObject{<:AbstractArray{T}}, n::T1) where {T,T1<:Number} =
+    QuantumObject(^(A.data, n), A.type, A.dims)
+LinearAlgebra.:(/)(A::QuantumObject{<:AbstractArray{T}}, n::T1) where {T,T1<:Number} =
+    QuantumObject(/(A.data, n), A.type, A.dims)
 function LinearAlgebra.dot(
     A::QuantumObject{<:AbstractArray{T1},OpType},
     B::QuantumObject{<:AbstractArray{T2},OpType},
@@ -502,16 +483,17 @@ function LinearAlgebra.dot(
     return LinearAlgebra.dot(A.data, B.data)
 end
 
-Base.conj(A::QuantumObject{<:AbstractArray{T},OpType}) where {T,OpType<:QuantumObjectType} =
-    QuantumObject(conj(A.data), OpType(), A.dims)
-LinearAlgebra.adjoint(
+Base.conj(A::QuantumObject{<:AbstractArray{T}}) where {T} = QuantumObject(conj(A.data), A.type, A.dims)
+
+LinearAlgebra.transpose(
     A::QuantumObject{<:AbstractArray{T},OpType},
 ) where {T,OpType<:Union{OperatorQuantumObject,SuperOperatorQuantumObject}} =
-    QuantumObject(adjoint(A.data), OpType(), A.dims)
-LinearAlgebra.transpose(
+    QuantumObject(transpose(A.data), A.type, A.dims)
+
+LinearAlgebra.adjoint(
     A::QuantumObject{<:AbstractArray{T},OpType},
 ) where {T,OpType<:Union{OperatorQuantumObject,SuperOperatorQuantumObject}} =
-    QuantumObject(transpose(A.data), OpType(), A.dims)
+    QuantumObject(adjoint(A.data), A.type, A.dims)
 LinearAlgebra.adjoint(A::QuantumObject{<:AbstractArray{T},KetQuantumObject}) where {T} =
     QuantumObject(adjoint(A.data), Bra, A.dims)
 LinearAlgebra.adjoint(A::QuantumObject{<:AbstractArray{T},BraQuantumObject}) where {T} =
@@ -524,7 +506,7 @@ LinearAlgebra.adjoint(A::QuantumObject{<:AbstractArray{T},OperatorBraQuantumObje
 LinearAlgebra.inv(
     A::QuantumObject{<:AbstractArray{T},OpType},
 ) where {T,OpType<:Union{OperatorQuantumObject,SuperOperatorQuantumObject}} =
-    QuantumObject(sparse(inv(Matrix(A.data))), OpType(), A.dims)
+    QuantumObject(sparse(inv(Matrix(A.data))), A.type, A.dims)
 
 """
     tr(A::QuantumObject})
@@ -601,16 +583,12 @@ function LinearAlgebra.norm(
     p == 2.0 && return norm(A.data, 2)
     return norm(svdvals(A), p)
 end
-LinearAlgebra.normalize(A::QuantumObject{<:AbstractArray{T},OpType}) where {T,OpType<:QuantumObjectType} =
-    QuantumObject(normalize(A.data), OpType(), A.dims)
-LinearAlgebra.normalize!(A::QuantumObject{<:AbstractArray{T},OpType}) where {T,OpType<:QuantumObjectType} =
-    (normalize!(A.data); A)
-LinearAlgebra.ishermitian(A::QuantumObject{<:AbstractArray{T},OpType}) where {T,OpType<:QuantumObjectType} =
-    ishermitian(A.data)
-LinearAlgebra.issymmetric(A::QuantumObject{<:AbstractArray{T},OpType}) where {T,OpType<:QuantumObjectType} =
-    issymmetric(A.data)
-LinearAlgebra.isposdef(A::QuantumObject{<:AbstractArray{T},OpType}) where {T,OpType<:QuantumObjectType} =
-    isposdef(A.data)
+LinearAlgebra.normalize(A::QuantumObject{<:AbstractArray{T}}) where {T} =
+    QuantumObject(normalize(A.data), A.type, A.dims)
+LinearAlgebra.normalize!(A::QuantumObject{<:AbstractArray{T}}) where {T} = (normalize!(A.data); A)
+LinearAlgebra.ishermitian(A::QuantumObject{<:AbstractArray{T}}) where {T} = ishermitian(A.data)
+LinearAlgebra.issymmetric(A::QuantumObject{<:AbstractArray{T}}) where {T} = issymmetric(A.data)
+LinearAlgebra.isposdef(A::QuantumObject{<:AbstractArray{T}}) where {T} = isposdef(A.data)
 
 @doc raw"""
     kron(A::QuantumObject, B::QuantumObject)
@@ -659,7 +637,7 @@ function LinearAlgebra.kron(
     A::QuantumObject{<:AbstractArray{T1},OpType},
     B::QuantumObject{<:AbstractArray{T2},OpType},
 ) where {T1,T2,OpType<:Union{KetQuantumObject,BraQuantumObject,OperatorQuantumObject}}
-    return QuantumObject(kron(A.data, B.data), OpType(), vcat(A.dims, B.dims))
+    return QuantumObject(kron(A.data, B.data), A.type, vcat(A.dims, B.dims))
 end
 
 @doc raw"""
@@ -750,12 +728,12 @@ LinearAlgebra.triu(
     A::QuantumObject{<:AbstractArray{T},OpType},
     k::Integer = 0,
 ) where {T,OpType<:Union{OperatorQuantumObject,SuperOperatorQuantumObject}} =
-    QuantumObject(triu(A.data, k), OpType(), A.dims)
+    QuantumObject(triu(A.data, k), A.type, A.dims)
 LinearAlgebra.tril(
     A::QuantumObject{<:AbstractArray{T},OpType},
     k::Integer = 0,
 ) where {T,OpType<:Union{OperatorQuantumObject,SuperOperatorQuantumObject}} =
-    QuantumObject(tril(A.data, k), OpType(), A.dims)
+    QuantumObject(tril(A.data, k), A.type, A.dims)
 
 LinearAlgebra.lmul!(a::Number, B::QuantumObject{<:AbstractArray}) = (lmul!(a, B.data); B)
 LinearAlgebra.rmul!(B::QuantumObject{<:AbstractArray}, a::Number) = (rmul!(B.data, a); B)
@@ -763,14 +741,11 @@ LinearAlgebra.rmul!(B::QuantumObject{<:AbstractArray}, a::Number) = (rmul!(B.dat
 @inline LinearAlgebra.mul!(y::AbstractVector{Ty}, A::QuantumObject{<:AbstractMatrix{Ta}}, x, α, β) where {Ty,Ta} =
     mul!(y, A.data, x, α, β)
 
-LinearAlgebra.sqrt(A::QuantumObject{<:AbstractArray{T},OpType}) where {T,OpType<:QuantumObjectType} =
-    QuantumObject(sqrt(A.data), OpType(), A.dims)
-
-LinearAlgebra.exp(A::QuantumObject{<:AbstractMatrix{T},OpType}) where {T,OpType<:QuantumObjectType} =
-    QuantumObject(dense_to_sparse(exp(A.data)), OpType(), A.dims)
+LinearAlgebra.sqrt(A::QuantumObject{<:AbstractArray{T}}) where {T} = QuantumObject(sqrt(A.data), A.type, A.dims)
 
-LinearAlgebra.exp(A::QuantumObject{<:AbstractSparseMatrix{T},OpType}) where {T,OpType<:QuantumObjectType} =
-    QuantumObject(_spexp(A.data), OpType(), A.dims)
+LinearAlgebra.exp(A::QuantumObject{<:AbstractMatrix{T}}) where {T} =
+    QuantumObject(dense_to_sparse(exp(A.data)), A.type, A.dims)
+LinearAlgebra.exp(A::QuantumObject{<:AbstractSparseMatrix{T}}) where {T} = QuantumObject(_spexp(A.data), A.type, A.dims)
 
 function _spexp(A::SparseMatrixCSC{T,M}; threshold = 1e-14, nonzero_tol = 1e-20) where {T,M}
     m = checksquare(A) # Throws exception if not square

From 42cd3001ba67fef7634edbbf4a591f7b932a9af1 Mon Sep 17 00:00:00 2001
From: Yi-Te Huang <y.t.d.huang@phys.ncku.edu.tw>
Date: Sun, 26 May 2024 18:45:49 +0800
Subject: [PATCH 15/27] improve `sqrt` and introduce `sqrtm`

---
 docs/src/api.md          |  1 +
 src/general_functions.jl | 21 ++++++++++++++++++++-
 src/quantum_object.jl    | 13 ++++++++++++-
 test/quantum_objects.jl  |  5 +++++
 4 files changed, 38 insertions(+), 2 deletions(-)

diff --git a/docs/src/api.md b/docs/src/api.md
index 317acd82..1ec37584 100644
--- a/docs/src/api.md
+++ b/docs/src/api.md
@@ -31,6 +31,7 @@ issuper
 size
 eltype
 length
+sqrtm
 LinearAlgebra.tr
 LinearAlgebra.svdvals
 LinearAlgebra.norm
diff --git a/src/general_functions.jl b/src/general_functions.jl
index 3178dc76..d979ee0f 100644
--- a/src/general_functions.jl
+++ b/src/general_functions.jl
@@ -1,6 +1,6 @@
 export get_data, get_coherence, expect, ptrace
 export mat2vec, vec2mat
-export entropy_vn, entanglement, tracedist
+export entropy_vn, entanglement, tracedist, fidelity
 export gaussian, n_th
 
 export row_major_reshape, tidyup, tidyup!, meshgrid, sparse_to_dense, dense_to_sparse
@@ -311,6 +311,25 @@ function expect(
     return ishermitian(O) ? real(tr(O * ρ)) : tr(O * ρ)
 end
 
+@doc raw"""
+    fidelity(ρ::QuantumObject, σ::QuantumObject)
+
+Calculate the fidelity of two [`QuantumObject`](@ref):
+``F(\rho, \sigma) = \textrm{Tr} \sqrt{\sqrt{\rho} \sigma \sqrt{\rho}}``
+
+Here, the definition is from Nielsen & Chuang, "Quantum Computation and Quantum Information". It is the square root of the fidelity defined in R. Jozsa, Journal of Modern Optics, 41:12, 2315 (1994).
+
+Note that `ρ` and `σ` must be either [`Ket`](@ref) or [`Operator`](@ref).
+"""
+function fidelity(ρ::QuantumObject{<:AbstractArray{T1},OperatorQuantumObject}, σ::QuantumObject{<:AbstractArray{T2},OperatorQuantumObject}) where {T1,T2}
+    sqrt_ρ = sqrt(ρ)
+    eigval = abs.(eigvals(sqrt_ρ * σ * sqrt_ρ))
+    return sum(sqrt, eigval)
+end
+fidelity(ρ::QuantumObject{<:AbstractArray{T1},OperatorQuantumObject}, ψ::QuantumObject{<:AbstractArray{T2},KetQuantumObject}) where {T1,T2} = sqrt(abs(expect(ρ, ψ)))
+fidelity(ψ::QuantumObject{<:AbstractArray{T1},KetQuantumObject}, σ::QuantumObject{<:AbstractArray{T2},OperatorQuantumObject}) where {T1,T2} = fidelity(σ, ψ)
+fidelity(ψ::QuantumObject{<:AbstractArray{T1},KetQuantumObject}, ϕ::QuantumObject{<:AbstractArray{T2},KetQuantumObject}) where {T1,T2} = abs(ψ' * ϕ)
+
 @doc raw"""
     get_coherence(ψ::QuantumObject)
 
diff --git a/src/quantum_object.jl b/src/quantum_object.jl
index ba5e7da8..c67c5965 100644
--- a/src/quantum_object.jl
+++ b/src/quantum_object.jl
@@ -9,6 +9,7 @@ export QuantumObjectType,
 export Bra, Ket, Operator, OperatorBra, OperatorKet, SuperOperator
 
 export isket, isbra, isoper, isoperbra, isoperket, issuper, ket2dm
+export sqrtm
 export tensor, ⊗
 
 abstract type AbstractQuantumObject end
@@ -741,7 +742,17 @@ LinearAlgebra.rmul!(B::QuantumObject{<:AbstractArray}, a::Number) = (rmul!(B.dat
 @inline LinearAlgebra.mul!(y::AbstractVector{Ty}, A::QuantumObject{<:AbstractMatrix{Ta}}, x, α, β) where {Ty,Ta} =
     mul!(y, A.data, x, α, β)
 
-LinearAlgebra.sqrt(A::QuantumObject{<:AbstractArray{T}}) where {T} = QuantumObject(sqrt(A.data), A.type, A.dims)
+LinearAlgebra.sqrt(A::QuantumObject{<:AbstractArray{T}}) where {T} =
+    QuantumObject(sqrt(sparse_to_dense(A.data)), A.type, A.dims)
+
+@doc raw"""
+    sqrtm(A::QuantumObject)
+
+Matrix square root of [`Operator`](@ref) type of [`QuantumObject`](@ref)
+
+Note that for other types of [`QuantumObject`](@ref) use `sprt(A)` instead.
+"""
+sqrtm(A::QuantumObject{<:AbstractArray{T},OperatorQuantumObject}) where {T} = sqrt(A)
 
 LinearAlgebra.exp(A::QuantumObject{<:AbstractMatrix{T}}) where {T} =
     QuantumObject(dense_to_sparse(exp(A.data)), A.type, A.dims)
diff --git a/test/quantum_objects.jl b/test/quantum_objects.jl
index f7097feb..dc77345f 100644
--- a/test/quantum_objects.jl
+++ b/test/quantum_objects.jl
@@ -238,6 +238,11 @@
     @test tracedist(ψz1, ρz0) ≈ 1.0
     @test tracedist(ρz0, ρz1) ≈ 1.0
 
+    # sqrtm (sqrt)
+    M = sprand(ComplexF64, 5, 5, 0.5)
+    M0 = Qobj(M)
+    @test sqrtm(M0) ≈ sqrtm(sparse_to_dense(M0))
+
     # Broadcasting
     a = destroy(20)
     for op in ((+), (-), (*), (^))

From f5a8a67329c7a8a7d89ca1634c8a31fefeb0702b Mon Sep 17 00:00:00 2001
From: Yi-Te Huang <y.t.d.huang@phys.ncku.edu.tw>
Date: Sun, 26 May 2024 18:51:29 +0800
Subject: [PATCH 16/27] Introduce `fidelity`

---
 docs/src/api.md          |  1 +
 src/general_functions.jl | 20 ++++++++++++++++----
 test/quantum_objects.jl  |  7 ++++++-
 3 files changed, 23 insertions(+), 5 deletions(-)

diff --git a/docs/src/api.md b/docs/src/api.md
index 1ec37584..42fab085 100644
--- a/docs/src/api.md
+++ b/docs/src/api.md
@@ -56,6 +56,7 @@ negativity
 entropy_vn
 entanglement
 expect
+fidelity
 wigner
 get_coherence
 n_th
diff --git a/src/general_functions.jl b/src/general_functions.jl
index d979ee0f..982b71e4 100644
--- a/src/general_functions.jl
+++ b/src/general_functions.jl
@@ -321,14 +321,26 @@ Here, the definition is from Nielsen & Chuang, "Quantum Computation and Quantum
 
 Note that `ρ` and `σ` must be either [`Ket`](@ref) or [`Operator`](@ref).
 """
-function fidelity(ρ::QuantumObject{<:AbstractArray{T1},OperatorQuantumObject}, σ::QuantumObject{<:AbstractArray{T2},OperatorQuantumObject}) where {T1,T2}
+function fidelity(
+    ρ::QuantumObject{<:AbstractArray{T1},OperatorQuantumObject},
+    σ::QuantumObject{<:AbstractArray{T2},OperatorQuantumObject},
+) where {T1,T2}
     sqrt_ρ = sqrt(ρ)
     eigval = abs.(eigvals(sqrt_ρ * σ * sqrt_ρ))
     return sum(sqrt, eigval)
 end
-fidelity(ρ::QuantumObject{<:AbstractArray{T1},OperatorQuantumObject}, ψ::QuantumObject{<:AbstractArray{T2},KetQuantumObject}) where {T1,T2} = sqrt(abs(expect(ρ, ψ)))
-fidelity(ψ::QuantumObject{<:AbstractArray{T1},KetQuantumObject}, σ::QuantumObject{<:AbstractArray{T2},OperatorQuantumObject}) where {T1,T2} = fidelity(σ, ψ)
-fidelity(ψ::QuantumObject{<:AbstractArray{T1},KetQuantumObject}, ϕ::QuantumObject{<:AbstractArray{T2},KetQuantumObject}) where {T1,T2} = abs(ψ' * ϕ)
+fidelity(
+    ρ::QuantumObject{<:AbstractArray{T1},OperatorQuantumObject},
+    ψ::QuantumObject{<:AbstractArray{T2},KetQuantumObject},
+) where {T1,T2} = sqrt(abs(expect(ρ, ψ)))
+fidelity(
+    ψ::QuantumObject{<:AbstractArray{T1},KetQuantumObject},
+    σ::QuantumObject{<:AbstractArray{T2},OperatorQuantumObject},
+) where {T1,T2} = fidelity(σ, ψ)
+fidelity(
+    ψ::QuantumObject{<:AbstractArray{T1},KetQuantumObject},
+    ϕ::QuantumObject{<:AbstractArray{T2},KetQuantumObject},
+) where {T1,T2} = abs(ψ' * ϕ)
 
 @doc raw"""
     get_coherence(ψ::QuantumObject)
diff --git a/test/quantum_objects.jl b/test/quantum_objects.jl
index dc77345f..79e578db 100644
--- a/test/quantum_objects.jl
+++ b/test/quantum_objects.jl
@@ -238,10 +238,15 @@
     @test tracedist(ψz1, ρz0) ≈ 1.0
     @test tracedist(ρz0, ρz1) ≈ 1.0
 
-    # sqrtm (sqrt)
+    # sqrtm (sqrt) and fidelity
     M = sprand(ComplexF64, 5, 5, 0.5)
     M0 = Qobj(M)
+    ψ1 = Qobj(rand(ComplexF64, 5))
+    ψ2 = Qobj(rand(ComplexF64, 5))
+    M1 = ψ1 * ψ1'
     @test sqrtm(M0) ≈ sqrtm(sparse_to_dense(M0))
+    @test isapprox(fidelity(M0, M1), fidelity(ψ1, M0); atol = 1e-6)
+    @test isapprox(fidelity(ψ1, ψ2), fidelity(ket2dm(ψ1), ket2dm(ψ2)); atol = 1e-6)
 
     # Broadcasting
     a = destroy(20)

From f6657d6aa80ced88ca9dcf7a468490b7bd3bb614 Mon Sep 17 00:00:00 2001
From: Yi-Te Huang <y.t.d.huang@phys.ncku.edu.tw>
Date: Sun, 26 May 2024 19:27:11 +0800
Subject: [PATCH 17/27] fix tests for `fidelity`

---
 test/quantum_objects.jl | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/test/quantum_objects.jl b/test/quantum_objects.jl
index 79e578db..6e70f41f 100644
--- a/test/quantum_objects.jl
+++ b/test/quantum_objects.jl
@@ -240,7 +240,7 @@
 
     # sqrtm (sqrt) and fidelity
     M = sprand(ComplexF64, 5, 5, 0.5)
-    M0 = Qobj(M)
+    M0 = Qobj(M * M')
     ψ1 = Qobj(rand(ComplexF64, 5))
     ψ2 = Qobj(rand(ComplexF64, 5))
     M1 = ψ1 * ψ1'

From fc480f336b91254ebe095951f847339bb9d551eb Mon Sep 17 00:00:00 2001
From: Yi-Te Huang <y.t.d.huang@phys.ncku.edu.tw>
Date: Sun, 26 May 2024 22:57:36 +0800
Subject: [PATCH 18/27] update LICENSE

---
 LICENSE | 40 +++++++++++++++++++++++-----------------
 1 file changed, 23 insertions(+), 17 deletions(-)

diff --git a/LICENSE b/LICENSE
index 427e0012..80f95872 100644
--- a/LICENSE
+++ b/LICENSE
@@ -1,21 +1,27 @@
-MIT License
+Copyright (c) 2023 to 2024 inclusive, QuTiP developers and contributors.
+All rights reserved.
 
-Copyright (c) 2022 Alberto Mercurio
+Redistribution and use in source and binary forms, with or without modification,
+are permitted provided that the following conditions are met:
 
-Permission is hereby granted, free of charge, to any person obtaining a copy
-of this software and associated documentation files (the "Software"), to deal
-in the Software without restriction, including without limitation the rights
-to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
-copies of the Software, and to permit persons to whom the Software is
-furnished to do so, subject to the following conditions:
+1. Redistributions of source code must retain the above copyright notice, this
+   list of conditions and the following disclaimer.
 
-The above copyright notice and this permission notice shall be included in all
-copies or substantial portions of the Software.
+2. Redistributions in binary form must reproduce the above copyright notice,
+   this list of conditions and the following disclaimer in the documentation
+   and/or other materials provided with the distribution.
 
-THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
-IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
-FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
-AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
-LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
-OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
-SOFTWARE.
+3. Neither the name of the copyright holder nor the names of its contributors
+   may be used to endorse or promote products derived from this software without
+   specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
\ No newline at end of file

From 5f6c20b3c0bf2639f553c7c27bc4339b37291db6 Mon Sep 17 00:00:00 2001
From: Yi-Te Huang <y.t.d.huang@phys.ncku.edu.tw>
Date: Sun, 26 May 2024 22:59:07 +0800
Subject: [PATCH 19/27] add CODE_OF_CONDUCT

---
 CODE_OF_CONDUCT.md | 25 +++++++++++++++++++++++++
 1 file changed, 25 insertions(+)
 create mode 100644 CODE_OF_CONDUCT.md

diff --git a/CODE_OF_CONDUCT.md b/CODE_OF_CONDUCT.md
new file mode 100644
index 00000000..ddf531d0
--- /dev/null
+++ b/CODE_OF_CONDUCT.md
@@ -0,0 +1,25 @@
+# Contributor Covenant Code of Conduct
+
+As contributors and maintainers of this project, and in the interest of fostering an open and welcoming community, we pledge to respect all people who contribute through reporting issues, posting feature requests, updating documentation, submitting pull requests or patches, and other activities.
+
+We are committed to making participation in this project a harassment-free experience for everyone, regardless of level of experience, gender, gender identity and expression, sexual orientation, disability, personal appearance, body size, race, ethnicity, age, religion, or nationality.
+
+Examples of unacceptable behavior by participants include:
+
+* The use of sexualized language or imagery
+* Personal attacks
+* Trolling or insulting/derogatory comments
+* Public or private harassment
+* Publishing other's private information, such as physical or electronic addresses, without explicit permission
+* Other unethical or unprofessional conduct
+
+Project maintainers have the right and responsibility to remove, edit, or reject comments, commits, code, wiki edits, issues, and other contributions that are not aligned to this Code of Conduct. By adopting this Code of Conduct, project maintainers commit themselves to fairly and consistently applying these principles to every aspect of managing this project. Project maintainers who do not follow or enforce the Code of Conduct may be permanently removed from the project team.
+
+This code of conduct applies both within project spaces and in public spaces when an individual is representing the project or its community. 
+
+Instances of abusive, harassing, or otherwise unacceptable behavior may be reported by opening an issue or contacting one or more of the project maintainers. 
+
+This Code of Conduct is adapted from the Contributor Covenant , version 1.2.0, available at https://www.contributor-covenant.org/version/1/2/0/code-of-conduct.html 
+
+[homepage]: https://contributor-covenant.org
+[version]: https://contributor-covenant.org/version/1/2/

From 0f91b70f03563573375eebe373dbffc341179a92 Mon Sep 17 00:00:00 2001
From: Yi-Te Huang <y.t.d.huang@phys.ncku.edu.tw>
Date: Sun, 26 May 2024 23:10:27 +0800
Subject: [PATCH 20/27] add admin name list and in license badge in README

---
 README.md | 6 ++++++
 1 file changed, 6 insertions(+)

diff --git a/README.md b/README.md
index 4241d2c3..8dd49c92 100644
--- a/README.md
+++ b/README.md
@@ -4,7 +4,13 @@
 
 # QuantumToolbox.jl
 
+<!-- Current admin team (in chronological order) -->
+[A. Mercurio](https://github.com/albertomercurio),
+[L. Gravina](https://github.com/lgravina1997),
+and [Y.-T. Huang](https://github.com/ytdHuang).
+
 [![Release](https://img.shields.io/github/release/qutip/QuantumToolbox.jl.svg)](https://github.com/qutip/QuantumToolbox.jl/releases)
+[![License](https://img.shields.io/badge/license-New%20BSD-blue.svg)](https://opensource.org/licenses/BSD-3-Clause)
 [![DOI](https://zenodo.org/badge/DOI/10.5281/zenodo.10822816.svg)](https://doi.org/10.5281/zenodo.10822816)
 [![Downloads](https://img.shields.io/badge/dynamic/json?url=http%3A%2F%2Fjuliapkgstats.com%2Fapi%2Fv1%2Ftotal_downloads%2FQuantumToolbox&query=total_requests&label=Downloads)](https://juliapkgstats.com/pkg/QuantumToolbox)  
 [![Build Status](https://github.com/qutip/QuantumToolbox.jl/actions/workflows/CI.yml/badge.svg?branch=main)](https://github.com/qutip/QuantumToolbox.jl/actions/workflows/CI.yml?query=branch%3Amain)

From a2f1365624d30a06e324205afd5b47dc9473e4c5 Mon Sep 17 00:00:00 2001
From: Yi-Te Huang <y.t.d.huang@phys.ncku.edu.tw>
Date: Sun, 26 May 2024 23:19:57 +0800
Subject: [PATCH 21/27] add some comments in README

---
 README.md | 2 ++
 1 file changed, 2 insertions(+)

diff --git a/README.md b/README.md
index 8dd49c92..61b33b29 100644
--- a/README.md
+++ b/README.md
@@ -1,3 +1,4 @@
+<!-- Logo -->
 <div align="center">
   <img src="./docs/src/assets/logo.png" alt="QuantumToolbox.jl logo" width="150">
 </div>
@@ -9,6 +10,7 @@
 [L. Gravina](https://github.com/lgravina1997),
 and [Y.-T. Huang](https://github.com/ytdHuang).
 
+<!-- Badges -->
 [![Release](https://img.shields.io/github/release/qutip/QuantumToolbox.jl.svg)](https://github.com/qutip/QuantumToolbox.jl/releases)
 [![License](https://img.shields.io/badge/license-New%20BSD-blue.svg)](https://opensource.org/licenses/BSD-3-Clause)
 [![DOI](https://zenodo.org/badge/DOI/10.5281/zenodo.10822816.svg)](https://doi.org/10.5281/zenodo.10822816)

From 963f303852165a0b64c87f45eb2e4923e91af986 Mon Sep 17 00:00:00 2001
From: Yi-Te Huang <y.t.d.huang@phys.ncku.edu.tw>
Date: Sun, 26 May 2024 23:24:03 +0800
Subject: [PATCH 22/27] adjust copyright holding year

---
 LICENSE | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/LICENSE b/LICENSE
index 80f95872..2d11b97e 100644
--- a/LICENSE
+++ b/LICENSE
@@ -1,4 +1,4 @@
-Copyright (c) 2023 to 2024 inclusive, QuTiP developers and contributors.
+Copyright (c) 2022 to 2024 inclusive, QuTiP developers and contributors.
 All rights reserved.
 
 Redistribution and use in source and binary forms, with or without modification,

From 2c88dabda2eb5a04fe0be0cacecb52fe2a49ab88 Mon Sep 17 00:00:00 2001
From: Yi-Te Huang <y.t.d.huang@phys.ncku.edu.tw>
Date: Sun, 26 May 2024 23:27:49 +0800
Subject: [PATCH 23/27] ignore `CODE_OF_CONDUCT` in `JuliaFormatter`

---
 .JuliaFormatter.toml | 5 ++++-
 1 file changed, 4 insertions(+), 1 deletion(-)

diff --git a/.JuliaFormatter.toml b/.JuliaFormatter.toml
index 18efd325..b75cd2ee 100644
--- a/.JuliaFormatter.toml
+++ b/.JuliaFormatter.toml
@@ -6,4 +6,7 @@ always_use_return=true
 format_docstrings=true
 indent_submodule=true
 format_markdown=true
-ignore = ["README.md"]
\ No newline at end of file
+ignore = [
+    "README.md", 
+    "CODE_OF_CONDUCT.md"
+]
\ No newline at end of file

From fe1d4507fa9a50bb4aa7b8da29dfcfdf800de77b Mon Sep 17 00:00:00 2001
From: Yi-Te Huang <44385685+ytdHuang@users.noreply.github.com>
Date: Mon, 27 May 2024 01:16:43 +0800
Subject: [PATCH 24/27] minor change

---
 src/general_functions.jl | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/src/general_functions.jl b/src/general_functions.jl
index 982b71e4..fad48c7a 100644
--- a/src/general_functions.jl
+++ b/src/general_functions.jl
@@ -340,7 +340,7 @@ fidelity(
 fidelity(
     ψ::QuantumObject{<:AbstractArray{T1},KetQuantumObject},
     ϕ::QuantumObject{<:AbstractArray{T2},KetQuantumObject},
-) where {T1,T2} = abs(ψ' * ϕ)
+) where {T1,T2} = abs(dot(ψ, ϕ))
 
 @doc raw"""
     get_coherence(ψ::QuantumObject)

From b541e5ddc69162656c882396e6c23d266cf148d1 Mon Sep 17 00:00:00 2001
From: Yi-Te Huang <44385685+ytdHuang@users.noreply.github.com>
Date: Mon, 27 May 2024 01:22:45 +0800
Subject: [PATCH 25/27] Update LICENSE

---
 LICENSE | 2 ++
 1 file changed, 2 insertions(+)

diff --git a/LICENSE b/LICENSE
index 2d11b97e..40ba9329 100644
--- a/LICENSE
+++ b/LICENSE
@@ -1,3 +1,5 @@
+BSD 3-Clause License
+
 Copyright (c) 2022 to 2024 inclusive, QuTiP developers and contributors.
 All rights reserved.
 

From c2235188749daf6883e05253c3797146cf4727ae Mon Sep 17 00:00:00 2001
From: Alberto Mercurio <alberto.mercurio96@gmail.com>
Date: Mon, 27 May 2024 00:45:24 +0200
Subject: [PATCH 26/27] Change flolder structure and make Introduction

---
 docs/make.jl                                  |  49 +--
 .../jupyter_notebooks/LR_XYZ_example.ipynb    | 407 ------------------
 docs/src/index.md                             |  85 +++-
 docs/src/qutip_differences.md                 |   5 +
 .../QuantumObject/QuantumObject.md}           |   0
 .../QuantumObject/QuantumObject_functions.md} |   0
 docs/src/{ => users_guide}/extensions/cuda.md |   0
 .../states_and_operators}/density_matrices.md |   0
 .../expectation_values.md                     |   0
 .../states_and_operators}/qubit_systems.md    |   0
 .../states_and_operators}/state_vectors.md    |   0
 .../states_and_operators}/superoperators.md   |   0
 .../tensor_product}/partial_trace.md          |   0
 .../tensor_product}/tensor.md                 |   0
 .../{ => users_guide}/time_evolution/intro.md |   0
 15 files changed, 114 insertions(+), 432 deletions(-)
 delete mode 100644 docs/src/examples/jupyter_notebooks/LR_XYZ_example.ipynb
 create mode 100644 docs/src/qutip_differences.md
 rename docs/src/{Qobj.md => users_guide/QuantumObject/QuantumObject.md} (100%)
 rename docs/src/{Qobj_functions.md => users_guide/QuantumObject/QuantumObject_functions.md} (100%)
 rename docs/src/{ => users_guide}/extensions/cuda.md (100%)
 rename docs/src/{ => users_guide/states_and_operators}/density_matrices.md (100%)
 rename docs/src/{ => users_guide/states_and_operators}/expectation_values.md (100%)
 rename docs/src/{ => users_guide/states_and_operators}/qubit_systems.md (100%)
 rename docs/src/{ => users_guide/states_and_operators}/state_vectors.md (100%)
 rename docs/src/{ => users_guide/states_and_operators}/superoperators.md (100%)
 rename docs/src/{ => users_guide/tensor_product}/partial_trace.md (100%)
 rename docs/src/{ => users_guide/tensor_product}/tensor.md (100%)
 rename docs/src/{ => users_guide}/time_evolution/intro.md (100%)

diff --git a/docs/make.jl b/docs/make.jl
index 6967a067..a9225168 100644
--- a/docs/make.jl
+++ b/docs/make.jl
@@ -3,42 +3,43 @@ using Documenter
 
 DocMeta.setdocmeta!(QuantumToolbox, :DocTestSetup, :(using QuantumToolbox); recursive = true)
 
-const PAGES = Any[
-    "Front Matter" => Any[
+const PAGES = [
+    "Front Matter" => [
         "Introduction" => "index.md",
         "Installation" => "install.md",
+        "Key differences from QuTiP" => "qutip_differences.md",
         # "Cite QuantumToolbox.jl" => "cite.md",
     ],
-    "Users Guide" => Any[
-        "Basic Operations on Quantum Objects" => Any[
-            "Qobj.md",
-            "Qobj_functions.md",
+    "Users Guide" => [
+        "Basic Operations on Quantum Objects" => [
+            "users_guide/QuantumObject/QuantumObject.md",
+            "users_guide/QuantumObject/QuantumObject_functions.md",
         ],
-        "Manipulating States and Operators" => Any[
-            "state_vectors.md",
-            "density_matrices.md",
-            "qubit_systems.md",
-            "expectation_values.md",
-            "superoperators.md",
+        "Manipulating States and Operators" => [
+            "users_guide/states_and_operators/state_vectors.md",
+            "users_guide/states_and_operators/density_matrices.md",
+            "users_guide/states_and_operators/qubit_systems.md",
+            "users_guide/states_and_operators/expectation_values.md",
+            "users_guide/states_and_operators/superoperators.md",
         ],
-        "Tensor Products and Partial Traces" => Any[
-            "tensor.md",
-            "partial_trace.md",
+        "Tensor Products and Partial Traces" => [
+            "users_guide/tensor_product/tensor.md",
+            "users_guide/tensor_product/partial_trace.md",
         ],
-        "Time Evolution and Dynamics" => Any[
-            "time_evolution/intro.md"
+        "Time Evolution and Dynamics" => [
+            "users_guide/time_evolution/intro.md"
         ],
-        "Solving for Steady-State Solutions" => Any[],
-        "Two-time correlation functions" => Any[],
-        "Extensions" => Any[
-            "extensions/cuda.md",
+        "Solving for Steady-State Solutions" => [],
+        "Two-time correlation functions" => [],
+        "Extensions" => [
+            "users_guide/extensions/cuda.md",
         ],
     ],
-    "Tutorials" => Any[
-        "Time Evolution" => Any[
+    "Tutorials" => [
+        "Time Evolution" => [
             "Low Rank Master Equation" => "tutorials/lowrank.md",
         ],
-        "Miscellaneous Tutorials" => Any[
+        "Miscellaneous Tutorials" => [
             "tutorials/logo.md",
         ],
     ],
diff --git a/docs/src/examples/jupyter_notebooks/LR_XYZ_example.ipynb b/docs/src/examples/jupyter_notebooks/LR_XYZ_example.ipynb
deleted file mode 100644
index 7031b7c6..00000000
--- a/docs/src/examples/jupyter_notebooks/LR_XYZ_example.ipynb
+++ /dev/null
@@ -1,407 +0,0 @@
-{
- "cells": [
-  {
-   "cell_type": "code",
-   "execution_count": 1,
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "# using PyPlot\n",
-    "using Plots\n",
-    "using LaTeXStrings\n",
-    "using QuPhys;"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 2,
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "# Define lattice \n",
-    "Nx, Ny = 2, 3\n",
-    "latt = Lattice(Nx=Nx, Ny=Ny)\n",
-    "\n",
-    "# Define lr-space dimensions\n",
-    "N_cut = 2         # Number of states of each mode\n",
-    "N_modes = latt.N  # Number of modes\n",
-    "N = N_cut^N_modes # Total number of states\n",
-    "M = Nx*Ny+1       # Number of states in the LR basis\n",
-    "\n",
-    "# Define lr states. Take as initial state all spins up. All other N states are taken as those with miniman Hamming distance to the initial state.\n",
-    "ϕ = Vector{QuantumObject{Vector{ComplexF64}, KetQuantumObject}}(undef, M)\n",
-    "ϕ[1] = kron(repeat([basis(2,0)],N_modes)...)\n",
-    "\n",
-    "global i=1\n",
-    "for j in 1:N_modes\n",
-    "    global i+=1\n",
-    "    i<=M && (ϕ[i] = mb(sp, j, latt) * ϕ[1])\n",
-    "end\n",
-    "for k in 1:N_modes-1\n",
-    "    for l=k+1:N_modes\n",
-    "        global i+=1\n",
-    "        i<=M && (ϕ[i] = mb(sp, k, latt) * mb(sp, l, latt) * ϕ[1])\n",
-    "    end\n",
-    "end\n",
-    "for i in i+1:M\n",
-    "    ϕ[i] = QuantumObject(rand(ComplexF64,size(ϕ[1])[1]), dims=ϕ[1].dims)\n",
-    "    normalize!(ϕ[i])\n",
-    "end\n",
-    "\n",
-    "# Define initial state\n",
-    "z  = hcat(broadcast(x->x.data, ϕ)...)\n",
-    "p0 = 0. # Population of the lr states other than the initial state\n",
-    "B  = Matrix(Diagonal([1+0im; p0 * ones(M-1)]))\n",
-    "S  = z'*z # Overlap matrix\n",
-    "B = B / tr(S*B) # Normalize B\n",
-    "\n",
-    "ρ = QuantumObject(z*B*z', dims=ones(Int,N_modes)*N_cut); # Full density matrix"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 3,
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "# Define Hamiltonian and collapse operators\n",
-    "Jx = 0.9 \n",
-    "Jy = 1.04\n",
-    "Jz = 1. \n",
-    "hx = 0.\n",
-    "γ  = 1\n",
-    "\n",
-    "Sx = sum([mb(sx, i, latt) for i in 1:latt.N])\n",
-    "Sy = sum([mb(sy, i, latt) for i in 1:latt.N])\n",
-    "Sz = sum([mb(sz, i, latt) for i in 1:latt.N])\n",
-    "SFxx = sum([mb(sx, i, latt) * mb(sx, j, latt) for i in 1:latt.N for j in 1:latt.N])\n",
-    "\n",
-    "H, c_ops = TFIM(Jx, Jy, Jz, hx, γ, latt; bc=pbc, order=1)\n",
-    "e_ops = (Sx,Sy,Sz,SFxx)\n",
-    "\n",
-    "tl = LinRange(0,10,100);"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 9,
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "  0.126005 seconds (822 allocations: 24.337 MiB)\n"
-     ]
-    }
-   ],
-   "source": [
-    "# Full evolution\n",
-    "@time mesol = mesolve(H, ρ, tl, c_ops; e_ops=[e_ops...]);\n",
-    "A = Matrix(mesol.states[end].data)\n",
-    "λ = eigvals(Hermitian(A))\n",
-    "Strue  = -sum(λ.*log2.(λ))/latt.N;"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 5,
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "# Define functions to be evaluated during the low-rank evolution\n",
-    "\n",
-    "function f_purity(p,z,B)\n",
-    "    N  = p.N\n",
-    "    M  = p.M\n",
-    "    S  = p.S\n",
-    "    T  = p.temp_MM\n",
-    "\n",
-    "    mul!(T, S, B)\n",
-    "    tr(T^2)\n",
-    "end\n",
-    "\n",
-    "function f_trace(p,z,B)\n",
-    "    N  = p.N\n",
-    "    M  = p.M\n",
-    "    S  = p.S\n",
-    "    T  = p.temp_MM\n",
-    "\n",
-    "    mul!(T,S,B)\n",
-    "    tr(T)\n",
-    "end\n",
-    "\n",
-    "function f_entropy(p,z,B)\n",
-    "    C = p.A0\n",
-    "    σ = p.Bi\n",
-    "\n",
-    "    mul!(C, z, sqrt(B))\n",
-    "    mul!(σ, C', C)\n",
-    "    λ = eigvals(Hermitian(σ))\n",
-    "    λ = λ[λ.>1e-10]\n",
-    "    return -sum(λ .* log2.(λ))\n",
-    "end;"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 8,
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "Progress: 100%\n",
-      "  2.763879 seconds (262.80 k allocations: 907.240 MiB, 4.12% gc time)\n"
-     ]
-    }
-   ],
-   "source": [
-    "# Define the options for the low-rank evolution\n",
-    "\n",
-    "opt = LRMesolveOptions( \n",
-    "    alg        = Tsit5(),\n",
-    "    err_max    = 1e-3,\n",
-    "    p0         = 0.,\n",
-    "    atol_inv   = 1e-6,\n",
-    "    adj_condition=\"variational\",\n",
-    "    Δt = 0.\n",
-    ");\n",
-    "\n",
-    "@time lrsol = lr_mesolve(H, z, B, tl, c_ops; e_ops=e_ops, f_ops=(f_purity, f_entropy, f_trace,), opt=opt);"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 7,
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "image/png": 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",
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344.947 Q2053.45 344.341 2052.84 343.98 Q2052.23 343.603 2051.69 343.504 Q2051.17 343.406 2050.64 343.406 Q2049.61 343.406 2048.82 343.734 Q2048.04 344.062 2047.64 344.57 Q2047.25 345.062 2047.07 345.537 Q2046.89 346.013 2046.89 346.423 Q2046.89 346.783 2046.97 347.079 Q2047.07 347.357 2047.3 347.57 Q2047.53 347.767 2047.69 347.898 Q2047.87 348.03 2048.27 348.144 Q2048.66 348.259 2048.82 348.308 Q2048.99 348.341 2049.45 348.439 Q2050.4 348.636 2050.82 348.751 Q2051.25 348.849 2051.81 349.128 Q2052.38 349.407 2052.81 349.849 Q2053.84 350.882 2053.84 352.309 Q2053.84 352.833 2053.66 353.473 Q2053.5 354.112 2053.02 354.916 Q2052.54 355.719 2051.82 356.359 Q2051.1 356.998 2049.86 357.441 Q2048.63 357.883 2047.08 357.883 Q2044.94 357.883 2043.61 356.982 Q2042.28 356.063 2042.28 354.621 Q2042.28 353.571 2042.85 352.997 Q2043.43 352.407 2044.17 352.407 Q2044.72 352.407 2045.07 352.719 Q2045.41 353.014 2045.41 353.571 Q2045.41 354.325 2044.81 354.899 Q2044.2 355.473 2043.3 355.358 Q2044.07 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-      ]
-     },
-     "execution_count": 7,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "fig = plot(layout=(1,2), size=(800,400), legend=:topleft, xlabel=L\"\\gamma t\")\n",
-    "\n",
-    "m_me = real(mesol.expect[3,:])/Nx/Ny\n",
-    "m_lr = real(lrsol.expvals[3,:])/Nx/Ny\n",
-    "\n",
-    "plot!(fig[1], tl, m_lr, label=raw\"LR $[M=M(t)]$\", lw=2)\n",
-    "plot!(fig[1], tl, m_me, ls=:dash, label=\"Fock\", lw=2)\n",
-    "ylabel!(fig[1], L\"M_{z}\")\n",
-    "\n",
-    "plot!(fig[2], tl, 1 .-real(lrsol.funvals[1,:]), label=L\"$1-P$\", lw=2)\n",
-    "plot!(fig[2], tl, 1 .-real(lrsol.funvals[3,:]), c=:orange, label=L\"$1-\\rm{Tr}(\\rho)$\", lw=2, ls=:dash)\n",
-    "plot!(fig[2], tl, real(lrsol.funvals[2,:])/Nx/Ny, c=:blue, label=L\"S\", lw=2)\n",
-    "hline!(fig[2], [Strue], c=:blue, ls=:dash, lw=2, label=L\"S^{\\rm \\,true}_{\\rm ss}\")\n",
-    "ylabel!(fig[2], \"value\")\n",
-    "xlabel!(fig[2], L\"\\gamma t\")"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": null,
-   "metadata": {},
-   "outputs": [],
-   "source": []
-  }
- ],
- "metadata": {
-  "kernelspec": {
-   "display_name": "Julia 1.9.4",
-   "language": "julia",
-   "name": "julia-1.9"
-  },
-  "language_info": {
-   "file_extension": ".jl",
-   "mimetype": "application/julia",
-   "name": "julia",
-   "version": "1.9.4"
-  },
-  "orig_nbformat": 4
- },
- "nbformat": 4,
- "nbformat_minor": 2
-}
diff --git a/docs/src/index.md b/docs/src/index.md
index da4bd7cc..70c0dac5 100644
--- a/docs/src/index.md
+++ b/docs/src/index.md
@@ -4,4 +4,87 @@ CurrentModule = QuantumToolbox
 
 # [Introduction](@id doc: Introduction)
 
-[QuantumToolbox](https://github.com/qutip/QuantumToolbox.jl) is a Julia package for numerical simulation of quantum systems.
+[QuantumToolbox.jl](https://github.com/qutip/QuantumToolbox.jl) is a cutting-edge Julia package designed for quantum physics simulations, closely emulating the popular Python [QuTiP](https://github.com/qutip/qutip) package. It uniquely combines the simplicity and power of Julia with advanced features like GPU acceleration and distributed computing, making simulation of quantum systems more accessible and efficient.
+
+*With this package, moving from Python to Julia for quantum physics simulations has never been easier*, due to the similar syntax and functionalities.
+
+## Features
+
+QuantumToolbox.jl is equipped with a robust set of features:
+
+- **Quantum State and Operator Manipulation:** Easily handle quantum states and operators with a rich set of tools, with the same functionalities as QuTiP.
+- **Dynamical Evolution:** Advanced solvers for time evolution of quantum systems, thanks to the powerful [DifferentialEquations.jl](https://github.com/SciML/DifferentialEquations.jl) package.
+- **GPU Computing:** Leverage GPU resources for high-performance computing. For example, you run the master equation direclty on the GPU with the same syntax as the CPU case.
+- **Distributed Computing:** Distribute the computation over multiple nodes (e.g., a cluster). For example, you can run undreds of quantum trajectories in parallel on a cluster, with, again, the same syntax as the simple case.
+- **Easy Extension:** Easily extend the package, taking advantage of the Julia language features, like multiple dispatch and metaprogramming.
+
+## Brief example
+
+We now provide a brief example to demonstrate the similarity between [QuantumToolbox.jl](https://github.com/qutip/QuantumToolbox.jl) and [QuTiP](https://github.com/qutip/qutip).
+
+Let's consider a quantum harmonic oscillator with a Hamiltonian given by:
+
+```math
+\hat{H} = \omega \hat{a}^\dagger \hat{a}
+```
+
+where ``\hat{a}`` and ``\hat{a}^\dagger`` are the annihilation and creation operators, respectively. We can define the Hamiltonian as follows:
+
+```julia
+using QuantumToolbox
+
+N = 20 # cutoff of the Hilbert space dimension
+ω = 1.0 # frequency of the harmonic oscillator
+
+a = destroy(N) # annohilation operator
+
+H = ω * a' * a
+```
+
+We now introduce some losses in a thermal environment, described by the Lindblad master equation:
+
+```math
+\frac{d \hat{\rho}}{dt} = -i [\hat{H}, \hat{\rho}] + \gamma \mathcal{D}[\hat{a}] \hat{\rho}
+```
+
+where ``\hat{\rho}`` is the density matrix, ``\gamma`` is the damping rate, and ``\mathcal{D}[\hat{a}]`` is the Lindblad dissipator, defined as:
+
+```math
+\mathcal{D}[\hat{a}]\hat{\rho} = \hat{a}\hat{\rho}\hat{a}^\dagger - \frac{1}{2}\hat{a}^\dagger\hat{a}\hat{\rho} - \frac{1}{2}\hat{\rho}\hat{a}^\dagger\hat{a}
+```
+
+We nowm compute the time evolution of the system using the [`mesolve`](@ref) function, starting from the initial state ``\ket{\psi (0)} = \ket{3}``:
+
+```julia
+γ = 0.1 # damping rate
+
+ψ0 = fock(N, 3) # initial state
+
+tlist = range(0, 10, 100) # time list
+
+c_ops = [sqrt(γ) * a]
+e_ops = [a' * a]
+
+sol = mesolve(H, ψ0, tlist, c_ops, e_ops=e_ops)
+```
+
+We can extract the expectation value of the number operator ``\hat{a}^\dagger \hat{a}`` with the command `sol.expect`, and the states with the command `sol.states`.
+
+### Passing in the GPU
+
+We can easily pass the computation to the GPU, by simply passing all the `Qobj`s to the GPU:
+
+```julia
+using CUDA
+
+a_gpu = cu(destroy(N)) # The only difference in the code is the cu() function
+
+H_gpu = ω * a_gpu' * a_gpu
+
+ψ0_gpu = cu(fock(N, 3))
+
+c_ops = [sqrt(γ) * a_gpu]
+e_ops = [a_gpu' * a_gpu]
+
+sol = mesolve(H_gpi, ψ0_gpu, tlist, c_ops, e_ops=e_ops)
+```
\ No newline at end of file
diff --git a/docs/src/qutip_differences.md b/docs/src/qutip_differences.md
new file mode 100644
index 00000000..1cc06239
--- /dev/null
+++ b/docs/src/qutip_differences.md
@@ -0,0 +1,5 @@
+```@meta
+CurrentModule = QuantumToolbox
+```
+
+# [Key differences from QuTiP](@id doc: Key differences from QuTiP)
diff --git a/docs/src/Qobj.md b/docs/src/users_guide/QuantumObject/QuantumObject.md
similarity index 100%
rename from docs/src/Qobj.md
rename to docs/src/users_guide/QuantumObject/QuantumObject.md
diff --git a/docs/src/Qobj_functions.md b/docs/src/users_guide/QuantumObject/QuantumObject_functions.md
similarity index 100%
rename from docs/src/Qobj_functions.md
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similarity index 100%
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similarity index 100%
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similarity index 100%
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similarity index 100%
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rename to docs/src/users_guide/states_and_operators/qubit_systems.md
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similarity index 100%
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similarity index 100%
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From f2b9590b8b49facde60fb74ab99115b65937cb79 Mon Sep 17 00:00:00 2001
From: Alberto Mercurio <alberto.mercurio96@gmail.com>
Date: Mon, 27 May 2024 00:59:38 +0200
Subject: [PATCH 27/27] update readme

---
 README.md | 82 ++++++++++++++++++++++++++++++++++++++++++++++++++++---
 1 file changed, 78 insertions(+), 4 deletions(-)

diff --git a/README.md b/README.md
index 61b33b29..765b20f5 100644
--- a/README.md
+++ b/README.md
@@ -25,14 +25,88 @@ and [Y.-T. Huang](https://github.com/ytdHuang).
 
 [QuantumToolbox.jl](https://github.com/qutip/QuantumToolbox.jl) is a cutting-edge Julia package designed for quantum physics simulations, closely emulating the popular Python [QuTiP](https://github.com/qutip/qutip) package. It uniquely combines the simplicity and power of Julia with advanced features like GPU acceleration and distributed computing, making simulation of quantum systems more accessible and efficient.
 
+*With this package, moving from Python to Julia for quantum physics simulations has never been easier*, due to the similar syntax and functionalities.
+
 ## Features
 
 QuantumToolbox.jl is equipped with a robust set of features:
 
-- **Quantum State and Operator Manipulation:** Easily handle quantum states and operators with a rich set of tools.
-- **Dynamical Evolution:** Advanced solvers for time evolution of quantum systems.
-- **Measurement and Statistics:** Comprehensive quantum measurement simulation and analysis.
-- **GPU and Distributed Computing:** Leverage GPU and distributed resources for high-performance computing.
+- **Quantum State and Operator Manipulation:** Easily handle quantum states and operators with a rich set of tools, with the same functionalities as QuTiP.
+- **Dynamical Evolution:** Advanced solvers for time evolution of quantum systems, thanks to the powerful [DifferentialEquations.jl](https://github.com/SciML/DifferentialEquations.jl) package.
+- **GPU Computing:** Leverage GPU resources for high-performance computing. For example, you run the master equation direclty on the GPU with the same syntax as the CPU case.
+- **Distributed Computing:** Distribute the computation over multiple nodes (e.g., a cluster). For example, you can run undreds of quantum trajectories in parallel on a cluster, with, again, the same syntax as the simple case.
+- **Easy Extension:** Easily extend the package, taking advantage of the Julia language features, like multiple dispatch and metaprogramming.
+
+## Brief example
+
+We now provide a brief example to demonstrate the similarity between [QuantumToolbox.jl](https://github.com/qutip/QuantumToolbox.jl) and [QuTiP](https://github.com/qutip/qutip).
+
+Let's consider a quantum harmonic oscillator with a Hamiltonian given by:
+
+$$
+\hat{H} = \omega \hat{a}^\dagger \hat{a}
+$$
+
+where $\hat{a}$ and $\hat{a}^\dagger$ are the annihilation and creation operators, respectively. We can define the Hamiltonian as follows:
+
+```julia
+using QuantumToolbox
+
+N = 20 # cutoff of the Hilbert space dimension
+ω = 1.0 # frequency of the harmonic oscillator
+
+a = destroy(N) # annohilation operator
+
+H = ω * a' * a
+```
+
+We now introduce some losses in a thermal environment, described by the Lindblad master equation:
+
+$$
+\frac{d \hat{\rho}}{dt} = -i [\hat{H}, \hat{\rho}] + \gamma \mathcal{D}[\hat{a}] \hat{\rho}
+$$
+
+where $\hat{\rho}$ is the density matrix, $\gamma$ is the damping rate, and $\mathcal{D}[\hat{a}]$ is the Lindblad dissipator, defined as:
+
+$$
+\mathcal{D}[\hat{a}]\hat{\rho} = \hat{a}\hat{\rho}\hat{a}^\dagger - \frac{1}{2}\hat{a}^\dagger\hat{a}\hat{\rho} - \frac{1}{2}\hat{\rho}\hat{a}^\dagger\hat{a}
+$$
+
+We now compute the time evolution of the system using the [`mesolve`](@ref) function, starting from the initial state $\ket{\psi (0)} = \ket{3}$:
+
+```julia
+γ = 0.1 # damping rate
+
+ψ0 = fock(N, 3) # initial state
+
+tlist = range(0, 10, 100) # time list
+
+c_ops = [sqrt(γ) * a]
+e_ops = [a' * a]
+
+sol = mesolve(H, ψ0, tlist, c_ops, e_ops=e_ops)
+```
+
+We can extract the expectation value of the number operator $\hat{a}^\dagger \hat{a}$ with the command `sol.expect`, and the states with the command `sol.states`.
+
+### Passing in the GPU
+
+We can easily pass the computation to the GPU, by simply passing all the `Qobj`s to the GPU:
+
+```julia
+using CUDA
+
+a_gpu = cu(destroy(N)) # The only difference in the code is the cu() function
+
+H_gpu = ω * a_gpu' * a_gpu
+
+ψ0_gpu = cu(fock(N, 3))
+
+c_ops = [sqrt(γ) * a_gpu]
+e_ops = [a_gpu' * a_gpu]
+
+sol = mesolve(H_gpi, ψ0_gpu, tlist, c_ops, e_ops=e_ops)
+```
 
 ## Installation
 `QuantumToolbox.jl` requires `Julia 1.7+`. To install it, run the following commands inside Julia's interactive session (also known as REPL):