From a30b8a6adb1312b0d917512b21dfc9de39c485f8 Mon Sep 17 00:00:00 2001 From: VVA2024 Date: Sat, 5 Oct 2024 17:52:15 -0400 Subject: [PATCH 1/2] ampdamp_post_selected --- .../ampdamp_post_selected.yml | 38 +++++++++++++++++++ 1 file changed, 38 insertions(+) create mode 100644 codes/quantum/qubits/permutation_invariant/ampdamp_post_selected.yml diff --git a/codes/quantum/qubits/permutation_invariant/ampdamp_post_selected.yml b/codes/quantum/qubits/permutation_invariant/ampdamp_post_selected.yml new file mode 100644 index 000000000..c2ac78488 --- /dev/null +++ b/codes/quantum/qubits/permutation_invariant/ampdamp_post_selected.yml @@ -0,0 +1,38 @@ +####################################################### +## This is a code entry in the error correction zoo. ## +## https://github.com/errorcorrectionzoo ## +####################################################### + +code_id: ampdamp_post_selected +physical: qubits +logical: qubits + +name: 'Post-selected PI code' +introduced: '\cite{arxiv:2410.00155}' + +description: | + PI qubit code whose recovery succeeds at protecting against \hyperref[topic:ad]{AD} errors with a success probability less than one. + + The simplest code admits a codeword basis of + \begin{align} + \begin{split} + |\overline{0}\rangle&=\frac{1}{\sqrt{3}}\left(|100\rangle+|010\rangle+|001\rangle\right)\\|\overline{1}\rangle&=|111\rangle~. + \end{split} + \end{align} + The code violates the diagonal part of the \term{Knill-Laflamme conditions}. + Nevertheless, the code admits a probabilistic recovery that protects against single losses and yields an infidelity of \hyperref[topic:asymptotics]{order} \(O(\gamma^2)\) in the noise rate \(\gamma\). + The failure probability of the recovery is of the same \hyperref[topic:asymptotics]{order} as the probability of the single loss errors, i.e., \(O(\gamma)\). + + +relations: + parents: + - code_id: qubit_permutation_invariant + - code_id: ampdamp + + +# Begin Entry Meta Information +_meta: + # Change log - most recent first + changelog: + - user_id: VictorVAlbert + date: '2024-10-05' From ca9c6dc24bdf721138eb134797483f5dcdb1825f Mon Sep 17 00:00:00 2001 From: VVA2024 Date: Sun, 6 Oct 2024 15:34:39 -0400 Subject: [PATCH 2/2] ~ --- .../permutation_invariant/ampdamp_post_selected.yml | 6 ++++++ users/users_db.yml | 12 ++++++++++++ 2 files changed, 18 insertions(+) diff --git a/codes/quantum/qubits/permutation_invariant/ampdamp_post_selected.yml b/codes/quantum/qubits/permutation_invariant/ampdamp_post_selected.yml index c2ac78488..04897f83d 100644 --- a/codes/quantum/qubits/permutation_invariant/ampdamp_post_selected.yml +++ b/codes/quantum/qubits/permutation_invariant/ampdamp_post_selected.yml @@ -36,3 +36,9 @@ _meta: changelog: - user_id: VictorVAlbert date: '2024-10-05' + - user_id: SouravDutta + date: '2024-10-05' + - user_id: AdityaJain + date: '2024-10-05' + - user_id: PrabhaMandayam + date: '2024-10-05' diff --git a/users/users_db.yml b/users/users_db.yml index fb1e50631..52d460491 100644 --- a/users/users_db.yml +++ b/users/users_db.yml @@ -34,6 +34,18 @@ # +- user_id: PrabhaMandayam + name: 'Prabha Mandayam' + gscholaruser: kHDUY0QAAAAJ + +- user_id: AdityaJain + name: 'Aditya Jain' + gscholaruser: 29yVv_cAAAAJ + +- user_id: SouravDutta + name: 'Sourav Dutta' + gscholaruser: STv-HycAAAAJ + - user_id: ShiJieSamuelTan name: 'Shi Jie Samuel Tan' gscholaruser: 57rSajgAAAAJ