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Add demonstration for kernels module (#266)
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* Add tutorial file

* Begin intro text

* Add ansatz, measurement, encoding

* Add cost

* Add details on CFIM with Jacobian

* Add Jacobian to cost

* Add Jacobian

* Add init

* Fix cost

* Fix compiling

* Add optimization

* Add comparison plot

* Finish optimization

* Apply suggestions from code review

Co-authored-by: Nathan Killoran <co9olguy@users.noreply.github.com>

* Add link

* Improve introduction

* Add variational algo section

* Improve intro text further

* Update cirq comment

* Update encoding comment

* Black -l 80

* Improve state prep comment

* Improve cost function part

* Improve comparison text

* Add outro

* Add author

* Add illustration figure

* Fix display

* Add tutorial to gallery

* Fix gallery description

* Apply suggestions from code review

Co-authored-by: Nathan Killoran <co9olguy@users.noreply.github.com>

* Apply further suggestions

* Shorten title

* Apply suggestions from code review

* Use correct preview image

* fix

* Add initial kernel module files

* Convert to RST

* Add images, fix math

* Add docstring

* Adjust to modified kernels module

* Add reference

* Temporarily update requirements

* Update notebook

* Black

* Replace inv with adjoint

* Fix some errors

* Fix function calls

* Adds demo on unitary designs (#252)

* Initial commit; introductory details plus skeleton of remainder.

* Add details on complex projective and unitary designs.

* Add related demo.

* Update repo to use the PennyLane and QChem v0.15.1  (#262)

* Update repo to use the PennyLane and QChem v0.15.1

* more

* Major updates to section on twirling and fidelity.

* Major updates; finish code example.

* Change PL branch; update entry in TOC.

* Upload thumbnail.

* Apply suggestions from code review

* Rewrite example to use qfunc transforms.

* Add lots of references. Start conclusion.

* First full draft of demo.

* Apply suggestions from code review

Co-authored-by: ixfoduap <40441298+ixfoduap@users.noreply.github.com>

* Fix dashes. Move multi-qubit Clifford discussion into main text.

* Add spherical design example. Cut complex projective design content.

* Elaborate on Clifford group and spherical designs.

* Rearrange some text.

* Apply suggestions from code review

* Streamline apply Clifford function.

* Apply suggestions from code review

Co-authored-by: ixfoduap <40441298+ixfoduap@users.noreply.github.com>

* Remove histogram.

* Update text and add new graphics.

* Tweak text.

* Remove explicit deviation amount.

* Update requirements.txt

* Revert spurious changes to kernel tutorial.

* Apply suggestions from code review

Co-authored-by: ixfoduap <40441298+ixfoduap@users.noreply.github.com>

* Update date.

* Remove extra line from merge.

* Fix link to Haar demo.

* Actually fix the link.

Co-authored-by: Olivia Di Matteo <dimatteo.olivia@gmail.com>
Co-authored-by: Josh Izaac <josh146@gmail.com>
Co-authored-by: ixfoduap <40441298+ixfoduap@users.noreply.github.com>

* Merge the `master` branch into `dev` (#283)

* Update repo to use the PennyLane and QChem v0.15.1  (#262)

* Update repo to use the PennyLane and QChem v0.15.1

* more

* Fixed typos in qubit rotation tutorial (#264)

1. 'a measurement' instead of 'an measurement'
2. a compound predicate should not have a separating comma

* Upgrade sphinx-gallery to v0.9 (#268)

* Update requirements.txt

* Update conf.py

* Update requirements.txt

* Update config.yml

* Adds Feedback-Based Quantum Optimization (FALQON) Tutorial (#265)

* initial commit

* notebooks

* Add basic theory

* Update falqon_david.ipynb

* Update falqon_david.ipynb

* Update falqon_david.ipynb

* Update falqon_david.ipynb

* change

* change

* changes

* Update falqon_david.ipynb

* Update falqon_david.ipynb

* bird seed

* change

* Update falqon_david-checkpoint.ipynb

* Add real data set

* Update falqon_david.ipynb

* Update falqon_david.ipynb

* Update falqon_david.ipynb

* Update falqon_david.ipynb

* python file

* adds maxclique image

* bird seed

* edits to tutorial

* tiny change

* Update falqon_david.ipynb

* Update falqon_david.ipynb

* Add short benchmark summary

* change

* change

* change

* tutorial changes

* final changes

* change

* Delete falqon_david-checkpoint.ipynb

* cite

* link

* changes

* Apply suggestions from code review

Co-authored-by: ixfoduap <40441298+ixfoduap@users.noreply.github.com>

* change

* JM review

* Various minor changes, update benchmark data

* Implement Olivia's suggestions except phi normalization and math at start

* Change phi normalization

* Simplify introductory math

* Fix math error

* Fix math error

* Update tutorial_falqon.py

* Update tutorial_falqon.py

* Update tutorial_falqon.py

* change

* change

* Apply suggestions from code review

Co-authored-by: ixfoduap <40441298+ixfoduap@users.noreply.github.com>

* change

* change

* Update demonstrations/tutorial_falqon.py

Co-authored-by: ixfoduap <40441298+ixfoduap@users.noreply.github.com>

* Update falqon.py

* Apply suggestions from code review

Co-authored-by: Olivia Di Matteo <2068515+glassnotes@users.noreply.github.com>

* small change

Co-authored-by: David Wakeham <david.a.wakeham@gmail.com>
Co-authored-by: ixfoduap <40441298+ixfoduap@users.noreply.github.com>
Co-authored-by: Olivia Di Matteo <2068515+glassnotes@users.noreply.github.com>

* use adjoint (#272)

* CH1132 | Fix TOC Bug In Xanadu Themes (#274)

* Table of contents no longer disapears at the bottom of page

* Adds missing semi-colon

* Revert psycf version

* Updates comments

* TOC top matches docs page

* Reverts _static/thumbs/

* Update tutorial_falqon.py

* CH4398 | Fix Community Card Anchors (#275)

* Page scrolls to card if hash is present in URL

* Adds id to card that consists of first letters of title of card and author last name

* IDs are more readable

* Hovering over active card does not remove active class

* IDs no longer have accents

* Active class remains on cards

* CH4568 | Fix Size Of Community Demo Cards (#277)

* Card header uses flexbox

* Cards are same height, text is scrollable

* Descriptions are the same height and overflow is hidden

* Updates read more button

* Overflowing text shows read more link

* Adds modals to read descriptions

* Removes default button styling

* Fixes button alignment

* Community cards are responsive

* JS handles text overflow on page resizing

* Removes unnecessary p tags

* Update videos.rst (#278)

* Update demos_research.rst

* Fix FALQON Tutorial (#280)

* change

* fix

* Made sure to keep track of running best_cost (#281)

This ensures that our computed output_bloch_v is truly the best one encountered in gradient descent, instead of one computed by just any parameters that result in a cost less than our very first initial cost.

* increment cache number

* Tutorial Classical Shadows  (#263)

* Create tutorial_classical_shadows.py

* first working version for single qubit

* added comments, multiqubit is working

* adding rough intro to tutorial, metadata, and integrating with qml docs

* Formatting the comments

* adding shadow_state() and snapshot_state()

* Update demonstrations/tutorial_classical_shadows.py

Co-authored-by: bdoolittle <brian.d.doolittle@gmail.com>

* adding image and updating introduction

* integrating test code into demo

* adding section headings

* 90 character limit to ensure page is rendered correctly

* Added background to classical shadows

* adding theory portion to state reconstruction section

* small fix on heading

* minor updates to the state reconstruction section

* updating state reconstruction tests

* state reconstruction example

* Wrapped up background

* Restructuring, introducing testing

* Got rid of duplicate information

* quick fixes/rearrangement

* median of means, formatting

* minor fixes

* edits/flow

* Estimating Pauli observables introduction

* adding expected test code-blocks

* fixed math

* Adding final example and shadow bound test

* fix typos

* ran black, added part about pytest, added test output, added random seed

* dots

* adding card image

* fix to meta data

* small typo's

* Update demonstrations/tutorial_classical_shadows.py

Co-authored-by: Tom Bromley <49409390+trbromley@users.noreply.github.com>

* Update demonstrations/tutorial_classical_shadows.py

Co-authored-by: Tom Bromley <49409390+trbromley@users.noreply.github.com>

* Update demonstrations/tutorial_classical_shadows.py

Co-authored-by: Tom Bromley <49409390+trbromley@users.noreply.github.com>

* Update demonstrations/tutorial_classical_shadows.py

Co-authored-by: Tom Bromley <49409390+trbromley@users.noreply.github.com>

* Update demonstrations/tutorial_classical_shadows.py

Co-authored-by: Tom Bromley <49409390+trbromley@users.noreply.github.com>

* moving demo to research category

* fixing citations

* Update demonstrations/tutorial_classical_shadows.py

Co-authored-by: Tom Bromley <49409390+trbromley@users.noreply.github.com>

* fixing broken equation

* removing tests

* changing plot

* Addressing comments pt 1

* Remove type suggestions.

* black

* small fixes, added conclusion

* Changed shadow to two seperate arrays, simplified observable estimator.

* added comments

* small typos

* Make docstrings consistent.

* Fix citations

* Small improvements to text flow

* ran through spellcheck

* Changed final figure, addressed most comments.

* A single dot.

* Update demos_research.rst

Co-authored-by: Olivia Di Matteo <2068515+glassnotes@users.noreply.github.com>

* Update demonstrations/tutorial_classical_shadows.py

Co-authored-by: Olivia Di Matteo <2068515+glassnotes@users.noreply.github.com>

* Update demonstrations/tutorial_classical_shadows.py

Co-authored-by: Olivia Di Matteo <2068515+glassnotes@users.noreply.github.com>

* Update demonstrations/tutorial_classical_shadows.py

Co-authored-by: Olivia Di Matteo <2068515+glassnotes@users.noreply.github.com>

* Update demonstrations/tutorial_classical_shadows.py

Co-authored-by: Olivia Di Matteo <2068515+glassnotes@users.noreply.github.com>

* Update demonstrations/tutorial_classical_shadows.py

Co-authored-by: Olivia Di Matteo <2068515+glassnotes@users.noreply.github.com>

* Update demonstrations/tutorial_classical_shadows.py

Co-authored-by: Olivia Di Matteo <2068515+glassnotes@users.noreply.github.com>

* Update demonstrations/tutorial_classical_shadows.py

Co-authored-by: Olivia Di Matteo <2068515+glassnotes@users.noreply.github.com>

* Update demonstrations/tutorial_classical_shadows.py

Co-authored-by: Olivia Di Matteo <2068515+glassnotes@users.noreply.github.com>

* Update demonstrations/tutorial_classical_shadows.py

Co-authored-by: Olivia Di Matteo <2068515+glassnotes@users.noreply.github.com>

* Changed

* Bullet rendering issue

* print formatting fix

* unblack

* Apply suggestions from code review

* Apply suggestions from code review

Co-authored-by: Tom Bromley <49409390+trbromley@users.noreply.github.com>

* Explain single clifford ensemble

* Apply suggestions from code review

* Update demonstrations/tutorial_classical_shadows.py

Co-authored-by: rooler <roel.wier@gmail.com>
Co-authored-by: Roeland Wiersema <32705838+therooler@users.noreply.github.com>
Co-authored-by: Josh Izaac <josh146@gmail.com>
Co-authored-by: Tom Bromley <49409390+trbromley@users.noreply.github.com>
Co-authored-by: Olivia Di Matteo <2068515+glassnotes@users.noreply.github.com>

* Adding Header Image to Classical Shadows Demo (#284)

* Create tutorial_classical_shadows.py

* first working version for single qubit

* added comments, multiqubit is working

* adding rough intro to tutorial, metadata, and integrating with qml docs

* Formatting the comments

* adding shadow_state() and snapshot_state()

* Update demonstrations/tutorial_classical_shadows.py

Co-authored-by: bdoolittle <brian.d.doolittle@gmail.com>

* adding image and updating introduction

* integrating test code into demo

* adding section headings

* 90 character limit to ensure page is rendered correctly

* Added background to classical shadows

* adding theory portion to state reconstruction section

* small fix on heading

* minor updates to the state reconstruction section

* updating state reconstruction tests

* state reconstruction example

* Wrapped up background

* Restructuring, introducing testing

* Got rid of duplicate information

* quick fixes/rearrangement

* median of means, formatting

* minor fixes

* edits/flow

* Estimating Pauli observables introduction

* adding expected test code-blocks

* fixed math

* Adding final example and shadow bound test

* fix typos

* ran black, added part about pytest, added test output, added random seed

* dots

* adding card image

* fix to meta data

* small typo's

* Update demonstrations/tutorial_classical_shadows.py

Co-authored-by: Tom Bromley <49409390+trbromley@users.noreply.github.com>

* Update demonstrations/tutorial_classical_shadows.py

Co-authored-by: Tom Bromley <49409390+trbromley@users.noreply.github.com>

* Update demonstrations/tutorial_classical_shadows.py

Co-authored-by: Tom Bromley <49409390+trbromley@users.noreply.github.com>

* Update demonstrations/tutorial_classical_shadows.py

Co-authored-by: Tom Bromley <49409390+trbromley@users.noreply.github.com>

* Update demonstrations/tutorial_classical_shadows.py

Co-authored-by: Tom Bromley <49409390+trbromley@users.noreply.github.com>

* moving demo to research category

* fixing citations

* Update demonstrations/tutorial_classical_shadows.py

Co-authored-by: Tom Bromley <49409390+trbromley@users.noreply.github.com>

* fixing broken equation

* removing tests

* changing plot

* Addressing comments pt 1

* Remove type suggestions.

* black

* small fixes, added conclusion

* Changed shadow to two seperate arrays, simplified observable estimator.

* added comments

* small typos

* Make docstrings consistent.

* Fix citations

* Small improvements to text flow

* ran through spellcheck

* Changed final figure, addressed most comments.

* A single dot.

* Update demos_research.rst

Co-authored-by: Olivia Di Matteo <2068515+glassnotes@users.noreply.github.com>

* Update demonstrations/tutorial_classical_shadows.py

Co-authored-by: Olivia Di Matteo <2068515+glassnotes@users.noreply.github.com>

* Update demonstrations/tutorial_classical_shadows.py

Co-authored-by: Olivia Di Matteo <2068515+glassnotes@users.noreply.github.com>

* Update demonstrations/tutorial_classical_shadows.py

Co-authored-by: Olivia Di Matteo <2068515+glassnotes@users.noreply.github.com>

* Update demonstrations/tutorial_classical_shadows.py

Co-authored-by: Olivia Di Matteo <2068515+glassnotes@users.noreply.github.com>

* Update demonstrations/tutorial_classical_shadows.py

Co-authored-by: Olivia Di Matteo <2068515+glassnotes@users.noreply.github.com>

* Update demonstrations/tutorial_classical_shadows.py

Co-authored-by: Olivia Di Matteo <2068515+glassnotes@users.noreply.github.com>

* Update demonstrations/tutorial_classical_shadows.py

Co-authored-by: Olivia Di Matteo <2068515+glassnotes@users.noreply.github.com>

* Update demonstrations/tutorial_classical_shadows.py

Co-authored-by: Olivia Di Matteo <2068515+glassnotes@users.noreply.github.com>

* Update demonstrations/tutorial_classical_shadows.py

Co-authored-by: Olivia Di Matteo <2068515+glassnotes@users.noreply.github.com>

* Changed

* Bullet rendering issue

* print formatting fix

* unblack

* Apply suggestions from code review

* Apply suggestions from code review

Co-authored-by: Tom Bromley <49409390+trbromley@users.noreply.github.com>

* Explain single clifford ensemble

* Apply suggestions from code review

* Update demonstrations/tutorial_classical_shadows.py

* adding header image

* Update demonstrations/tutorial_classical_shadows.py

* Update demonstrations/tutorial_classical_shadows.py

Co-authored-by: rooler <roel.wier@gmail.com>
Co-authored-by: Roeland Wiersema <32705838+therooler@users.noreply.github.com>
Co-authored-by: Josh Izaac <josh146@gmail.com>
Co-authored-by: Tom Bromley <49409390+trbromley@users.noreply.github.com>
Co-authored-by: Olivia Di Matteo <2068515+glassnotes@users.noreply.github.com>
Co-authored-by: Nathan Killoran <co9olguy@users.noreply.github.com>

Co-authored-by: Josh Izaac <josh146@gmail.com>
Co-authored-by: Tommy Vo Tran <tomvotran@ucla.edu>
Co-authored-by: Jack Ceroni <jackceroni@gmail.com>
Co-authored-by: David Wakeham <david.a.wakeham@gmail.com>
Co-authored-by: ixfoduap <40441298+ixfoduap@users.noreply.github.com>
Co-authored-by: Olivia Di Matteo <2068515+glassnotes@users.noreply.github.com>
Co-authored-by: Maria Schuld <mariaschuld@gmail.com>
Co-authored-by: Andrew Gardhouse <AndrewGardhouse@gmail.com>
Co-authored-by: Nathan Killoran <co9olguy@users.noreply.github.com>
Co-authored-by: bdoolittle <brian.d.doolittle@gmail.com>
Co-authored-by: rooler <roel.wier@gmail.com>
Co-authored-by: Roeland Wiersema <32705838+therooler@users.noreply.github.com>
Co-authored-by: Tom Bromley <49409390+trbromley@users.noreply.github.com>

* Set `shots=1000` in device (#286)

* Update repo to use the PennyLane and QChem v0.15.1  (#262)

* Update repo to use the PennyLane and QChem v0.15.1

* more

* Fixed typos in qubit rotation tutorial (#264)

1. 'a measurement' instead of 'an measurement'
2. a compound predicate should not have a separating comma

* Upgrade sphinx-gallery to v0.9 (#268)

* Update requirements.txt

* Update conf.py

* Update requirements.txt

* Update config.yml

* Adds Feedback-Based Quantum Optimization (FALQON) Tutorial (#265)

* initial commit

* notebooks

* Add basic theory

* Update falqon_david.ipynb

* Update falqon_david.ipynb

* Update falqon_david.ipynb

* Update falqon_david.ipynb

* change

* change

* changes

* Update falqon_david.ipynb

* Update falqon_david.ipynb

* bird seed

* change

* Update falqon_david-checkpoint.ipynb

* Add real data set

* Update falqon_david.ipynb

* Update falqon_david.ipynb

* Update falqon_david.ipynb

* Update falqon_david.ipynb

* python file

* adds maxclique image

* bird seed

* edits to tutorial

* tiny change

* Update falqon_david.ipynb

* Update falqon_david.ipynb

* Add short benchmark summary

* change

* change

* change

* tutorial changes

* final changes

* change

* Delete falqon_david-checkpoint.ipynb

* cite

* link

* changes

* Apply suggestions from code review

Co-authored-by: ixfoduap <40441298+ixfoduap@users.noreply.github.com>

* change

* JM review

* Various minor changes, update benchmark data

* Implement Olivia's suggestions except phi normalization and math at start

* Change phi normalization

* Simplify introductory math

* Fix math error

* Fix math error

* Update tutorial_falqon.py

* Update tutorial_falqon.py

* Update tutorial_falqon.py

* change

* change

* Apply suggestions from code review

Co-authored-by: ixfoduap <40441298+ixfoduap@users.noreply.github.com>

* change

* change

* Update demonstrations/tutorial_falqon.py

Co-authored-by: ixfoduap <40441298+ixfoduap@users.noreply.github.com>

* Update falqon.py

* Apply suggestions from code review

Co-authored-by: Olivia Di Matteo <2068515+glassnotes@users.noreply.github.com>

* small change

Co-authored-by: David Wakeham <david.a.wakeham@gmail.com>
Co-authored-by: ixfoduap <40441298+ixfoduap@users.noreply.github.com>
Co-authored-by: Olivia Di Matteo <2068515+glassnotes@users.noreply.github.com>

* use adjoint (#272)

* CH1132 | Fix TOC Bug In Xanadu Themes (#274)

* Table of contents no longer disapears at the bottom of page

* Adds missing semi-colon

* Revert psycf version

* Updates comments

* TOC top matches docs page

* Reverts _static/thumbs/

* Update tutorial_falqon.py

* CH4398 | Fix Community Card Anchors (#275)

* Page scrolls to card if hash is present in URL

* Adds id to card that consists of first letters of title of card and author last name

* IDs are more readable

* Hovering over active card does not remove active class

* IDs no longer have accents

* Active class remains on cards

* CH4568 | Fix Size Of Community Demo Cards (#277)

* Card header uses flexbox

* Cards are same height, text is scrollable

* Descriptions are the same height and overflow is hidden

* Updates read more button

* Overflowing text shows read more link

* Adds modals to read descriptions

* Removes default button styling

* Fixes button alignment

* Community cards are responsive

* JS handles text overflow on page resizing

* Removes unnecessary p tags

* Update videos.rst (#278)

* Update demos_research.rst

* Fix FALQON Tutorial (#280)

* change

* fix

* Made sure to keep track of running best_cost (#281)

This ensures that our computed output_bloch_v is truly the best one encountered in gradient descent, instead of one computed by just any parameters that result in a cost less than our very first initial cost.

* Tutorial Classical Shadows  (#263)

* Create tutorial_classical_shadows.py

* first working version for single qubit

* added comments, multiqubit is working

* adding rough intro to tutorial, metadata, and integrating with qml docs

* Formatting the comments

* adding shadow_state() and snapshot_state()

* Update demonstrations/tutorial_classical_shadows.py

Co-authored-by: bdoolittle <brian.d.doolittle@gmail.com>

* adding image and updating introduction

* integrating test code into demo

* adding section headings

* 90 character limit to ensure page is rendered correctly

* Added background to classical shadows

* adding theory portion to state reconstruction section

* small fix on heading

* minor updates to the state reconstruction section

* updating state reconstruction tests

* state reconstruction example

* Wrapped up background

* Restructuring, introducing testing

* Got rid of duplicate information

* quick fixes/rearrangement

* median of means, formatting

* minor fixes

* edits/flow

* Estimating Pauli observables introduction

* adding expected test code-blocks

* fixed math

* Adding final example and shadow bound test

* fix typos

* ran black, added part about pytest, added test output, added random seed

* dots

* adding card image

* fix to meta data

* small typo's

* Update demonstrations/tutorial_classical_shadows.py

Co-authored-by: Tom Bromley <49409390+trbromley@users.noreply.github.com>

* Update demonstrations/tutorial_classical_shadows.py

Co-authored-by: Tom Bromley <49409390+trbromley@users.noreply.github.com>

* Update demonstrations/tutorial_classical_shadows.py

Co-authored-by: Tom Bromley <49409390+trbromley@users.noreply.github.com>

* Update demonstrations/tutorial_classical_shadows.py

Co-authored-by: Tom Bromley <49409390+trbromley@users.noreply.github.com>

* Update demonstrations/tutorial_classical_shadows.py

Co-authored-by: Tom Bromley <49409390+trbromley@users.noreply.github.com>

* moving demo to research category

* fixing citations

* Update demonstrations/tutorial_classical_shadows.py

Co-authored-by: Tom Bromley <49409390+trbromley@users.noreply.github.com>

* fixing broken equation

* removing tests

* changing plot

* Addressing comments pt 1

* Remove type suggestions.

* black

* small fixes, added conclusion

* Changed shadow to two seperate arrays, simplified observable estimator.

* added comments

* small typos

* Make docstrings consistent.

* Fix citations

* Small improvements to text flow

* ran through spellcheck

* Changed final figure, addressed most comments.

* A single dot.

* Update demos_research.rst

Co-authored-by: Olivia Di Matteo <2068515+glassnotes@users.noreply.github.com>

* Update demonstrations/tutorial_classical_shadows.py

Co-authored-by: Olivia Di Matteo <2068515+glassnotes@users.noreply.github.com>

* Update demonstrations/tutorial_classical_shadows.py

Co-authored-by: Olivia Di Matteo <2068515+glassnotes@users.noreply.github.com>

* Update demonstrations/tutorial_classical_shadows.py

Co-authored-by: Olivia Di Matteo <2068515+glassnotes@users.noreply.github.com>

* Update demonstrations/tutorial_classical_shadows.py

Co-authored-by: Olivia Di Matteo <2068515+glassnotes@users.noreply.github.com>

* Update demonstrations/tutorial_classical_shadows.py

Co-authored-by: Olivia Di Matteo <2068515+glassnotes@users.noreply.github.com>

* Update demonstrations/tutorial_classical_shadows.py

Co-authored-by: Olivia Di Matteo <2068515+glassnotes@users.noreply.github.com>

* Update demonstrations/tutorial_classical_shadows.py

Co-authored-by: Olivia Di Matteo <2068515+glassnotes@users.noreply.github.com>

* Update demonstrations/tutorial_classical_shadows.py

Co-authored-by: Olivia Di Matteo <2068515+glassnotes@users.noreply.github.com>

* Update demonstrations/tutorial_classical_shadows.py

Co-authored-by: Olivia Di Matteo <2068515+glassnotes@users.noreply.github.com>

* Changed

* Bullet rendering issue

* print formatting fix

* unblack

* Apply suggestions from code review

* Apply suggestions from code review

Co-authored-by: Tom Bromley <49409390+trbromley@users.noreply.github.com>

* Explain single clifford ensemble

* Apply suggestions from code review

* Update demonstrations/tutorial_classical_shadows.py

Co-authored-by: rooler <roel.wier@gmail.com>
Co-authored-by: Roeland Wiersema <32705838+therooler@users.noreply.github.com>
Co-authored-by: Josh Izaac <josh146@gmail.com>
Co-authored-by: Tom Bromley <49409390+trbromley@users.noreply.github.com>
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* Adding Header Image to Classical Shadows Demo (#284)

* Create tutorial_classical_shadows.py

* first working version for single qubit

* added comments, multiqubit is working

* adding rough intro to tutorial, metadata, and integrating with qml docs

* Formatting the comments

* adding shadow_state() and snapshot_state()

* Update demonstrations/tutorial_classical_shadows.py

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* adding image and updating introduction

* integrating test code into demo

* adding section headings

* 90 character limit to ensure page is rendered correctly

* Added background to classical shadows

* adding theory portion to state reconstruction section

* small fix on heading

* minor updates to the state reconstruction section

* updating state reconstruction tests

* state reconstruction example

* Wrapped up background

* Restructuring, introducing testing

* Got rid of duplicate information

* quick fixes/rearrangement

* median of means, formatting

* minor fixes

* edits/flow

* Estimating Pauli observables introduction

* adding expected test code-blocks

* fixed math

* Adding final example and shadow bound test

* fix typos

* ran black, added part about pytest, added test output, added random seed

* dots

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* small typo's

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* Update demonstrations/tutorial_classical_shadows.py

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* Update demonstrations/tutorial_classical_shadows.py

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* Update demonstrations/tutorial_classical_shadows.py

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* Update demonstrations/tutorial_classical_shadows.py

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* moving demo to research category

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* fixing broken equation

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* Addressing comments pt 1

* Remove type suggestions.

* black

* small fixes, added conclusion

* Changed shadow to two seperate arrays, simplified observable estimator.

* added comments

* small typos

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* Update demonstrations/tutorial_classical_shadows.py

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* Update demonstrations/tutorial_classical_shadows.py

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* Update demonstrations/tutorial_classical_shadows.py

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* Update demonstrations/tutorial_classical_shadows.py

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* Update demonstrations/tutorial_classical_shadows.py

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* Update demonstrations/tutorial_classical_shadows.py

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* Update demonstrations/tutorial_classical_shadows.py

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* Explain single clifford ensemble

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* Update demonstrations/tutorial_classical_shadows.py

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* Incorrect energy landscape in QNG demo (#285)

* Add files via upload

Correct energy landscape

* Update tutorial_vqe_qng.py

Switched blue and red.

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* update shots (and trim whitespace)

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* fix

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* tweak init value

* Last updated

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* Minor learning2learn fixes (#289)

* update minor things

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* Change PyTorch noisy demo to use Amazon Braket (#288)

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* QPU through Braket

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* Add Braket at the beginning as dep, further details on QPU

* mentioned QPU at the beginning

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* minor

* pull in release candidate of PennyLane

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* Hide designs demo. (#295)

* Update `dev` before merging into `master` (#294)

* Update repo to use the PennyLane and QChem v0.15.1  (#262)

* Update repo to use the PennyLane and QChem v0.15.1

* more

* Fixed typos in qubit rotation tutorial (#264)

1. 'a measurement' instead of 'an measurement'
2. a compound predicate should not have a separating comma

* Upgrade sphinx-gallery to v0.9 (#268)

* Update requirements.txt

* Update conf.py

* Update requirements.txt

* Update config.yml

* Adds Feedback-Based Quantum Optimization (FALQON) Tutorial (#265)

* initial commit

* notebooks

* Add basic theory

* Update falqon_david.ipynb

* Update falqon_david.ipynb

* Update falqon_david.ipynb

* Update falqon_david.ipynb

* change

* change

* changes

* Update falqon_david.ipynb

* Update falqon_david.ipynb

* bird seed

* change

* Update falqon_david-checkpoint.ipynb

* Add real data set

* Update falqon_david.ipynb

* Update falqon_david.ipynb

* Update falqon_david.ipynb

* Update falqon_david.ipynb

* python file

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* bird seed

* edits to tutorial

* tiny change

* Update falqon_david.ipynb

* Update falqon_david.ipynb

* Add short benchmark summary

* change

* change

* change

* tutorial changes

* final changes

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* cite

* link

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* change

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* Change phi normalization

* Simplify introductory math

* Fix math error

* Fix math error

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* Update tutorial_falqon.py

* Update tutorial_falqon.py

* change

* change

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* change

* change

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* Update falqon.py

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* small change

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* use adjoint (#272)

* CH1132 | Fix TOC Bug In Xanadu Themes (#274)

* Table of contents no longer disapears at the bottom of page

* Adds missing semi-colon

* Revert psycf version

* Updates comments

* TOC top matches docs page

* Reverts _static/thumbs/

* Update tutorial_falqon.py

* CH4398 | Fix Community Card Anchors (#275)

* Page scrolls to card if hash is present in URL

* Adds id to card that consists of first letters of title of card and author last name

* IDs are more readable

* Hovering over active card does not remove active class

* IDs no longer have accents

* Active class remains on cards

* CH4568 | Fix Size Of Community Demo Cards (#277)

* Card header uses flexbox

* Cards are same height, text is scrollable

* Descriptions are the same height and overflow is hidden

* Updates read more button

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* Removes unnecessary p tags

* Update videos.rst (#278)

* Update demos_research.rst

* Fix FALQON Tutorial (#280)

* change

* fix

* Made sure to keep track of running best_cost (#281)

This ensures that our computed output_bloch_v is truly the best one encountered in gradient descent, instead of one computed by just any parameters that result in a cost less than our very first initial cost.

* Tutorial Classical Shadows  (#263)

* Create tutorial_classical_shadows.py

* first working version for single qubit

* added comments, multiqubit is working

* adding rough intro to tutorial, metadata, and integrating with qml docs

* Formatting the comments

* adding shadow_state() and snapshot_state()

* Update demonstrations/tutorial_classical_shadows.py

Co-authored-by: bdoolittle <brian.d.doolittle@gmail.com>

* adding image and updating introduction

* integrating test code into demo

* adding section headings

* 90 character limit to ensure page is rendered correctly

* Added background to classical shadows

* adding theory portion to state reconstruction section

* small fix on heading

* minor updates to the state reconstruction section

* updating state reconstruction tests

* state reconstruction example

* Wrapped up background

* Restructuring, introducing testing

* Got rid of duplicate information

* quick fixes/rearrangement

* median of means, formatting

* minor fixes

* edits/flow

* Estimating Pauli observables introduction

* adding expected test code-blocks

* fixed math

* Adding final example and shadow bound test

* fix typos

* ran black, added part about pytest, added test output, added random seed

* dots

* adding card image

* fix to meta data

* small typo's

* Update demonstrations/tutorial_classical_shadows.py

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* Update demonstrations/tutorial_classical_shadows.py

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* Update demonstrations/tutorial_classical_shadows.py

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* Update demonstrations/tutorial_classical_shadows.py

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* Update demonstrations/tutorial_classical_shadows.py

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* moving demo to research category

* fixing citations

* Update demonstrations/tutorial_classical_shadows.py

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* fixing broken equation

* removing tests

* changing plot

* Addressing comments pt 1

* Remove type suggestions.

* black

* small fixes, added conclusion

* Changed shadow to two seperate arrays, simplified observable estimator.

* added comments

* small typos

* Make docstrings consistent.

* Fix citations

* Small improvements to text flow

* ran through spellcheck

* Changed final figure, addressed most comments.

* A single dot.

* Update demos_research.rst

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* Update demonstrations/tutorial_classical_shadows.py

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* Update demonstrations/tutorial_classical_shadows.py

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* Update demonstrations/tutorial_classical_shadows.py

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* Update demonstrations/tutorial_classical_shadows.py

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* Update demonstrations/tutorial_classical_shadows.py

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* Changed

* Bullet rendering issue

* print formatting fix

* unblack

* Apply suggestions from code review

* Apply suggestions from code review

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* Explain single clifford ensemble

* Apply suggestions from code review

* Update demonstrations/tutorial_classical_shadows.py

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Co-authored-by: Olivia Di Matteo <2068515+glassnotes@users.noreply.github.com>

* Adding Header Image to Classical Shadows Demo (#284)

* Create tutorial_classical_shadows.py

* first working version for single qubit

* added comments, multiqubit is working

* adding rough intro to tutorial, metadata, and integrating with qml docs

* Formatting the comments

* adding shadow_state() and snapshot_state()

* Update demonstrations/tutorial_classical_shadows.py

Co-authored-by: bdoolittle <brian.d.doolittle@gmail.com>

* adding image and updating introduction

* integrating test code into demo

* adding section headings

* 90 character limit to ensure page is rendered correctly

* Added background to classical shadows

* adding theory portion to state reconstruction section

* small fix on heading

* minor updates to the state reconstruction section

* updating state reconstruction tests

* state reconstruction example

* Wrapped up background

* Restructuring, introducing testing

* Got rid of duplicate information

* quick fixes/rearrangement

* median of means, formatting

* minor fixes

* edits/flow

* Estimating Pauli observables introduction

* adding expected test code-blocks

* fixed math

* Adding final example and shadow bound test

* fix typos

* ran black, added part about pytest, added test output, added random seed

* dots

* adding card image

* fix to meta data

* small typo's

* Update demonstrations/tutorial_classical_shadows.py

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* Update demonstrations/tutorial_classical_shadows.py

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* moving demo to research category

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* fixing broken equation

* removing tests

* changing plot

* Addressing comments pt 1

* Remove type suggestions.

* black

* small fixes, added conclusion

* Changed shadow to two seperate arrays, simplified observable estimator.

* added comments

* small typos

* Make docstrings consistent.

* Fix citations

* Small improvements to text flow

* ran through spellcheck

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* Changed

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* unblack

* Apply suggestions from code review

* Apply suggestions from code review

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* Explain single clifford ensemble

* Apply suggestions from code review

* Update demonstrations/tutorial_classical_shadows.py

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* Update demonstrations/tutorial_classical_shadows.py

* Update demonstrations/tutorial_classical_shadows.py

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* Incorrect energy landscape in QNG demo (#285)

* Add files via upload

Correct energy landscape

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Switched blue and red.

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* Add note about `qsimcirq` warning (#290)

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* Update demonstrations/qsim_beyond_classical.py

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* Requirements

* Fix link and decrease stepsize

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