…ft/QuantumLibraries into cgranade/broombridge-0.3

* Fix formulas in PurifiedMixedState(WithData)

This fixes #485.

* Update NuGet version.

Co-authored-by: Mathias Soeken <mathias.soeken@outlook.com>

* Optimization and formatting.

* Use array API.

* Fix errors and add comments with refs to paper.

* Add corner case in conversion of rotation phases.

* Add test case.

Co-authored-by: Chris Granade <chgranad@microsoft.com>
Co-authored-by: Mathias Soeken <mathias.soeken@microsoft.com>

Fixes #538.

* Fixes #444.

* Add other test.

* Update Standard/tests/QcvvTests.qs

Co-authored-by: Mariia Mykhailova <mamykhai@microsoft.com>

Co-authored-by: Mariia Mykhailova <mamykhai@microsoft.com>

With this change, we're migrating the main release train of the QDK to the most recent Long Time Support version of the .NET framework. For details about this change, refer to the original issue microsoft/qsharp-compiler#1224.

As part of this change, we're:

- Re-targeting all .NetCoreApp3.1 binaries to .NET6.0
- Updating Docker images, samples and templates.
- Libraries using .NetStandard2.1 are not affected by this change.
- The minimum supported .NET version in the QDK will also be updated from 3.1 to 6.0
- The Visual Studio extension will now target Visual Studio 2022.

* Fixes #367.

* Apply suggestions from code review

Co-authored-by: Mariia Mykhailova <mamykhai@microsoft.com>

* Addressing Mariia's comments.

Co-authored-by: Mariia Mykhailova <mamykhai@microsoft.com>

* Improve code quality.

* Update MachineLearning/tests/StructureTests.qs

Co-authored-by: Cassandra Granade <chgranad@microsoft.com>

Co-authored-by: Cassandra Granade <chgranad@microsoft.com>

Fixes #467.

* Build 0.24.201332.
* Fixing QDK version in Notice.txt

Co-authored-by: Mathias Soeken <mathias.soeken@microsoft.com>

* API review meeting notes.

* Update Design/meetings/2022/api-design-2022-03.md

Co-authored-by: Mariia Mykhailova <mamykhai@microsoft.com>

* Apply suggestions from code review

* Update consensus.

Co-authored-by: Mariia Mykhailova <mamykhai@microsoft.com>

* Implements #442.

* Address reviewer feedback.

* Fixes #560.

* Apply suggestions from code review

Co-authored-by: Cassandra Granade <chgranad@microsoft.com>

Co-authored-by: Cassandra Granade <chgranad@microsoft.com>

… number (#565)

Co-authored-by: Mariia Mykhailova <mamykhai@microsoft.com>

* Implements #465.

* Code refactoring.

* Fix recursion error.

* Adress reviewer comments.

* API review April 2022

* Apply suggestions from code review

Co-authored-by: Mariia Mykhailova <mamykhai@microsoft.com>

* Update api-design-2022-04.md

* Update api-design-2022-04.md

Co-authored-by: Mariia Mykhailova <mamykhai@microsoft.com>

* Implements #555.

* Apply suggestions from code review

Co-authored-by: Mariia Mykhailova <mamykhai@microsoft.com>

* Change order of arguments.

Co-authored-by: Mariia Mykhailova <mamykhai@microsoft.com>

* Implements #559.

* Apply suggestions from code review

Co-authored-by: Mariia Mykhailova <mamykhai@microsoft.com>

* Use new UDT fields.

Co-authored-by: Mariia Mykhailova <mamykhai@microsoft.com>

* Fixes #570. (#572)

* Fixes #571. (#573)

* Add DevSkim scanning (#576)

* Examples in fixed-point conversion functions.

* API review April 2022 (#561)

* API review April 2022

* Apply suggestions from code review

Co-authored-by: Mariia Mykhailova <mamykhai@microsoft.com>

* Update api-design-2022-04.md

* Update api-design-2022-04.md

Co-authored-by: Mariia Mykhailova <mamykhai@microsoft.com>

* Fixes #580. (#581)

* Address reviewer's feedback.

Co-authored-by: Angela Burton <anjbur@users.noreply.github.com>
Co-authored-by: Mariia Mykhailova <mamykhai@microsoft.com>

Co-authored-by: microsoft-github-policy-service[bot] <77245923+microsoft-github-policy-service[bot]@users.noreply.github.com>

* API review May 2022

* Apply suggestions from code review

Co-authored-by: Cassandra Granade <chgranad@microsoft.com>

* Apply suggestions from code review

* Update api-design-2022-05.md

Co-authored-by: Cassandra Granade <chgranad@microsoft.com>

* Resource estimation tests.

* Improved implementation.

* Ergonomic changes.

* API review June 2022

* Apply suggestions from code review

Co-authored-by: Mariia Mykhailova <mamykhai@microsoft.com>

* Apply suggestions from code review

Co-authored-by: Cassandra Granade <chgranad@microsoft.com>

* Apply suggestions from code review

Co-authored-by: Mariia Mykhailova <mamykhai@microsoft.com>
Co-authored-by: Cassandra Granade <chgranad@microsoft.com>

* Add functions for smallest and largest representable fixed point

Implements #594

* New line.

* Apply suggestions from code review

Co-authored-by: Mariia Mykhailova <mamykhai@microsoft.com>

Co-authored-by: Mariia Mykhailova <mamykhai@microsoft.com>

* Add ApplyWindowed operation

Applies an operation windowing over input but with const target qubits

* Simplify ApplyWindowed

* Update ApplyWindowed to be more idiomatic

See comment on #602 by @cgranade

* Fix documentation style issues for ApplyWindowed

* Improve ApplyWindowed documentation and add example

* Change name of ApplyWindowed to ApplyToEachWindow

* Fix example being in code block

Co-authored-by: Mariia Mykhailova <michaylova@gmail.com>

Co-authored-by: Mathias Soeken <mathias.soeken@microsoft.com>
Co-authored-by: Mariia Mykhailova <michaylova@gmail.com>

* API review July 2022

* Apply suggestions from code review

Co-authored-by: Mariia Mykhailova <mamykhai@microsoft.com>

* Apply suggestions from code review

* Apply suggestions from code review

* Update api-design-2022-07.md

* Update api-design-2022-07.md

Co-authored-by: Mariia Mykhailova <mamykhai@microsoft.com>

* lookup table code

* Update Numerics/tests/LookupTableTests.qs

Co-authored-by: Mathias Soeken <mathias.soeken@gmail.com>

* Update Numerics/src/FixedPoint/LookupTable.qs

Co-authored-by: Mathias Soeken <mathias.soeken@gmail.com>

* Update Numerics/src/FixedPoint/LookupTable.qs

Co-authored-by: Mathias Soeken <mathias.soeken@gmail.com>

* Update Numerics/src/FixedPoint/LookupTable.qs

Co-authored-by: Mathias Soeken <mathias.soeken@gmail.com>

* Update Numerics/tests/LookupTableTests.qs

Co-authored-by: Mathias Soeken <mathias.soeken@gmail.com>

* Update Numerics/tests/LookupTableTests.qs

Co-authored-by: Mathias Soeken <mathias.soeken@gmail.com>

* Update Numerics/tests/LookupTableTests.qs

Co-authored-by: Mathias Soeken <mathias.soeken@gmail.com>

* Update Numerics/src/FixedPoint/LookupTable.qs

Co-authored-by: Mathias Soeken <mathias.soeken@gmail.com>

* Update Numerics/src/FixedPoint/LookupTable.qs

Co-authored-by: Mathias Soeken <mathias.soeken@gmail.com>

* Update Numerics/src/FixedPoint/LookupTable.qs

Co-authored-by: Mathias Soeken <mathias.soeken@gmail.com>

* Update Numerics/tests/LookupTableTests.qs

Co-authored-by: Mathias Soeken <mathias.soeken@gmail.com>

* Moved potential efficiency comments

Moved potential efficiency comments of fanning out control qubits from summary to inside the code

* Split summary into summary and remarks

Split original summary to summary and remarks

* Added latex formatting

* Update Numerics/src/FixedPoint/LookupTable.qs

* Update Numerics/tests/LookupTableTests.qs

Co-authored-by: Krishnakumar, Rajiv [Engineering] <rajiv.krishnakumar@ny.email.gs.com>
Co-authored-by: Mathias Soeken <mathias.soeken@gmail.com>
Co-authored-by: Mathias Soeken <mathias.soeken@microsoft.com>

* Fix documentation

* Temporarily disable test not compatible with 0.3.

Co-authored-by: Cassandra Granade <chgranad@microsoft.com>
Co-authored-by: Mathias Soeken <mathias.soeken@microsoft.com>

* Add `$schema` to `cgmanifest.json`

* Temporarily disable test not compatible with 0.3.

Co-authored-by: Jamie Magee <jamie.magee@microsoft.com>
Co-authored-by: Cassandra Granade <chgranad@microsoft.com>
Co-authored-by: Mathias Soeken <mathias.soeken@microsoft.com>

…efactor.

Fixes #622

Co-authored-by: Dmitry Vasilevsky <dmitryv@microsoft.com>

* Added example how to use PrepareArbitraryStateCP

* Update Standard/src/Preparation/Arbitrary.qs

Co-authored-by: Mathias Soeken <mathias.soeken@gmail.com>

Co-authored-by: Mathias Soeken <mathias.soeken@gmail.com>

* Fix fourfold symmetry bugs

* Add unit test

* Update datamodel tests for v0.3