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Q# libraries for the Quantum Development Kit

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After the [SparseSimulator is added](https://github.com/microsoft/qsharp-runtime/pull/918), consider adding to the `QuantumLibraries` the support for the SparseSimulator. In particular * In [Standard/src/Diagnostics/Emulation/Internal.cs](https://github.com/microsoft/QuantumLibraries/blob/main/Standard/src/Diagnostics/Emulation/Internal.cs) consider replacing all the occurrences of `QuantumSimulator` with [`CommonNativeSimulator`](https://github.com/microsoft/qsharp-runtime/tree/main/src/Simulation/Simulators/CommonNativeSimulator) -...

Kind-Enhancement
Pkg-Standard
Area-API

**Describe the bug** Controlled or adjoint version of `DumpOperation` prints a state that looks like a `DumpMachine` output of a state which looks like the Choi–Jamiołkowski state for the given...

Kind-Bug
Hacktoberfest

Looking for some clarification into the implementation of the Jordan Wigner transform in Q#. https://github.com/microsoft/QuantumLibraries/blob/6899af4bf7444bd9d0f56098427acc128be20e06/Chemistry/src/DataModel/Fermion/JordanWignerEncoding.cs#L148-L169 Here, we have only one of the h^(1), h^(2), h^(3) terms associated with a coefficient....

Kind-Bug
Area-Documentation
Pkg-Chemistry

The function `Microsoft.Quantum.Preparation._CompileApproximateArbitraryStatePreparation` does not adhere to current design principles, and thus has not been exposed for public use. Currently, this function cannot be converted to use the new `internal`...

Kind-Bug
Pkg-Standard

**Describe the bug** The signatures of different facts and assertions are not consistent with respect to supporting `message : String` inputs. For example: ```Q# // No message input. function NearEqualityFactD(actual...

Pkg-Standard
Status-NeedsApiReview
Area-API

**Is your feature request related to a problem? Please describe.** Currently Broombridge schema only support the restricted wave function reference, which limits its application to closed-shell molecules only. We should...

Kind-Enhancement
Pkg-Chemistry

I have found: 1. an archived repo https://github.com/microsoft/MLADS2018-QuantumML, but it is outdated. 2. https://github.com/microsoft/Quantum/tree/main/samples/machine-learningm but I am looking for a more advanced one. Is there any sample for Deep learning?

Kind-Enhancement
Pkg-QML

**Feature Request** Quantum State Tomography module (and similar Quantum Characterisation, Verification, and Validation modules). **Functionality** - generate random states according to a variety of distributions - specify POVM measurement sets...

Kind-Enhancement

# Simple and consistent arithmetic API ## Abstract and conceptual overview The proposal introduces * simple names for common arithmetic operations * additional operations where currently only one is available...

Kind-Enhancement
Pkg-Standard
Pkg-Numerics
Status-NeedsApiReview
Area-API

**Describe the bug** Passing an invalid model to ApplySequentialClassifier can causes unexpected and inconsistent behaviors: * If the index of the target qubit or one of the control qubits used...

Kind-Bug
Status-NeedsApiReview
Pkg-QML