Shelly Garion

Improve LinearFunction synthesis

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### What should we add? Improving [LinearFunction](https://qiskit.org/documentation/stubs/qiskit.circuit.library.LinearFunction.html#qiskit.circuit.library.LinearFunction) synthesis. Currently, it may happen that after the synthesis one gets a circuit with more CX gates than before the synthesis. Here is...

### What should we add? The `CCZ` gate is locally equivalent (up to 1-qubit gates) to the [CCXGate](https://qiskit.org/documentation/stubs/qiskit.circuit.library.CCXGate.html#qiskit.circuit.library.CCXGate) (Toffoli gate). The `CS` gate is locally equivalent (up to 1-qubit gates)...

### Informations test_qv_fitter statistically failing in the automatic tests: https://github.com/Qiskit/qiskit-ignis/runs/1257433012 - **Qiskit Ignis version**: - **Python version**: - **Operating system**: ### What is the current behavior? ``` test.quantum_volume.test_qv.TestQV.test_qv_fitter ------------------------------------------------- Captured...

Missing tutorials and documentation for ignis

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It seems that some of ignis tutorials were removed from: https://github.com/Qiskit/qiskit-tutorials/tree/master/tutorials/noise and should be replaced by new tutorials or enhanced API documentation. Some of them still appear here: https://github.com/Qiskit/qiskit-tutorials/tree/master/legacy_tutorials/ignis This...

### What is the expected behavior? Characterization of leakage errors according to: Christopher J. Wood, Jay M. Gambetta, _Quantification and Characterization of Leakage Errors_, https://arxiv.org/abs/1704.03081 The RB sequences are generated...

Correlated Randomized Benchmarking

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### What is the expected behavior? David C. McKay, Andrew W. Cross, Christopher J. Wood, Jay M. Gambetta, **Correlated Randomized Benchmarking**, https://arxiv.org/abs/2003.02354

[WIP] improve LinearFunction synthesis

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### Summary close #8519 ### Details and comments - [x] move `graysynth.py` from `qiskit.transpiler` to `qiskit.synthesis.linear` - [x] move `test_synthesis.py` from `test/python/transpiler`- where? - [x] add a function that tries...

Port the `Clifford` and `StabilizerState` classes to Rust

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### What should we add? This would have two benefits over the current Python code: - It may make the move of the relevant synthesis code more efficient (see issues...

Transfer to rust binary matrices utils from: https://github.com/Qiskit/qiskit/blob/main/qiskit/synthesis/linear/linear_matrix_utils.py. This is needed for many linear functions and clifford synthesis methods: #12238 #12237 #12228 #12242 #12231

Bayesian techniques for Randomized Benchmarking

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# Description Enhance the current [Randomized Benchmarking experiments](https://github.com/Qiskit/qiskit-ignis/tree/master/qiskit/ignis/verification/randomized_benchmarking) in Qiskit-Ignis with advanced statistical and Bayesian techniques, based on the following papers: 1. [Bayesian Inference for Randomized Benchmarking Protocols](https://arxiv.org/abs/1802.00401) 2. [Statistical...