Bayesian techniques for Randomized Benchmarking

[ShellyGarion]

Description

Enhance the current Randomized Benchmarking experiments in Qiskit-Ignis with advanced statistical and Bayesian techniques, based on the following papers:

1. Bayesian Inference for Randomized Benchmarking Protocols

2. Statistical analysis of randomized benchmarking

3. Accelerated randomized benchmarking

Mentor/s

Shelly Garion (@ShellyGarion), Research Staff Member at IBM Research Haifa, Qiskit Ignis core developer.

Type of participant

Knowledge in statistical and Bayesian methods

Number of participants

1 - 2

Deliverable

A pull request with these advanced methods merged into Qiskit-Ignis Randomized Benchmarking code

[HuangJunye]

@pdc-quantum @shesha-raghunathan Can you comment on this issue so that I can assign you? Please also work with your mentor to refine the project, define scope and deliverables and update the project description in this issue.

[pdc-quantum]

“See” you Monday!

[shesha-raghunathan]

@HuangJunye Have had a meeting with @ShellyGarion.

[ShellyGarion]

Plan:

1. Open a PR in qiskit-ignis or qiskit-experiments with a Jupyter notebook describing Bayesian inference for standard 2-qubit RB
2. Further explore Bayesian methods for interleaved RB with interrelated CX gate, as described in Accelerated RB paper - compare the error with the reported CX error of the device
3. Perform an RB experiment on a noisy simulator and quantum hardware, to demonstrate the Bayesian methods