Randomised Benchmarking

Functionality Description

Randomized benchmarking is the certification technique which is used to find the average error rate and the average fidelity of a noisy quantum circuit. Here, the error probability per gate is determined in computational context and the overall average fidelity of the noise in the gates is calculated. The figure of merit in this case is thus the average gate fidelity and the average error rate. The computationally relevant errors are yielded in these protocols without relying on accurate quantum state preparation and measurement.

Protocols

• Standard Randomised Benchmarking
• Interleaved Randomised Benchmarking
• Purity Benchmarking

Properties

• The noise model is assumed to be IID.
• This method is insensitive to the SPAM errors
• The figure of merit is average error rate, average fidelity of a noise quantum circuit.
• This method is a certification technique which has lower sample and resource complexity than Tomography

Related Papers

• E.Knill et al (2007) arXiv:0707.0963: gate and time-independent noise model
• E. Mageson et al (2011) arXiv:1009.3639: multi-parameter model
• Magesan et al. PRL (2012): Interleaved Randomized Benchmarking
• Harper et al (2016) arXiv:1608.02943v2: Interleaved Randomised Benchmarking to estimate fidelity of T gates
• Wallman, Granade, Harper, F., NJP 2015: Purity benchmarking

*contributed by Rhea Parekh