Randomised Benchmarking: Difference between revisions

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==Functionality Description==
==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.
Randomized benchmarking refers to a collection of methods that aim to reliably estimating the magnitude of an average error of a quantum gate set in a robust fashion against state preparation and measurement error. One key [[figure of merit]] here is average gate fidelity. It achieves this goal by applying sequences of feasible quantum gates of varying length, so that small errors are amplified leading to reliable estimation.


==Protocols==
==Protocols==

Revision as of 12:24, 20 November 2019

Functionality Description

Randomized benchmarking refers to a collection of methods that aim to reliably estimating the magnitude of an average error of a quantum gate set in a robust fashion against state preparation and measurement error. One key figure of merit here is average gate fidelity. It achieves this goal by applying sequences of feasible quantum gates of varying length, so that small errors are amplified leading to reliable estimation.

Protocols

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