Noise Estimation via Randomization

Physics – Quantum Physics

Scientific paper

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19 pages, no figures

Scientific paper

10.1103/PhysRevA.85.042311

We describe and expand upon the scalable randomized benchmarking protocol proposed in Phys. Rev. Lett. 106, 180504 (2011) which provides a method for benchmarking quantum gates and estimating the gate-dependence of the noise. The protocol allows the noise to be both time and gate-dependent, and takes into account state preparation and measurement errors. We give a rigorous analysis of the conditions for the validity of the protocol in terms of the average variation of the noise and provide a complete proof of the scalability of the protocol. We also establish a connection in special cases between the error rate provided by this protocol and the error strength measured using the diamond norm distance.

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