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arXiv · 1308.2928

Investigating the limits of randomized benchmarking protocols

Jeffrey M. Epstein·Andrew W. Cross·Easwar Magesan·Jay M. Gambetta
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Abstract

In this paper, we analyze the performance of randomized benchmarking protocols on gate sets under a variety of realistic error models that include systematic rotations, amplitude damping, leakage to higher levels, and 1/f noise. We find that, in almost all cases, benchmarking provides better than a factor-of-two estimate of average error rate, suggesting that randomized benchmarking protocols are a valuable tool for verification and validation of quantum operations. In addition, we derive new models for fidelity decay curves under certain types of non-Markovian noise models such as 1/f and leakage errors. We also show that, provided the standard error of the fidelity measurements is small, only a small number of trials are required for high confidence estimation of gate errors.

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Jeffrey M. Epstein, Andrew W. Cross, Easwar Magesan, Jay M. Gambetta. 2013-08-13. Investigating the limits of randomized benchmarking protocols. https://doi.org/10.1103/physreva.89.062321

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