Randomized benchmarking with confidence

Randomized benchmarking is a promising tool for characterizing the noise in experimental implementations of quantum systems. In this paper, we prove that the estimates produced by randomized benchmarking (both standard and interleaved) for arbitrary Markovian noise sources are remarkably precise by...

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Bibliographic Details
Published in:New journal of physics 2014-10, Vol.16 (10), p.103032-34
Main Authors: Wallman, Joel J, Flammia, Steven T
Format: Article
Language:English
Subjects:
Benchmarking
Benchmarks
Confidence
Confidence intervals
Gates
Magnetic fields
Magnetic properties
Markov processes
Noise
Physics
quantum information
quantum noise
Randomization
randomized benchmarking
Sampling
Sequences
Time dependence
Variation
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Summary:Randomized benchmarking is a promising tool for characterizing the noise in experimental implementations of quantum systems. In this paper, we prove that the estimates produced by randomized benchmarking (both standard and interleaved) for arbitrary Markovian noise sources are remarkably precise by showing that the variance due to sampling random gate sequences is small. We discuss how to choose experimental parameters, in particular the number and lengths of random sequences, in order to characterize average gate errors with rigorous confidence bounds. We also show that randomized benchmarking can be used to reliably characterize time-dependent Markovian noise (e.g., when noise is due to a magnetic field with fluctuating strength). Moreover, we identify a necessary property for time-dependent noise that is violated by some sources of non-Markovian noise, which provides a test for non-Markovianity.
ISSN:1367-2630
1367-2630
DOI:10.1088/1367-2630/16/10/103032