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Performance of quantum error correction with coherent errors

Thursday May 9, 2019
3:30 pm

 Presenter:  Andrew Doherty, University of Sydney
 Series:  CQuIC Seminars
 Abstract:  A lot of recent studies have emphasized the need to better understand the effect of unitary errors on quantum computing. Specifically, randomized benchmarking, which roughly measures the average fidelity error, may underestimate the impact of unitary errors. This is because fault tolerance thresholds are typically expressed in terms of better behaved error metrics such as the diamond norm, and unitary errors can appear much larger when measured in this way.

This has motivated us to look carefully at the performance of error correction when errors are unitary. We study the effective error after ideal correction for a range of error correcting codes, and also obtain bounds that apply to all stabiliser codes. Broadly speaking, when errors are measured in terms of the diamond norm, we find that the error correction is typically much more effective for unitary errors than for dephasing. For certain codes this effect can be so large that the average fidelity error at the physical level is a good predictor of the error after correction for any combination of dephasing and unitary errors.
 Host:  Carlton Caves
 Location:  Room 190, Physics & Astronomy

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