Extrapolating physical error rates to logical error rates requires many assumptions and thus can radically under- or overestimate the performance of an error correction implementation. We introduce logical randomized benchmarking, a characterization procedure that directly assesses the performance of a quantum error correction implementation at the logical level, and is motivated by a reduction to the well-studied case of physical randomized benchmarking. We show that our method reliably reports logical performance and can estimate the average probability of correctable and uncorrectable errors for a given code and physical channel.
@article{arxiv.1702.03688,
title = {Logical Randomized Benchmarking},
author = {Joshua Combes and Christopher Granade and Christopher Ferrie and Steven T. Flammia},
journal= {arXiv preprint arXiv:1702.03688},
year = {2017}
}
Comments
9 pages, 3 figures, and an appendix with plenty of quantum circuits