Logical Randomized Benchmarking

TL;DR

Logical randomized benchmarking is a new method that directly measures the performance of quantum error correction at the logical level, providing more accurate assessments than traditional physical error rate extrapolations.

Contribution

It introduces a logical benchmarking procedure that reduces to physical randomized benchmarking, enabling direct and reliable evaluation of logical error correction performance.

Findings

Reliable reporting of logical performance

Estimation of correctable and uncorrectable error probabilities

Reduces assumptions compared to traditional methods

Abstract

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.

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