Logical Randomized Benchmarking

2017/02/13 by Combes, Joshua, Granade, Christopher, Ferrie, Christopher +1 · 8 citations
#FOS: Physical sciences #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.1702.03688

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.

Cited by

• Emergent Non-Markovianity in Logical Qubit Dynamics
• Sdim: A Qudit Stabilizer Simulator
• Software for Creating Scalable Benchmarks from Quantum Algorithms
• Enlarging the GKP stabilizer group for enhanced noise protection
• Blind-spots of Randomized Benchmarking Under Temporal Correlations
• Constructing an approximate logical Markovian model of consecutive QEC cycles of a stabilizer code
• Real-time adaptive quantum error correction by model-free multi-agent learning
• Characterization of syndrome-dependent logical noise in detector regions

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