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Logical Randomized Benchmarking
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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.
Forward citations
Cited by 4 Pith papers
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Sdim: A Qudit Stabilizer Simulator
Sdim is the first open-source qudit stabilizer simulator supporting all dimensions, enabling circuit evaluation and sampling for qudit fault-tolerant quantum computing research.
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Co-Designing Error Mitigation and Error Detection for Logical Qubits
Optimized QED intervals plus steady-state extraction enable PEC+QED to deliver 2-11x lower error than PEC alone on Iceberg codes for QAOA.
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Blind-spots of Randomized Benchmarking Under Temporal Correlations
Derives analytic expressions for randomized benchmarking under temporally correlated non-Markovian noise, identifies cases where correlations are invisible to RB, and shows they can affect diamond norm errors.
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Randomized Benchmarking with Synthetic Quantum Circuits
A framework using synthetic circuits improves randomized benchmarking sample efficiency for reducible representations, showing over 100x advantage for SU(2)-symmetric high-spin systems versus character RB.
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