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Theory of mirror benchmarking and demonstration on a quantum computer

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arxiv 2108.10431 v2 pith:B5NMQ7YR submitted 2021-08-23 quant-ph

Theory of mirror benchmarking and demonstration on a quantum computer

classification quant-ph
keywords benchmarkingmirrorcircuitsdatadecayfunctionnoiseperformance
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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A new class of protocols called mirror benchmarking was recently proposed to measure the system-level performance of quantum computers. These protocols involve circuits with random sequences of gates followed by mirroring, that is, inverting each gate in the sequence. We give a simple proof that mirror benchmarking leads to an exponential decay of the survival probability with sequence length, under the uniform noise assumption, provided the twirling group forms a 2-design. The decay rate is determined by a quantity that is a quadratic function of the error channel, and for certain types of errors is equal to the unitarity. This result yields a new method for estimating the coherence of noise. We present data from mirror benchmarking experiments run on the Honeywell System Model H1. This data constitutes a set of performance curves, indicating the success probability for random circuits as a function of qubit number and circuit depth.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Sampling hard circuits with verifiably high fidelity

    quant-ph 2026-07 conditional novelty 8.0

    A 97-qubit experiment certifies a 0.284 fidelity lower bound for a 468-T-gate sampling circuit by combining spacetime-code error detection with the measured fidelity of an undoped Clifford reference.

  2. Helios: A 98-qubit trapped-ion quantum computer

    quant-ph 2025-11 accept novelty 7.0

    Helios achieves 98 qubits with single-qubit gate infidelity 2.5(1)×10^{-5}, two-qubit 7.9(2)×10^{-4}, and SPAM 4.8(6)×10^{-4}, enabling circuits beyond classical simulation.

  3. Benchmarking quantum devices beyond classical capabilities

    quant-ph 2025-02 unverdicted novelty 6.0

    Modified Quantum Volume test uses restricted universal circuits to directly determine heavy outputs without exponential classical simulation cost.