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Syndrome-Derived Error Rates as a Benchmark of Quantum Hardware
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Quantum error correcting codes are designed to pinpoint exactly when and where errors occur in quantum circuits. This feature is the foundation of their primary task: to support fault-tolerant quantum computation. However, this feature could used as the basis of benchmarking: By analyzing the outputs of even small-scale quantum error correction circuits, a detailed picture can be constructed of error processes across a quantum device. Here we perform an example of such an analysis, using the results of small repetition codes to determine the error rate of each qubit while idle during a syndrome measurement. This provides an idea of the errors experienced by the qubits across a device while they are part of the kind of circuit that we expect to be typical in fault-tolerant quantum computers.
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Estimating detector error models from syndrome data
Detector error model probabilities can be recovered from syndrome histories through a Walsh-Hadamard transform, giving a closed-form inverse for individual and aggregated DEM events.
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