Syndrome-Derived Error Rates as a Benchmark of Quantum Hardware

Wootton, James R.

doi:10.48550/arxiv.2207.00553

Cited by 2 publications

(4 citation statements)

References 18 publications

(22 reference statements)

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“…We can analyse the commonly occurring errors in fault-tolerant circuits using syndrome outcomes to infer the events that are likely to have caused them 32 . This is done using the method detailed in the 2a is implemented using either real-time feedforward (FF) or post-selection (PS).…”

Section: Resultsmentioning

confidence: 99%

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Encoding a magic state with beyond break-even fidelity

Gupta,

Sundaresan,

Alexander

et al. 2024

Nature

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To run large-scale algorithms on a quantum computer, error-correcting codes must be able to perform a fundamental set of operations, called logic gates, while isolating the encoded information from noise1–8. We can complete a universal set of logic gates by producing special resources called magic states9–11. It is therefore important to produce high-fidelity magic states to conduct algorithms while introducing a minimal amount of noise to the computation. Here we propose and implement a scheme to prepare a magic state on a superconducting qubit array using error correction. We find that our scheme produces better magic states than those that can be prepared using the individual qubits of the device. This demonstrates a fundamental principle of fault-tolerant quantum computing12, namely, that we can use error correction to improve the quality of logic gates with noisy qubits. Moreover, we show that the yield of magic states can be increased using adaptive circuits, in which the circuit elements are changed depending on the outcome of mid-circuit measurements. This demonstrates an essential capability needed for many error-correction subroutines. We believe that our prototype will be invaluable in the future as it can reduce the number of physical qubits needed to produce high-fidelity magic states in large-scale quantum-computing architectures.

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Section: Resultsmentioning

confidence: 99%

“…This is the number of unique errors that gives rise to the same error signature. With this information, we can then analyse the syndrome outcomes from experimental data, looking for these signatures and determining the probabilities with which they occur 32 .…”

Section: Analysis In Terms Of Single-gate Errorsmentioning

confidence: 99%

Encoding a magic state with beyond break-even fidelity

Gupta,

Sundaresan,

Alexander

et al. 2024

Nature

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“…Syndrome information is designed to allow us to pinpoint when and where errors occur on a shot-by-shot basis. However, this also allows a powerful analysis of errors when we have many samples of syndrome information: we can determine the probabilities of different kinds of errors at different points within the circuit [16]. By doing so we can see exactly what noise is experienced by the qubits while implementing the code.…”

Section: Microscopic Diagnosticsmentioning

confidence: 99%

“…4. The syndrome should also be analyzed to assess performance at the level of qubits and gates, using existing techniques for weight calculations of the decoding graph [15][16][17].…”

Section: Introductionmentioning

confidence: 99%

Enhanced repetition codes for the cross-platform comparison of progress towards fault-tolerance

Liepelt,

Peduzzi,

Wootton

2024

J. Phys. A: Math. Theor.

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Achieving fault-tolerance will require a strong relationship between the hardware and the protocols used. Different approaches will therefore naturally have tailored proof-of-principle experiments to benchmark progress. Nevertheless, repetition codes have become a commonly used basis of experiments that allow cross-platform comparisons. Here we propose methods by which repetition code experiments can be expanded and improved, while retaining cross-platform compatibility. We also consider novel methods of analyzing the results, which offer more detailed insights than simple calculation of the logical error rate.

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Syndrome-Derived Error Rates as a Benchmark of Quantum Hardware

Cited by 2 publications

References 18 publications

Encoding a magic state with beyond break-even fidelity

Encoding a magic state with beyond break-even fidelity

Enhanced repetition codes for the cross-platform comparison of progress towards fault-tolerance

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