ArticleNature communications2021
The XZZX surface code.
Article in Nature communications, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 26 papers.
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Who cites it
26 citing papers in PubMed.
- Quantum benchmarking of high-fidelity noise-biased operations on a detuned Kerr-cat qubit.Proceedings of the National Academy of Sciences of the United States of America · 2026Article
- Demonstration of measurement-free universal logical quantum computation.Nature communications · 2026Article
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- Enhancing the yield of bucket brigade quantum random access memory using redundancy repair.Scientific reports · 2025Article
- Determining the Upper-Bound on the Code Distance of Quantum Stabilizer Codes Through the Monte Carlo Method Based on Fully Decoupled Belief Propagation.Entropy (Basel, Switzerland) · 2025Article
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- Benchmarking Quantum Gates and Circuits.Chemical reviews · 2025Review
- New design of three-qubit system with three transmons and a single fixed-frequency resonator coupler.Scientific reports · 2025Article
- Wavelet correlation noise analysis for qubit operation variable time series.Scientific reports · 2025Article
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- High-rate quantum LDPC codes for long-range-connected neutral atom registers.Nature communications · 2025Article
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- Emergent (2+1)D topological orders from iterative (1+1)D gauging.Nature communications · 2024Article
- Quantum error-correction using humming sparrow optimization based self-adaptive deep cnn noise correction module.Scientific reports · 2024Article
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- Dual-rail encoding with superconducting cavities.Proceedings of the National Academy of Sciences of the United States of America · 2023Article
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Authors and funding
5 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Performing large calculations with a quantum computer will likely require a fault-tolerant architecture based on quantum error-correcting codes. The challenge is to design practical quantum error-correcting codes that perform well against realistic noise using modest resources. Here we show that a variant of the surface code-the XZZX code-offers remarkable performance for fault-tolerant quantum computation. The error threshold of this code matches what can be achieved with random codes (hashing) for every single-qubit Pauli noise channel; it is the first explicit code shown to have this universal property. We present numerical evidence that the threshold even exceeds this hashing bound for an experimentally relevant range of noise parameters. Focusing on the common situation where qubit dephasing is the dominant noise, we show that this code has a practical, high-performance decoder and surpasses all previously known thresholds in the realistic setting where syndrome measurements are unreliable. We go on to demonstrate the favourable sub-threshold resource scaling that can be obtained by specialising a code to exploit structure in the noise. We show that it is possible to maintain all of these advantages when we perform fault-tolerant quantum computation.
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