Fault-tolerant thresholds for quantum error correction with the surface code

By A. Stephens. 2013

136 citations recorded by the source corpus.

The surface code is a promising candidate for fault-tolerant quantum computation, achieving a high threshold error rate with nearest-neighbor gates in two spatial dimensions. Here, through a series of numerical simulations, we investigate how the precise value of the threshold depends on the noise model, measurement circuits, and decoding algorithm. We observe thresholds between 0.502(1)% and 1.140(1)% per gate, values which are generally lower than previous estimates.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/30e914527cb34e5dd19012e25ed7e014b88b630a

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In Artificial Intelligence

In Atomic and Molecular Physics, and Optics

Citations in the corpus

The XZZX surface code (2020, methodology): “We also remark that 316 hook errors [40, 41] are low-rate events with this circuit 317 as the control qubit of entangling gates commutes with 318 the high-rate Pauli-Z errors, and so high-rate errors are 319”
Low-distance Surface Codes under Realistic Quantum Noise (2014, background): “Figure 2 shows the standard quantum circuit for measuring the stabilizers [1, 9], where data qubit b corresponds to the top (north) qubit and c corresponds to the bottom (south) qubit of each diamond patch in Fig.”
Quantum error correction below the surface code threshold (2024, unknown): “We note that the threshold is much better behaved when reporting the error rate per d rounds [30], which is relevant to the logical operation of the surface code.”