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• W3204653979 abstract "Quantum low density parity check (LDPC) codes may provide a path to build low-overhead fault-tolerant quantum computers. However, as general LDPC codes lack geometric constraints, na{i}ve layouts couple many distant qubits with crossing connections which could be hard to build in hardware and could result in performance-degrading crosstalk. We propose a 2D layout for quantum LDPC codes by decomposing their Tanner graphs into a small number of planar layers. Each layer contains long-range connections which do not cross. For any Calderbank-Shor-Steane code with a degree-$ensuremath{delta}$ Tanner graph, we design stabilizer measurement circuits with depth at most ($2ensuremath{delta}+2$) using at most $ensuremath{lceil}ensuremath{delta}/2ensuremath{rceil}$ layers. We observe a circuit-noise threshold of 0.28% for a positive-rate code family using 49 physical qubits per logical qubit. For a physical error rate of ${10}^{ensuremath{-}4}$, this family reaches a logical error rate of ${10}^{ensuremath{-}15}$ using fourteen times fewer physical qubits than the surface code." @default.
• W3204653979 created "2021-10-11" @default.
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• W3204653979 date "2022-07-28" @default.
• W3204653979 modified "2023-10-01" @default.
• W3204653979 title "Constant-Overhead Quantum Error Correction with Thin Planar Connectivity" @default.
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• W3204653979 doi "https://doi.org/10.1103/physrevlett.129.050504" @default.
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• W3204653979 hasPublicationYear "2022" @default.
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