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Yoked surface codes

delete2025-05-14
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OA
AI
C
Craig Gidney
M
Michael Newman
P
Peter Brooks
C
Cody Jones
DOI:10.1038/s41467-025-59714-1delete
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Abstract

Abstract

En 中文
<jats:title>Abstract</jats:title> <jats:p>One of the biggest obstacles to building a large scale quantum computer is the high qubit cost of protecting quantum information. For two-dimensional architectures, the surface code has long been the leading candidate quantum memory, but can require upwards of a thousand physical qubits per logical qubit to reach algorithmically-relevant logical error rates. In this work, we introduce a hierarchical memory formed from surface codes concatenated into high-density parity check codes. These yoked surface codes are arrayed in a rectangular grid, with parity checks (yokes) measured along each row, and optionally along each column, using lattice surgery. Our construction assumes no additional connectivity beyond a nearest-neighbor square qubit grid operating at a physical error rate of 10<jats:sup>−3</jats:sup>. At algorithmically-relevant logical error rates, yoked surface codes use as few as one-third the number of physical qubits per logical qubit as standard surface codes, enabling moderate-overhead fault-tolerant quantum memories in two dimensions.</jats:p>

Journal

Nature Communications cover
Nature Communications
IF:
15.7
Papers:
9.2W
Citations:
91.2W

Organization

G
google quantum ai
Scholars:
520
Papers: 11
Citations: 10
G
Google
Scholars:
245
Papers: 96
Citations: 4