Journal article
Argyris Giannisis Manes, Jahan Claes
2023
2023
Semantic Scholar
ArXiv
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APA
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Manes, A. G., & Claes, J. (2023). Distance-preserving stabilizer measurements in hypergraph product codes.
Chicago/Turabian
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Manes, Argyris Giannisis, and Jahan Claes. “Distance-Preserving Stabilizer Measurements in Hypergraph Product Codes” (2023).
MLA
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Manes, Argyris Giannisis, and Jahan Claes. Distance-Preserving Stabilizer Measurements in Hypergraph Product Codes. 2023.
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@article{argyris2023a,
title = {Distance-preserving stabilizer measurements in hypergraph product codes},
year = {2023},
author = {Manes, Argyris Giannisis and Claes, Jahan}
}
Abstract
Unlike the surface code, quantum low-density parity-check (QLDPC) codes can have a finite encoding rate, potentially lowering the error correction overhead. However, finite-rate QLDPC codes have nonlocal stabilizers, making it difficult to design stabilizer measurement circuits that are low-depth and do not decrease the effective distance. Here, we demonstrate that a popular family of finite-rate QLDPC codes, hypergraph product codes, has the convenient property of distance-robustness: any stabilizer measurement circuit preserves the effective distance. In particular, we prove the depth-optimal circuit in [Tremblay et al, PRL 129, 050504 (2022)] is also optimal in terms of effective distance.
