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Constant-Overhead Fault-Tolerant Bell-Pair Distillation Using High-Rate Codes

J. Pablo Bonilla Ataides1,*, Hengyun Zhou2, Qian Xu3,4, Gefen Baranes1,5, Bikun Li6, Mikhail D. Lukin1,†, and Liang Jiang6,‡

  • *Contact author: jbonillaataides@g.harvard.edu
  • †Contact author: lukin@physics.harvard.edu
  • ‡Contact author: liang.jiang@uchicago.edu
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Phys. Rev. Lett. 135, 130804 – Published 25 September, 2025

DOI: https://doi.org/10.1103/s39k-r2kq

Abstract

We present a fault-tolerant Bell-pair distillation scheme achieving constant overhead through high-rate quantum low-density parity-check (qLDPC) codes. Our approach maintains a constant distillation rate equal to the code rate while requiring no additional overhead beyond the physical qubits of the code. Full circuit-level analysis demonstrates fault-tolerance for input Bell-pair infidelities below a threshold ∼10%, readily achievable with near-term capabilities. Unlike previous proposals, our scheme keeps the output Bell pairs encoded in qLDPC codes at each node, eliminating unencoding overhead and enabling direct use in distributed quantum applications through recent advances in qLDPC computation. These results establish qLDPC-based distillation as a practical route toward resource-efficient quantum networks and distributed quantum computing.

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See Also

Measurement-Based Entanglement Distillation and Constant-Rate Quantum Repeaters over Arbitrary Distances

Yu Shi, Ashlesha Patil, and Saikat Guha
Phys. Rev. Lett. 135, 130803 (2025)

Article Text

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Outline

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Phys. Rev. Lett. 135, 130804– Published 25 September, 2025
  • Received 26 February 2025
  • Accepted 18 August 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.

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