Constant-Overhead Fault-Tolerant Bell-Pair Distillation Using High-Rate Codes
Creators
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.
Copyright and License
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.
Acknowledgement
We acknowledge helpful discussions with Andi Gu, Senrui Chen, Christopher Pattison, Siyi Yang, Dolev Bluvstein, Nishad Maskara, Marcello Laurel, Rohan Mehta, Patrick Rall, Josiah Sinclair, Nazli Ugur Koyluoglu, and Varun Menon. We acknowledge support from the ARO (Grant No. W911NF-23-1-0077), ARO MURI (Grants No. W911NF-21-1-0325 and No. W911NF-20-1-0082), AFOSR MURI (Grants No. FA9550-19-1-0399, No. FA9550-21-1-0209, and No. FA9550-23-1-0338), DARPA (Grants No. HR0011-24-9-0359 and No. HR0011-24-9-0361), NSF (Grants No. OMA-1936118, No. ERC-1941583, No. OMA-2137642, No. OSI-2326767, No. CCF-2312755, No. PHY-2012023 and No. CCF-2313084), NTT Research, Packard Foundation (Grant No. 2020-71479), the Marshall and Arlene Bennett Family Research Program, IARPA and the ARO, under the Entangled Logical Qubits Program (W911NF-23-2-0219), the Center for Ultracold Atoms (a NSF Physics Frontiers Center, PHY-1734011), and the NSF Center for Quantum networks (Grant No. EEC-1941583). This material is based upon work supported by the U.S. Department of Energy, Office of Science, National Quantum Information Science Research Centers and Advanced Scientific Computing Research (ASCR) Program under Contract No. DE-AC02-06CH11357 as part of the InterQnet quantum networking project. Q. X. is funded in part by the Walter Burke Institute for Theoretical Physics at Caltech. G. B. acknowledges support from the MIT Patrons of Physics Fellows Society.
Data Availability
The data that support the findings of this Letter are not publicly available. The data are available from the authors upon reasonable request.
Supplemental Material
The supplementary file provides additional technical details for interested readers. It includes a more in-depth review of prior work beyond what is covered in the main text, a discussion on the generality of the noise manipulation scheme presented in the main text, a detailed elaboration on the construction of the various codes implemented in our study, and additional numerical results.
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Additional details
Related works
- Is new version of
- Discussion Paper: arXiv:2502.09542 (arXiv)
- Is supplemented by
- Supplemental Material: https://journals.aps.org/prl/supplemental/10.1103/s39k-r2kq/SI.pdf (URL)
Funding
- United States Army Research Office
- W911NF-23-1-0077
- United States Army Research Office
- W911NF-21-1-0325
- United States Army Research Office
- W911NF-20-1-0082
- United States Air Force Office of Scientific Research
- FA9550-19-1-0399
- United States Air Force Office of Scientific Research
- FA9550-21-1-0209
- United States Air Force Office of Scientific Research
- FA9550-23-1-0338
- Defense Advanced Research Projects Agency
- HR0011-24-9-0359
- Defense Advanced Research Projects Agency
- HR0011-24-9-0361
- National Science Foundation
- OMA-1936118
- National Science Foundation
- ERC-1941583
- National Science Foundation
- OMA-2137642
- National Science Foundation
- OSI-2326767
- National Science Foundation
- CCF-2312755
- National Science Foundation
- PHY-2012023
- National Science Foundation
- CCF-2313084
- NTT Research
- David and Lucile Packard Foundation
- 2020-71479
- Marshall and Arlene Bennett Family Research Program
- United States Army Research Office
- W911NF-23-2-0219
- National Science Foundation
- PHY-1734011
- National Science Foundation
- EEC-1941583
- United States Department of Energy
- DE-AC02-06CH11357
- California Institute of Technology
Dates
- Accepted
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2025-08-18