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

J Pablo Bonilla Ataides1, Hengyun Zhou2, Qian Xu3,4

  • 1Harvard University, Department of Physics, Cambridge, Massachusetts 02138, USA.

Physical Review Letters
|October 12, 2025
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Summary
This summary is machine-generated.

We developed a fault-tolerant Bell-pair distillation scheme using quantum low-density parity-check (qLDPC) codes. This method achieves constant overhead and high distillation rates, enabling efficient quantum networks and computing.

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Area of Science:

  • Quantum Information Science
  • Quantum Error Correction
  • Quantum Computing

Background:

  • Bell-pair distillation is crucial for quantum communication and computation.
  • Previous methods often incur significant overhead or complexity.
  • Near-term quantum devices require efficient and fault-tolerant protocols.

Purpose of the Study:

  • To present a novel fault-tolerant Bell-pair distillation scheme.
  • To achieve constant overhead and high distillation rates.
  • To enable direct use of distilled Bell pairs in distributed quantum applications.

Main Methods:

  • Utilizing high-rate quantum low-density parity-check (qLDPC) codes.
  • Implementing a fault-tolerant distillation circuit.
  • Performing full circuit-level analysis for fault-tolerance.

Main Results:

  • Achieved a constant distillation rate equal to the qLDPC code rate.
  • Demonstrated fault-tolerance for Bell-pair infidelities below ~10%.
  • Eliminated unencoding overhead by keeping Bell pairs encoded in qLDPC codes.

Conclusions:

  • qLDPC-based distillation offers a practical and resource-efficient route.
  • The scheme is compatible with near-term quantum capabilities.
  • Enables direct integration into distributed quantum networks and computing.