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

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This study introduces a new protocol for quantum repeaters using entanglement distillation and stabilizer codes. It enables reliable Bell state distribution for future fault-tolerant quantum networks.

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Area of Science:

  • Quantum Information Science
  • Quantum Communication
  • Quantum Computing

Background:

  • Measurement-based quantum repeaters are crucial for long-distance quantum communication.
  • They rely on entanglement distillation and swapping using resource states and Bell measurements.

Purpose of the Study:

  • To introduce a systematic protocol for measurement-based entanglement distillation.
  • To apply this protocol to quantum repeaters, leveraging any stabilizer code.
  • To provide insights into resource state noise and strategies for fault-tolerant preservation.

Main Methods:

  • Developed a protocol for measurement-based entanglement distillation adaptable to any stabilizer code.
  • Defined resource states and derived error-recovery operations based on Bell measurement outcomes.
  • Proposed a measurement-based repeater protocol using quantum low-density parity-check (QLDPC) codes.

Main Results:

  • Demonstrated constant-yield Bell state distribution over arbitrary distances using QLDPC codes.
  • Identified a fault-tolerant threshold for physical errors within repeater segments.
  • Showed that increasing QLDPC code size suppresses logical errors while maintaining encoding rate.

Conclusions:

  • Established a scalable backbone for global-scale fault-tolerant quantum networks.
  • The proposed protocol offers deeper insights into repeater performance and error management.
  • This work paves the way for robust and efficient quantum communication infrastructure.