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A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
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Decoding correlated errors in quantum LDPC codes.

Arshpreet Singh Maan1, Francisco Miguel Garcia Herrero2, Alexandru Paler3

  • 1Aalto University, Espoo, Finland. arshpreet.maan@aalto.fi.

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This summary is machine-generated.

We developed a new decoding framework for quantum error correction codes, significantly reducing logical error rates. This method achieves high accuracy and low latency, enabling real-time quantum error correction.

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Area of Science:

  • Quantum Information Science
  • Quantum Computing
  • Error Correction Codes

Background:

  • Correlated errors in quantum codes pose a significant challenge for fault-tolerant quantum computing.
  • Existing decoding methods struggle with circuit-level noise and correlated errors.

Purpose of the Study:

  • To introduce an efficient decoding framework for quantum Low-Density Parity-Check (LDPC) codes under circuit-level noise.
  • To address correlated errors by modifying the error model while preserving decoding equivalence.

Main Methods:

  • Graph augmentation and rewiring for inference (GARI) method to modify the correlated detector error model.
  • Elimination of 4-cycles involving Y-type errors in the graph representation.
  • Application of a normalized min-sum decoder with a hybrid serial-layered schedule.
  • Ensemble decoding using 24 parallel decoders for enhanced performance.

Main Results:

  • Achieved a logical error rate of (6.70 ± 1.93) × 10-9 for the distance 12 Bivariate Bicycle code at a physical error rate of 10-3.
  • Demonstrated performance on par with XYZ-Relay-BP through ensemble decoding.
  • Preliminary FPGA results show real-time capability with an average decoding latency of 273 ns.

Conclusions:

  • The GARI framework effectively decodes quantum LDPC codes with correlated errors.
  • The proposed method achieves high accuracy and low latency, suitable for real-time applications.
  • This work advances the practical implementation of fault-tolerant quantum computers.