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Error Probability Mitigation in Quantum Reading Using Classical Codes.

Francisco Revson Fernandes Pereira1,2, Stefano Mancini1,2

  • 1School of Science and Technology, University of Camerino, I-62032 Camerino, Italy.

Entropy (Basel, Switzerland)
|January 21, 2022
PubMed
Summary
This summary is machine-generated.

This study introduces a simple protocol using classical error-correcting codes to improve quantum reading, which distinguishes quantum channels. BCH codes with a Dolinar receiver offer optimal error mitigation.

Keywords:
Dolinar receiverReed–Muller codescyclic codesheterodyne receiverquantum reading

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Area of Science:

  • Quantum information science
  • Quantum communication and computation

Background:

  • Quantum reading involves statistically discriminating between quantum channels.
  • Error reduction in quantum channel discrimination is crucial for reliable quantum information processing.
  • Classical and quantum codes are potential tools for enhancing quantum reading performance.

Purpose of the Study:

  • To present a simple yet effective protocol for quantum channel discrimination using classical error-correcting codes.
  • To analyze the impact of different classical codes (Reed-Solomon, BCH, Reed-Muller) and receivers (heterodyne, Dolinar) on error probability.
  • To demonstrate the threshold at which coding strategies outperform sophisticated schemes.

Main Methods:

  • Implementation of a quantum reading protocol utilizing classical error-correcting codes.
  • Consideration of coherent states as probes for encoding and measurement.
  • Analysis of heterodyne and Dolinar receivers in conjunction with various classical codes.
  • Evaluation of error probability reduction based on code families and receiver types.

Main Results:

  • A simple coding protocol significantly reduces error probability in quantum channel discrimination.
  • A threshold exists where classical codes surpass advanced schemes for quantum reading.
  • BCH codes combined with a Dolinar receiver emerge as the optimal strategy for error mitigation.

Conclusions:

  • Classical error-correcting codes provide a practical and efficient method for improving quantum reading.
  • The choice of code and receiver critically impacts the performance of quantum channel discrimination.
  • The BCH code and Dolinar receiver combination represents a highly effective approach for error mitigation in quantum reading.