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Adversarial Quantum Channel Discrimination.

Kun Fang1, Hamza Fawzi2, Omar Fawzi3

  • 1The Chinese University of Hong Kong, School of Data Science, Shenzhen, Guangdong, 518172, China.

Physical Review Letters
|January 20, 2026
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Summary
This summary is machine-generated.

We developed a new framework for quantum channel discrimination against an adversary. This framework precisely characterizes the optimal error exponent, analogous to quantum Stein's lemma, and connects quantum information theory with quantum cryptography.

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Area of Science:

  • Quantum Information Theory
  • Quantum Cryptography
  • Statistical Decision Theory

Background:

  • Quantum channel discrimination is crucial for quantum communication security.
  • Existing methods often focus on "best-case" scenarios, leaving adversarial settings less understood.
  • Asymmetric hypothesis testing is a key framework for analyzing error probabilities.

Purpose of the Study:

  • To introduce a novel framework for quantum channel discrimination in an adversarial setting.
  • To characterize the optimal type-II error exponent in this adversarial framework.
  • To establish a connection between quantum cryptography and adversarial channel discrimination.

Main Methods:

  • Development of a new quantum channel divergence measure (minimum output channel divergence).
  • Application of asymmetric hypothesis testing to adversarial quantum channel discrimination.
  • Reframing entropy accumulation as an adversarial channel discrimination problem.

Main Results:

  • The optimal type-II error exponent is precisely characterized by the minimum output channel divergence.
  • This result is a direct analog of the quantum Stein's lemma for adversarial settings.
  • The optimal error exponent is achievable via simple nonadaptive adversarial strategies and is efficiently computable.

Conclusions:

  • The new framework provides a complete understanding of the ultimate limits of quantum channel discrimination.
  • The minimum output channel divergence offers a powerful tool for analyzing quantum channels in adversarial scenarios.
  • This work establishes a significant link between quantum information theory and quantum cryptography through adversarial discrimination.