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Quantum states can be reversibly transformed using probabilistic protocols, even in asymptotic limits. This research confirms the possibility of universal state interconversion in quantum resource theories, establishing new bounds for transformation rates.

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Area of Science:

  • Quantum Information Theory
  • Quantum Resource Theories
  • Entanglement Manipulation

Background:

  • Fundamental questions in quantum resource manipulation concern the reversible transformation of all resource states.
  • A key consequence would be a unique entropic measure quantifying transformation limits.
  • Previous claims of asymptotic reversibility were found to be incomplete.

Purpose of the Study:

  • To investigate the possibility of reversibly interconverting all states in general quantum resource theories.
  • To determine if probabilistic protocols can achieve universal state transformation.
  • To establish the optimality of resource non-generating operations.

Main Methods:

  • Development of probabilistic transformation protocols.
  • Analysis of success probabilities in asymptotic limits.
  • Connection between probabilistic protocol rates and strong converse rates for deterministic transformations.

Main Results:

  • Demonstration that all states in general quantum resource theories can be reversibly interconverted using probabilistic protocols.
  • Ensured success probability bounded away from zero, even in asymptotic limits.
  • Identification of asymptotically resource non-generating operations as optimal for reversibility.

Conclusions:

  • Reversibility of all states in quantum resource theories is achievable through probabilistic protocols.
  • Probabilistic protocols offer a pathway to universal state interconversion with guaranteed non-zero success.
  • The findings strengthen the understanding of entanglement distillation and resource quantification.