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One-Shot Coherence Dilution.

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This summary is machine-generated.

This study introduces the one-shot theory of coherence dilution, quantifying the quantum resources needed to convert maximally coherent states into desired quantum states using finite resources. This advances quantum information processing tasks.

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Area of Science:

  • Quantum Physics
  • Quantum Information Theory

Background:

  • Quantum resource manipulation is key in quantum physics.
  • Previous work focused on asymptotic limits (infinite states) for coherence distillation and dilution.
  • The non-asymptotic, finite resource setting for coherence manipulation remained an open problem.

Purpose of the Study:

  • To establish the one-shot theory of coherence dilution for finite quantum resources.
  • To quantify the minimum resources required for coherence dilution.
  • To explore applications in quantum information processing.

Main Methods:

  • Developing a one-shot theory for coherence dilution.
  • Introducing coherence monotones to estimate the coherence cost.
  • Analyzing different types of incoherent operations (maximally incoherent, dephasing-covariant, incoherent, strictly incoherent).

Main Results:

  • Established the one-shot theory of coherence dilution.
  • Introduced operational coherence monotones to quantify the one-shot coherence cost.
  • Derived asymptotic coherence dilution results as special cases.

Conclusions:

  • The one-shot theory provides a framework for coherence manipulation with finite resources.
  • Coherence monotones offer practical measures for resource estimation.
  • Results are applicable to quantum key distribution and random number generation.