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Deterministic Coherence Distillation.

C L Liu1, D L Zhou1,2,3,4

  • 1Institute of Physics, Beijing National Laboratory for Condensed Matter Physics, Chinese Academy of Sciences, Beijing 100190, China.

Physical Review Letters
|September 7, 2019
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Summary
This summary is machine-generated.

We present a deterministic method for distilling quantum coherence from mixed states using strictly incoherent operations. This research establishes the conditions for transforming mixed coherent states into pure states, maximizing obtainable maximally coherent states.

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Area of Science:

  • Quantum Information Science
  • Quantum Optics
  • Quantum Thermodynamics

Background:

  • Coherence is a key resource in quantum mechanics, essential for quantum computation and information processing.
  • Coherence distillation aims to convert less coherent states into more useful, highly coherent states.
  • Strictly incoherent operations (SIOs) are fundamental tools in quantifying and manipulating quantum coherence.

Purpose of the Study:

  • To establish the necessary and sufficient conditions for deterministic coherence distillation from mixed states using SIOs.
  • To connect the resource theory of coherence with the algebraic theory of majorization.
  • To develop a practical scheme for coherence distillation and determine the maximum yield of maximally coherent states.

Main Methods:

  • Analysis of state transformations under strictly incoherent operations.
  • Application of algebraic methods related to majorization theory.
  • Development of a deterministic protocol for distilling quantum coherence.

Main Results:

  • The necessary and sufficient condition for transforming mixed coherent states into pure states using SIOs was identified.
  • A direct link was established between coherence distillation and the majorization lattice.
  • A deterministic coherence distillation scheme was proposed, yielding the maximum possible number of maximally coherent states.

Conclusions:

  • Deterministic distillation of quantum coherence is achievable for finite coherent states under SIOs.
  • The majorization theory provides a powerful framework for understanding coherence transformations.
  • The proposed scheme offers a practical method for generating high-quality coherent states.