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Quantifying coherence.

T Baumgratz1, M Cramer1, M B Plenio1

  • 1Institut für Theoretische Physik, Albert-Einstein-Allee 11, Universität Ulm, 89069 Ulm, Germany.

Physical Review Letters
|October 18, 2014
PubMed
Summary
This summary is machine-generated.

We present a new framework to quantify coherence, treating it as a physical resource. This research identifies computable measures for coherence and distinguishes them from non-coherence quantities.

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Area of Science:

  • Quantum Information Theory
  • Quantum Physics

Background:

  • Coherence is a fundamental property in quantum mechanics.
  • Quantifying coherence is crucial for understanding and utilizing quantum phenomena.
  • Existing methods for coherence quantification lack a rigorous, resource-based framework.

Purpose of the Study:

  • To introduce a rigorous theoretical framework for quantifying coherence.
  • To identify intuitive and computable measures of coherence.
  • To establish defining conditions for valid coherence measures.

Main Methods:

  • Adopting the perspective of coherence as a physical resource.
  • Deriving defining conditions that coherence measures must satisfy.
  • Analyzing various functionals to determine their validity as coherence measures.

Main Results:

  • A rigorous framework for coherence quantification has been established.
  • Intuitive and easily computable measures of coherence have been identified.
  • Classes of functionals satisfying the defining conditions were identified, distinguishing them from non-coherence quantities.

Conclusions:

  • The developed framework provides a solid foundation for coherence quantification.
  • Further research is needed to fully develop the theory of coherence as a resource.
  • The identified measures offer practical tools for quantum information processing.