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Quantifying Dynamical Coherence with Dynamical Entanglement.

Thomas Theurer1, Saipriya Satyajit2, Martin B Plenio1

  • 1Institute of Theoretical Physics and IQST, Universität Ulm, Albert-Einstein-Allee 11, D-89069 Ulm, Germany.

Physical Review Letters
|October 9, 2020
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Summary
This summary is machine-generated.

Dynamical coherence quantifies operations, bounding the entanglement they can generate. This bound is achievable using relative entropy monotones, revealing an operational analog to entanglement potential.

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Area of Science:

  • Quantum Information Science
  • Quantum Foundations
  • Quantum Optics

Background:

  • Coherent superposition and entanglement are key indicators of quantum mechanical systems.
  • Understanding nonclassicality requires quantifying these fundamental resources.
  • Previous research focused on resource quantification at the state level.

Purpose of the Study:

  • To establish a quantitative link between operational dynamical coherence and dynamical entanglement.
  • To demonstrate that the dynamical coherence of an operation provides an upper bound for its potential to generate entanglement.
  • To introduce and validate a new quantifier for dynamical coherence at the operational level.

Main Methods:

  • Development of a theoretical framework connecting operational coherence and entanglement.
  • Utilizing relative entropy-based monotones for quantifying dynamical resources.
  • Analysis of how incoherent operations affect the generation of entanglement from coherent operations.

Main Results:

  • The dynamical coherence of an operation quantitatively upper bounds the dynamical entanglement it can generate, even with auxiliary incoherent operations.
  • This upper bound is shown to be achievable when employing specific relative entropy-based monotones.
  • An operational analog to entanglement potential is identified and validated as a measure of dynamical coherence.

Conclusions:

  • A fundamental connection is established between coherence and entanglement at the operational level.
  • Dynamical coherence serves as a resource that limits and governs the generation of dynamical entanglement.
  • The introduced operational quantifier provides a new tool for analyzing coherence in quantum operations.