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Dynamical Entanglement.

Gilad Gour1, Carlo Maria Scandolo1

  • 1Department of Mathematics and Statistics, University of Calgary, Alberta, Canada T2N 1N4 and Institute for Quantum Science and Technology, University of Calgary, Alberta, Canada T2N 1N4.

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Summary
This summary is machine-generated.

Researchers developed new ways to measure dynamical entanglement in quantum channels. These methods, including the max-logarithmic negativity, quantify entanglement cost and enable channel simulation under specific conditions.

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Area of Science:

  • Quantum Information Theory
  • Quantum Communication

Background:

  • Entanglement of quantum states is well-understood, but entanglement of quantum channels, known as dynamical entanglement, remains largely unexplored.
  • Dynamical entanglement is crucial for understanding information transmission capabilities of quantum channels.

Purpose of the Study:

  • To define computable measures for dynamical entanglement.
  • To establish criteria for simulating bipartite quantum channels using local operations and classical communication (LOCC) or operations with positive partial transpose (PPT).

Main Methods:

  • Utilizing the partial transpose of a superchannel to define entanglement measures.
  • Introducing and analyzing the max-logarithmic negativity as a key measure.

Main Results:

  • Developed computable measures of dynamical entanglement, including negativity and max-logarithmic negativity.
  • Demonstrated that max-logarithmic negativity precisely quantifies the asymptotic dynamical entanglement cost.
  • Identified a set of dynamical entanglement measures that are necessary and sufficient for channel simulation under LOCC and PPT operations.

Conclusions:

  • The developed measures provide a robust framework for quantifying and understanding dynamical entanglement.
  • These findings advance the theory of quantum channel simulation and resource quantification in quantum information processing.