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Bounds on Mixed State Entanglement.

Bruno Leggio1, Anna Napoli2,3, Hiromichi Nakazato4

  • 1Laboratoire Reproduction et Développement des Plantes, Université de Lyon, ENS de Lyon, UCB Lyon 1, CNRS, INRA, Inria, 69342 Lyon, France.

Entropy (Basel, Switzerland)
|December 8, 2020
PubMed
Summary
This summary is machine-generated.

We derived a general entanglement bound for mixed quantum states, applicable to finite-dimensional systems. This bound connects quantum correlations to thermodynamics, offering experimental insights and explaining thermal entanglement phenomena.

Keywords:
entanglementnegativity

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Area of Science:

  • Quantum Information Theory
  • Quantum Entanglement
  • Condensed Matter Physics

Background:

  • Bipartite quantum systems are fundamental to quantum information.
  • Characterizing entanglement in mixed states is crucial for quantum technologies.
  • Negative Partial Transpose (NPT) is a key indicator of entanglement.

Purpose of the Study:

  • To derive a general, experimentally relevant entanglement bound for mixed quantum states.
  • To explore the connection between quantum entanglement and thermodynamics.
  • To provide a clear physical explanation for thermal entanglement and monogamy of correlations.

Main Methods:

  • Derivation of an explicit entanglement bound for d1 x d2 mixed states.
  • Utilizing mixedness characterization of physical systems.
  • Analysis of thermal entanglement within the derived bound framework.

Main Results:

  • An explicit, general bound for bipartite NPT entanglement in mixed states was derived.
  • The bound is based on system mixedness and applicable to finite dimensions.
  • A connection between thermodynamics and the monogamy of quantum correlations was established.

Conclusions:

  • The derived entanglement bound is broadly applicable and experimentally relevant.
  • Thermodynamic properties can be linked to the monogamy of quantum correlations.
  • The study offers a physically intuitive explanation for observed phenomena in thermal entanglement.