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Thermodynamical approach to quantifying quantum correlations.

Jonathan Oppenheim1, Michał Horodecki, Paweł Horodecki

  • 1Theoretical Physics Institute, University of Alberta, 412 Avadh Bhatia Physics Laboratory, Edmonton, Alberta, Canada T6G 2J1.

Physical Review Letters
|October 26, 2002
PubMed
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Extracting work from quantum states shared between two parties yields less energy than expected. This "work deficit" quantifies quantum correlations and is linked to distillable entanglement, offering new insights into quantum nonlocality.

Area of Science:

  • Quantum Thermodynamics
  • Quantum Information Theory
  • Quantum Correlations

Background:

  • The extractable work from quantum states is a fundamental concept in quantum thermodynamics.
  • Bipartite quantum states, shared between two parties, exhibit unique properties impacting work extraction.
  • Understanding quantum correlations is crucial for advancing quantum technologies.

Purpose of the Study:

  • To investigate the work deficit in bipartite quantum states.
  • To establish bounds for the work deficit and calculate it for specific cases.
  • To explore the relationship between work deficit, distillable entanglement, and quantum nonlocality.

Main Methods:

  • Derivation of theoretical bounds for the work deficit.
  • Explicit calculation of the work deficit for various bipartite states.

Related Experiment Videos

  • Analysis of the relationship between work deficit and distillable entanglement.

    • Main Results:

    • The work extractable from a bipartite state is generally less than from a single-party state.
    • The work deficit quantifies the reduction in extractable work due to bipartite sharing.
    • For pure bipartite states, the work deficit equals the distillable entanglement.
    • A complementarity relation exists between extractable work and distillable entanglement.

    Conclusions:

    • The work deficit serves as a robust measure of quantum correlations in bipartite states.
    • This deficit offers a new perspective for understanding and quantifying quantum nonlocality.
    • The findings have implications for quantum information processing and quantum thermodynamics.