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Analytic relations between localizable entanglement and string correlations in spin systems.

L Campos Venuti1, M Roncaglia

  • 1Dipartimento di Fisica, V.le C. Berti-Pichat 6/2, I-40127 Bologna, Italy.

Physical Review Letters
|August 11, 2005
PubMed
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Localizable entanglement in quantum spin systems is linked to generalized correlations, not just spin-spin interactions. This finding reveals new insights into quantum channels and correlations.

Area of Science:

  • Quantum physics
  • Condensed matter theory
  • Quantum information science

Background:

  • Localizable entanglement is a recently defined measure of quantum correlations.
  • Generalized correlations offer a broader framework for understanding quantum systems.
  • Previous understanding suggested a different relationship between localizable entanglement and correlations.

Purpose of the Study:

  • To investigate the relationship between localizable entanglement and generalized correlations in quantum spin systems.
  • To challenge the prevailing view on the nature of localizable entanglement.
  • To identify potential applications in quantum communication.

Main Methods:

  • Symmetry arguments applied to quantum spin systems.
  • Analytical derivations for spin-1/2 and spin-1 systems.

Related Experiment Videos

  • Examination of specific models like the Heisenberg model.

    • Main Results:

    • Localizable entanglement is consistently the average of a generalized string.
    • In spin-1/2 systems, it simplifies to spin-spin correlations.
    • In spin-1 systems, it reduces to string correlations.
    • A class of spin-1 systems, including the Heisenberg model, functions as a perfect quantum channel.

    Conclusions:

    • The study provides an analytical framework for understanding localizable entanglement.
    • It confirms previous numerical findings through theoretical proof.
    • Identifies specific quantum spin systems suitable for perfect quantum channels.