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Entanglement measure for composite systems.

V I Yukalov1

  • 1Bogolubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna 141980, Russia.

Physical Review Letters
|May 7, 2003
PubMed
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This study introduces a universal method to quantify quantum entanglement in any physical system. The new entanglement measure applies broadly to various operators and systems, including multiparticle states.

Area of Science:

  • Quantum Information Science
  • Condensed Matter Physics
  • Quantum Many-Body Systems

Background:

  • Quantum entanglement is a fundamental resource in quantum information science.
  • Existing entanglement measures often have limitations in scope and applicability.
  • Understanding entanglement in diverse physical systems is crucial for advancing quantum technologies.

Purpose of the Study:

  • To propose a general framework for describing and quantifying quantum entanglement.
  • To define a versatile entanglement measure applicable across different physical systems and operators.
  • To investigate the relationship between entanglement and ordering phenomena during phase transitions.

Main Methods:

  • Defining entanglement as an action performed by an arbitrary operator on disentangled states.

Related Experiment Videos

  • Developing a general entanglement measure applicable to pure or mixed, equilibrium or nonequilibrium states.
  • Utilizing operator order indices to analyze the interplay between entanglement and ordering.

    • Main Results:

    • A broadly applicable definition of entanglement and a corresponding measure are introduced.
    • The framework accommodates various types of operators (statistical, field, spin) and systems.
    • The analysis reveals insights into entanglement dynamics during phase transitions via operator ordering.

    Conclusions:

    • The proposed general entanglement description offers a unified approach for diverse quantum systems.
    • This framework facilitates the study of entanglement in complex multiparticle systems.
    • The connection between entanglement and ordering provides a new perspective on quantum phase transitions.