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Inseparability criterion for continuous variable systems

Duan1, Giedke, Cirac

  • 1Institut fur Theoretische Physik, Universitat Innsbruck, A-6020 Innsbruck, Austria and Laboratory of Quantum Communication and Quantum Computation, University of Science and Technology of China, Hefei 230026, China.

Physical Review Letters
|October 4, 2000
PubMed
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A new criterion for detecting entanglement in continuous variable systems is introduced. This method, based on total variance, reliably identifies entangled states, especially Gaussian states.

Area of Science:

  • Quantum Information Theory
  • Quantum Optics
  • Continuous Variable Systems

Background:

  • Entanglement is a key resource in quantum information processing.
  • Detecting entanglement in continuous variable systems remains a challenge.
  • Existing criteria may not be universally applicable or easy to implement.

Purpose of the Study:

  • To propose a novel inseparability criterion for continuous variable systems.
  • To provide a practical method for verifying entanglement.
  • To establish conditions for identifying entangled Gaussian states.

Main Methods:

  • Utilizing Einstein-Podolsky-Rosen (EPR) type operators.
  • Calculating the total variance of these operators.
  • Developing a criterion based on the computed variance.

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Main Results:

  • A new sufficient condition for entanglement in any two-party continuous variable state is established.
  • For Gaussian states, the criterion is proven to be both necessary and sufficient for inseparability.
  • The proposed criterion offers a robust method for entanglement verification.

Conclusions:

  • The total variance-based criterion is an effective tool for detecting entanglement.
  • This work simplifies entanglement verification for Gaussian states.
  • The findings contribute to the understanding and application of continuous variable entanglement.