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Complete criterion for separability detection.

Miguel Navascués1, Masaki Owari, Martin B Plenio

  • 1Institute for Mathematical Sciences, Imperial College London, SW7 2PE, United Kingdom.

Physical Review Letters
|November 13, 2009
PubMed
Summary
This summary is machine-generated.

We introduce a new criterion for quantum state separability in bosonic systems. This method uses semidefinite programming to approximate optimal quantum state estimation strategies and entanglement robustness.

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Area of Science:

  • Quantum Information Theory
  • Quantum Many-Body Systems
  • Quantum State Characterization

Background:

  • Characterizing quantum states, particularly their separability, is crucial for quantum information processing.
  • Bosonic systems present unique challenges due to their inherent symmetries.

Purpose of the Study:

  • To develop a novel, complete criterion for determining the separability of quantum states in bosonic systems.
  • To provide a method for approximating optimal strategies in quantum state estimation problems.
  • To assess the entanglement robustness of quantum states with previously unknown separability properties.

Main Methods:

  • Derivation of a new separability criterion based on the internal characterization of the set of separable states.
  • Utilizing a sequence of efficiently solvable semidefinite programs.
  • Application to generic state estimation problems and calculation of entanglement robustness.

Main Results:

  • A new complete criterion for quantum state separability in bosonic systems is established.
  • Arbitrarily good approximations to optimal measure-and-prepare strategies are derived.
  • Performance is demonstrated in conjunction with existing criteria for entanglement robustness calculations.

Conclusions:

  • The developed criterion offers an efficient and complete method for analyzing quantum state separability.
  • The approach provides valuable tools for state estimation and understanding entanglement in complex quantum systems.
  • This work advances the characterization of quantum states and their properties in bosonic systems.