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Increasing entanglement monotones by separable operations.

Eric Chitambar1, Wei Cui, Hoi-Kwong Lo

  • 1Center for Quantum Information and Quantum Control (CQIQC), Department of Physics, University of Toronto, Toronto, Ontario, M5S 3G4, Canada. e.chitambar@utoronto.ca

Physical Review Letters
|September 26, 2012
PubMed
Summary
This summary is machine-generated.

Researchers found a 12.5% gap between separable operations (SEP) and local quantum operations and classical communication (LOCC) in entanglement conversion. This is the first significant difference found, impacting quantum information processing.

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Area of Science:

  • Quantum Information Science
  • Quantum Computation and Information

Background:

  • Local quantum operations and classical communication (LOCC) are fundamental to quantum entanglement.
  • Separable operations (SEP) are often used to approximate LOCC, but their exact relationship is unclear.

Purpose of the Study:

  • To quantify the difference between LOCC and SEP in entanglement conversion.
  • To investigate the limitations of SEP as an approximation for LOCC.

Main Methods:

  • Comparison of LOCC and SEP for tripartite to bipartite entanglement conversion.
  • Construction of a novel, computable entanglement monotone not monotonic under SEP.

Main Results:

  • An appreciable gap of 12.5% was identified between SEP and LOCC for specific entanglement conversions.
  • A new entanglement monotone was developed that distinguishes between LOCC and SEP.
  • Convergent sequences of LOCC protocols may not be feasible in the limit.

Conclusions:

  • SEP is not a perfect approximation of LOCC, with a quantifiable difference.
  • The developed entanglement monotone provides a tool to differentiate between these operational classes.
  • The study highlights subtleties in the convergence of quantum protocols.