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Quantum Information and Computation     ISSN: 1533-7146      published since 2001
Vol.10 No.11&12  November 2010 

Are quantum correlations symmetric? (pp0901-0910)
          
Karol Horodecki, Michal Horodecki, and Pawel Horodecki
         
doi: https://doi.org/10.26421/QIC10.11-12-1

Abstracts: We provide operational definition of symmetry of entanglement: An entangled state contains symmetric entanglement if its subsystems can be exchanged (swapped) by means of local operations and classical communication. We show that in general states have asymmetric entanglement. This allows to construct nonsymmetric measure of entanglement, and a parameter that reports asymmetry of entanglement contents of quantum state. We propose asymptotic measure of asymmetry of entanglement, and show that states for which it is nonzero, contain necessarily bound entanglement.
Key words: symmetry, swap, entanglement measure

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