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Local content of bipartite qubit correlations

Source: Phys. Rev. A 81, 022103 (2010); doi:10.1103/PhysRevA.81.022103

Published 3 February 2010

PACS
  • 03.65.Ud
    Entanglement and quantum nonlocality
  • 03.67.Bg
    Entanglement production and manipulation (quantum information)
  • 03.67.Mn
    Entanglement measures, witnesses, and other characterizations (quantum information)
  • YEAR: 2010
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Cyril Branciard,1 Nicolas Gisin,1 and Valerio Scarani2
1Group of Applied Physics, University of Geneva, 1211 Geneva, Switzerland
2Centre for Quantum Technologies and Department of Physics, National University of Singapore, 117543 Singapore

One of the last open problems concerning two qubits in a pure state is to find the exact local content of their correlation, in the sense of Elitzur, Popescu, and Rohrlich (EPR2) [A. C. Elitzur, S. Popescu, and D. Rohrlich, Phys. Lett. A162, 25 (1992)]. We propose an EPR2 decomposition that allows us to prove, for a wide range of states |psi(theta)>=costheta|00>+sintheta|11>, that their local content is [overline p[sub L]](theta)=cos2theta. We also share reflections on how to possibly extend this result to all two-qubit pure states. ©2010 The American Physical Society
History: Received 22 September 2009; published 3 February 2010
Permalink: http://link.aps.org/abstract/PRA/v81/e022103
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