# Local content of bipartite qubit correlations

Authors: | C Branciard, N Gisin, V Scarani |

Journal: | Physical Review A 81, 022103 (2010) |

DOI: | http://dx.doi.org/10.1103/PhysRevA.81.022103 |

Abstract: | 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 vertical bar psi(theta)> = cos theta vertical bar 00 > + sin theta vertical bar 11 >, that their local content is (p(L)) over bar (theta) = cos 2 theta. We also share reflections on how to possibly extend this result to all two-qubit pure states. |

File: | epr2.pdf |

# BibTeX Source

@ARTICLE{Branciard2010,
author = {Branciard, C. and Gisin, N. and Scarani, V.},
title = {Local content of bipartite qubit correlations},
journal = {Physical Review A},
year = {2010},
volume = {81},
pages = {022103},
number = {2},
abstract = {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
vertical bar psi(theta)> = cos theta vertical bar 00 > + sin theta
vertical bar 11 >, that their local content is (p(L)) over bar (theta)
= cos 2 theta. We also share reflections on how to possibly extend
this result to all two-qubit pure states. },
doi = {10.1103/PhysRevA.81.022103},
owner = {cc},
sn = {1050-2947},
timestamp = {2010.08.20},
ut = {WOS:000275072500027}
}