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}
}