Quantum Information and Computation, ( ISI ), Volume (13), No (5), Year (2012-12) , Pages (479-489)

Title : ( measurement-induced nonlocality for an arbitrary bipartite state )

Authors: sayed yahya mirafzali , Iman Sargolzahi , Ali Ahanj , Kurosh Javidan , Mohsen Sarbishaei ,

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.Measurement-induced nonlocality is a measure of nonlocalty introduced by Luo and Fu [Phys. Rev. Lett 106, 120401 (2011)]. In this paper, we study the problem of evaluation of Measurement-induced nonlocality (MIN) for an arbitrary m×n dimensional bipartite density matrix  for the case where one of its reduced density matrix, a, is degenerate (the nondegenerate case was explained in the preceding reference). Suppose that, in general, a has d degenerate subspaces with dimension mi(mi  m, i = 1, 2, ..., d). We show that according to the degeneracy of a, if we expand  in a suitable basis, the evaluation of MIN for an m × n dimensional state , is degraded to finding the MIN in the mi × n dimensional subspaces of state . This method can reduce the calculations in the evaluation of MIN. Moreover, for an arbitrary m × n state  for which mi  2, our method leads to the exact value of the MIN. Also, we obtain an upper bound for MIN which can improve the ones introduced in the above mentioned reference. Finally, we explain the evaluation of MIN for 3 × n dimensional states in details.


.nonlocality qubit
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author = {Mirafzali, Sayed Yahya and Iman Sargolzahi and Ali Ahanj and Javidan, Kurosh and Sarbishaei, Mohsen},
title = {measurement-induced nonlocality for an arbitrary bipartite state},
journal = {Quantum Information and Computation},
year = {2012},
volume = {13},
number = {5},
month = {December},
issn = {1533-7146},
pages = {479--489},
numpages = {10},
keywords = {.nonlocality qubit entanglement},


%0 Journal Article
%T measurement-induced nonlocality for an arbitrary bipartite state
%A Mirafzali, Sayed Yahya
%A Iman Sargolzahi
%A Ali Ahanj
%A Javidan, Kurosh
%A Sarbishaei, Mohsen
%J Quantum Information and Computation
%@ 1533-7146
%D 2012