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• W1520595924 abstract "Measurement-induced nonlocality is a measure of nonlocalty introduced by Luo and Fu [Phys. Rev. Lett textbf{106}, 120401 (2011)]. In this paper, we study the problem of evaluation of Measurement-induced nonlocality (MIN) for an arbitrary $mtimes n$ dimensional bipartite density matrix $rho$ for the case where one of its reduced density matrix, $rho^{a}$, is degenerate (the nondegenerate case was explained in the preceding reference). Suppose that, in general, $rho^{a}$ has $d$ degenerate subspaces with dimension $m_{i} (m_{i} leq m , i=1, 2, ..., d)$. We show that according to the degeneracy of $rho^{a}$, if we expand $rho$ in a suitable basis, the evaluation of MIN for an $mtimes n$ dimensional state $rho$, is degraded to finding the MIN in the $m_{i}times n$ dimensional subspaces of state $rho$. This method can reduce the calculations in the evaluation of MIN. Moreover, for an arbitrary $mtimes n$ state $rho$ for which $m_{i}leq 2$, 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 $3times n$ dimensional states in details." @default.
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• W1520595924 date "2013-05-01" @default.
• W1520595924 modified "2023-10-16" @default.
• W1520595924 title "Measurement-induced nonlocality for an arbitrary bipartite state" @default.
• W1520595924 cites W1593972399 @default.
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• W1520595924 doi "https://doi.org/10.26421/qic13.5-6-8" @default.
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