Fidelity based measurement induced nonlocality and its dynamics in quantum noisy channels

Abstract

Measurement induced nonlocality (MIN) captures global nonlocal effect of bipartite quantum state due to locally invariant projective measurements. In this paper, we propose a new version of MIN using fidelity induced metric,and the same is calculated for pure and mixed states. For mixed state, the upper bound is obtained from eigenvalues of correlation matrix. Further, dynamics of MIN and fidelity based MIN under various noisy quantum channels show that they are more robust than entanglement.

Fidelity-based measurement-induced nonlocality over two-sided measurements

“…Here we study the F-MIN and MIN for well-known families of 2×2 mixed states namely, isotropic state, Werner state and Bell diagonal state. In the case of isotropic and Werner states, the results given for one sided F-MIN [23] hold good for two-sided F-MIN as well.…”

“…and hence proved. Alternatively, following the optimation procedure in [23], the upper bounds for one-sided MINs are…”

“…In order to address this problem, MIN has also been investigated in terms of relative entropy [18], von Neumann entropy [19], skew information [20], Hellinger distance [17] and trace distance [21]. Recently, we have investigated the MIN based on quantum fidelity between pre-and post-measurement state [22,23]. We shall note that fidelity is also experimentally accessible using quantum networks [24], and hence nonlocal measure based on fidelity enjoys physical relevance.…”

Dynamics of measurement-induced nonlocality under decoherence

“…Fidelity itself is not a metric, any monotonically decreasing function of fidelity defines a valid distace measure. Defining MIN based on fidelity induced metric as [18,19]…”

Characterizing nonclassical correlation using affinity

“…Recently, researchers paid wide attention on correlation measures based on the quantum measurements some of the measures introduced are quantum discord [18,19], measurement-induced disturbance (MID) [20], geometric discord (GD) [21,22], measurement-induced nonlocality (MIN) [23,24,25] and uncertainty-induced nonlocality (UIN) [26]. Dynamics of quantum correlation (beyond entanglement) is also studied under various circumstances [27,28,29,30,31,32].…”