Quantum Temporal Steering in a Dephasing Channel With Quantum Criticality

Abstract

We investigate the quantum temporal steering (TS), i.e., a temporal analogue of Einstein-Podolsky-Rosen steering, in a dephasing channel which is modeled by a central spin half surrounded by a spin-1/2 XY chain where quantum phase transition happens. The TS parameter STS and the TS weight WTS are employed to characterize the TS dynamics. We analytically obtain the dependence of STS on the decoherence factor. The numerical results show an obvious suppression of STS and WTS when the XY chain approaches to the critical point. In view of the significance of quantum channel, we develop a new concept, TS weight power, in order to quantify the capacity of the quantum channel in dominating TS behavior. This new quantity enables us to indicate the quantum criticality of the environment by the quantum correlation of TS in the coupled system.

Einstein–Podolsky–Rosen steering under asymmetry noise channels

“…Then the parameters c 1 = 1, c 2 = −1, c 3 = 1, s = 0 and r = 0. According to equation (8) and table 2, one can find that the output state ρ out is a symmetry Bell-diagonal state too. So there does…”

“…Alice) can remotely change or steer the quantum state of other ones (e.g. Bob) by making local operations or measurements, has attracted renewed interest in many branches of physics both for theoretical aspects and experimental ones over the past decade [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18]. Now, we know that EPR steering is a form of quantum inseparability that between the famous Bell nonlocality and entanglement, which means that there exits a strict hierarchy among EPR steering, entanglement and Bell nonlocality [1,2].…”