Classical correlation and quantum discord sharing of Dirac fields in noninertial frames

Abstract

The classical and quantum correlations sharing between modes of the Dirac fields in the noninertial frame are investigated. It is shown that: (i) The classical correlation for the Dirac fields decreases as the acceleration increases, which is different from the result of the scalar field that the classical correlation is independent of the acceleration; (ii) There is no simple dominating relation between the quantum correlation and entanglement for the Dirac fields, which is unlike the scalar case where the quantum correlation is always over and above the entanglement; (iii) As the acceleration increases, the correlations between modes I and II and between modes A and II increase, but the correlations between modes A and I decrease.

Entanglement of arbitrary spin fields in noninertial frames

“…So far, most of the works have only considered spinless fields, either bosonic or fermionic [5][6][7][8][9][10][11][12][13][14][15][16][17][18]22]. Only a few works have considered fields of non-zero spin in this context, only in very specific cases (spin 1/2) [14,26,27], and always assuming the single mode approximation.…”

Dependence of Entanglement on Initial States under Amplitude Damping Channel in Non-Inertial Frames

“…Some inchoate ideas about this topic were presented in quantum optics [6]. On the other hand, with the rise of relativistic quantum information, much attention has been concentrated on the behavior of quantum correlations in a relativistic setting [7][8][9][10][11][12]. These works provide us some new way in understanding the quantum theory.…”

“…Sibasish Ghosh showed that it is not possible to discriminate between any three Bell states if only a single copy is provided and if only local operations and classical communication are allowed [14]. At present most of the studies consider only one of the Bell states but ignore the other three [9][10][11][12][13]15,16] because different Bell states will give the same result without considering environment. On the other hand, Philip Walther and Anton Zeilinger realized a probabilistic for Bell state analyzer for two photonic quantum bits by use of a non-destructive controlled-NOT gate based on entirely linear optical elements [17].…”

Quantifying quantum correlations in fermionic systems using witness operators

“…In order to do that, we will define a quantum discord for fermionic particles. Previous studies of quantum discord in systems of indistinguishable particles, like in [20], employ the notion of correlation of modes [6], which are distinguishable. This paper is organized as follows.…”