Wigner Distribution of Accelerated TripartiteW-state

Abstract

In this contribution, we introduce an analytical form of the Wigner distribution function for any tripartite quantum system. These forms are extended to the accelerated tripartite quantum systems of W-state type. The quantum and classical correlations are predicted by negative/ positive values, respectively of the Wigner function. It is shown that for the non-accelerated W-state, the quantum correlations are predicted at large values of the distribution angles. However, for the accelerated W-state, the quantum correlations are predicted at different intervals of distribution angle and different initial acceleration. Due to the acceleration the quantum correlation decays, where the decay rate increases as the number of the accelerated qubits increases. We show that, the local noisy channels; bit and phase bit channels curb the decoherence of the quantum correlation. The ability of the phase-bit channel to defend the quantum correlation is stronger than that shown for the bit-channel, where it decreases if all the three qubits are accelerated. Moreover, we quantify, the amount of the survival quantum correlation by using the volume of the negativity. Our results show that, the volume of negativity doesn’t vanish even at large acceleration, which means thatW-state keeps some of its quantum correlation during the acceleration process.