Wigner function of noisy accelerated two-qubit system

In this manuscript, the behavior of the Wigner function of accelerated and non-accelerated two-qubit system passing through different noisy channels is discussed. The decoherence of the initial quantum correlation due to the noisy channels and the acceleration process is investigated by means of Wigner function. The negative (positive) behavior of the Wigner function predicts the gain of the quantum (classical) correlations. Based on the upper and lower bounds of the Wigner function, the entangled initial state loses its quantum correlation due to the acceleration process and the strengths of the noisy channels. However, by controlling the distribution angles, the decoherence of these quantum correlations may be suppressed. For the accelerated state, the robustness of the quantum correlations that contained in the initial state appears in different ranges of the distribution angles depending on the noisy type. For the bit-phase flip and the phase flip channels, the robustness of the quantum correlations are shown at any acceleration and large range of distribution angles. However, the fragility of the quantum correlation is depicted for large values for strength of the bit flip channel. Different profiles of the Wigner function are exhibited for the quantum and classical correlations, cup, lune and hemisphere. The amount of quantum correlation is quantified by using the quantum discord, where its maximum/minimum bounds are consistence with that depicted by the Wigner function. It is shown that the degree of withstanding against the decoherence due to the acceleration is depicted for the amplitude damping channel.