Decoherence in time evolution of bound entanglement

Abstract

We study a dynamic process of disentanglement by considering the time evolution of bound entanglement for a quantum open system, two qutrits coupling to a common environment. Here, the initial quantum correlations of the two qutrits are characterized by the bound entanglement. In order to show the universality of the role of environment on bound entanglement, both bosonic and spin environments are considered. We found that the bound entanglement displays collapses and revivals, and it can be stable against small temperature and time change. The thermal fluctuation effects on bound entanglement are also considered.

Room Temperature Ionic Liquid Carbon Nanotube Paste Electrodes: Overcoming Large Capacitive Currents Using Rotating Disk Electrodes

“…Sun et al investigated the electrochemistry of hemoglobin immobilized in sodium alginate film on the surface of a RTIL-CPE using the ionic liquid [BMIM]PF 6 as the binder [42]. Wang et al also used a mixture of ionic liquids and mineral oil as a binder for making carbon paste electrode in order to improve the performance and stability of the carbon paste electrode [43].…”

A general scheme for construction of bound entangled states by convex linear combination

“…In particularly, we present a method to derive bound entangled states for bipartite composite quantum systems from pairs of known bound entangled states by convex linear combination. It would be interesting to use these results to discuss some related issues, such as robustness of bound entangled states [15] and time evolution of bound entanglement [16], and generalize it to multipartite entanglement [17][18][19].…”

Distillability sudden death and sudden birth in a two-qutrit system under decoherence at finite temperature

“…Based on Refs. [21][22][23][24][25][26][27][28][29][30], for a separable state ρ, the negativity is zero or negative, namely N (ρ) ≤ 0, and the realignment criterion implies that R(ρ) ≤ 0. For a positive partial transpose (PPT) state, the realignment criterion R(ρ) > 0 can prove the bound entangled state.…”

“…On the contrary, when an initially prepared in bound entangled or separable state becomes a distillable entangled state in a finite time, then it is said that it undergoes distillability sudden birth [22]. Recently great attention has been paid to the development of works on distillability sudden death [23][24][25][26][27][28][29][30] and sudden birth [31][32][33] addressing the practical problems of environmental decoherence. For example, Mazhar Ali investigated distillability sudden death of two-qutrit systems in the presence of either collective or multilocal noises [23,24].…”