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arXiv:1011.5700 · Journal of Quantum Information Science

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

Wenpin Zhang, Junfeng Deng, Jiliang Jing

Published Jan 1, 2012• 5 citations
arXivHTMLPDF

Abstract

Under amplitude damping channel, the dependence of the entanglement on the initial states and , which reduce to four orthogonal Bell states if we take the parameter of states are investigated. We find that the entanglements for different initial states will decay along different curves even with the same acceleration and parame-ter of the states. We note that, in an inertial frame, the sudden death of the entanglement for will occur if , while it will not take place for for any α. We also show that the possible range of the sudden death of the entanglement for is larger than that for . There exist two groups of Bell state here we can’t distinguish only by concurrence.

DOI
10.4236/jqis.2012.22005

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Under amplitude damping channel, the dependence of the entanglement on the initial states and , which reduce to four orthogonal Bell states if we take the parameter of states are investigated. We find that the entanglements for different initial states will decay along different curves even with the same acceleration and parame-ter of the states. We note that, in an inertial frame, the sudden death of the entanglement for will occur if , while it will not take place for for any α. We also show that the possible range of the sudden death of the entanglement for is larger than that for . There exist two groups of Bell state here we can’t distinguish only by concurrence.
The influence of initial entanglement on entanglement evolution under phase damping channel in noninertial frame is investigated. Compared with the scenario of amplitude damping channel, when the state parameter α has different values with the same intial entanglement, the evolution curves are identical. When the Unruh single particle state has right and left components, there is more serious quantum decoherence than the case where the Unruh single particle state has only right component with the sudden death of entanglement taking place early, and the time of sudden death of entanglement is independent of initial entanglement.
We study the effects of decoherence on the entanglement generated by Unruh effect in accelerated frames by using various combinations of an amplitude damping channel, a phase damping channel and a depolarizing channel in the form of multilocal and collective environments. Using concurrence as entanglement quantifier, we show that the occurrence of entanglement sudden death (ESD) depends on different combinations of the channels. The ESD can be avoided under a particular configuration of the channels. We show that the channels can be used to distinguish between a moving and a stationary frame.
We investigate the effects of quantum decoherence generated by the Unruh effect in non-inertial frames under an amplitude damping channel and a phase damping channel, respectively, when the Unruh single particle has right and left components. We not only consider the influence of acceleration on entanglement, but also consider the influence of different rates between right and left components of the Unruh single-particle state on entanglement. We find that when the Unruh single-particle state has right and left components, i.e. |1⟩U = q L|0⟩I|1⟩II + q R|1⟩I|0⟩II, |q R|2 + |q L|2 = 1, with q L ≠ 0, there appears the sudden death of entanglement, which occurs earlier under both the amplitude damping channel and the phase damping channel with the increase of acceleration than that when the Unruh single-particle state only has a right component (q R = 1, q L = 0). We also find that the initial entanglement decreases with decrease of q R from 1 to 1/21/2.
The decoherence effect on multipartite entanglement in non-inertial frames is investigated. The GHZ state is considered to be shared between partners with one partner in the inertial frame whereas the other two are in accelerated frames. One-tangle and π-tangles are used to quantify the entanglement of the multipartite system influenced by phase damping and phase flip channels. It is seen that for the phase damping channel, entanglement sudden death (ESD) occurs for p > 0.5 in the infinite acceleration limit. On the other hand, in the case of the phase flip channel, ESD behavior occurs at p = 0.5. It is also seen that entanglement sudden birth (ESB) occurs in the case of phase flip channel just after ESD, i.e. p > 0.5. Furthermore, it is seen that the effect of the environment on multipartite entanglement is much stronger than that of the acceleration of non-inertial frames.
We study the effect of quantum memory in non-inertial frames under the influence of amplitude damping, depolarizing, phase flip and bit-phase flip channels. It is shown that the entanglement of initial state is heavily influenced by quantum correlations. It is seen that quantum memory compensates the loss of entanglement generated caused by the Unruh effect. It is interesting to note that the sudden death of entanglement disappears for any acceleration for higher values of memory. Therefore, it is possible to avoid ESD in non-inertial frames due to the presence of quantum memory. Furthermore, the degree of entanglement is enhanced as we increase the degree of memory and it maximizes for maximum correlations.
We study the effects of decoherence on the entanglement generated by the Unruh effect in noninertial frames by using phase flip, phase damping and depolarizing channels. It is shown that decoherence strongly influences the initial state entanglement. Entanglement sudden death can occur irrespective of the acceleration of the noninertial frame under the action of phase flip and phase damping channels. It is investigated that an early sudden death occurs for large acceleration under the depolarizing environment. Moreover, entanglement increases for a highly decohered phase flip channel.