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Communications in Theoretical Physics

Dynamics of Measurement-Induced Disturbance for a Qubit-Qutrit System in Noninertial Frames

Hao Yuan, Lian-Fu Wei

Published Jan 1, 2013• 10 citations
Publisher

Abstract

We investigate the dynamics of measurement-induced disturbance (MID) for a qubit-qutrit system in noninertial frames under various multi-local decoherence channels (i.e., dephasing, phase-flip, bit-(trit-) flip, bit-(trit-) phase-flip, and depolarizing channels). We find that, for any acceleration, the MID can decay in a monotonic way to zero or to a nonzero steady value (i.e., residual MID exists). Consequently, no sudden death of the MID occurs, which is different from entanglement.

DOI
10.1088/0253-6102/59/1/04

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We investigate the dynamics of measurement-induced disturbance (MID) for a qubit-qutrit system in noninertial frames under various multi-local decoherence channels (i.e., dephasing, phase-flip, bit-(trit-) flip, bit-(trit-) phase-flip, and depolarizing channels). We find that, for any acceleration, the MID can decay in a monotonic way to zero or to a nonzero steady value (i.e., residual MID exists). Consequently, no sudden death of the MID occurs, which is different from entanglement.
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The effect of decoherence on a qubit-qutrit system under the influence of global and multilocal decoherence in non-inertial frames is investigated. It is shown that the entanglement sudden death (ESD) can be avoided in non-inertial frames in the presence of dephasing and bit-trit phase flip channels for entire range of decoherence. However, ESD behaviour is seen for higher level of decoherence in case of phase flip and bit-trit flip channels. Irrespective of the entanglement degradation caused by the Unruh effect, no ESD occurs for the dephasing environment. Furthermore, flipping channels have approximately similar effect on the entanglement of the hybrid system.
Entanglement dynamics of a qutrit-qutrit system under the influence of global, local and multilocal decoherence introduced by phase flip, trit flip and trit phase flip channels is investigated. The negativity and realignment criterion are used to quantify the entanglement of the system. It is shown that the entanglement sudden death and distibility sudden death can be avoided in the presence of phase flip, trit flip and trit-phase flip environments. It is shown that certain free entangled distillable qutrit states become bound entangled or separable i.e. convert into non-distillable states under different flipping noises. It is also seen that local operations do not have any effect on the entanglement dynamics of the system. Further more, no ESD and DSD is seen for the case of trit flip channel.
In this paper, we investigate the entanglement dynamics of a two-qubit entangled state coupled with its noisy environment, and plan to utilize weak measurement and quantum reversal measurement to study the entanglement dynamics under different decoherence channels in noninertial frames. Through the calculations and analyses, it is shown that the weak measurement can prevent entanglement from coupling to the amplitude damping channel, while the system is under the phase damping and flip channels. This protection protocol cannot prevent entanglement but will accelerate the death of entanglement. In addition, if the system is in the noninertial reference frame, then the effect of weak measurement will be weakened for the amplitude damping channel. Nevertheless, for other decoherence channels, the Unruh effect does not affect the quantum weak measurement, the only exception is that the maximum value of entanglement is reduced to √2/2 of the original value in the inertial frames.
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