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Journal of Modern Optics

Decay of two-qubit correlations in the squeezed Bloch channel

Masashi Ban

Published Mar 20, 2012• 3 citations
Publisher

Abstract

The decay of correlations between two qubits under the influence of a squeezed thermal reservoir is investigated by means of the quantum master equation in the Born–Markov approximation. To find the effect of the reservoir squeezing on the two-qubit correlations, concurrence, quantum discord, classical correlation and total correlation are calculated for the X-states. It is found that, except for quantum discord, the reservoir squeezing always suppresses the decay of the correlations during the time evolution. On the other hand, for quantum discord, the reservoir squeezing enhances the decay in the initial and intermediate time regions while it reduces the decay in the long time region.

DOI
10.1080/09500340.2012.672663

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The decay of correlations between two qubits under the influence of a squeezed thermal reservoir is investigated by means of the quantum master equation in the Born–Markov approximation. To find the effect of the reservoir squeezing on the two-qubit correlations, concurrence, quantum discord, classical correlation and total correlation are calculated for the X-states. It is found that, except for quantum discord, the reservoir squeezing always suppresses the decay of the correlations during the time evolution. On the other hand, for quantum discord, the reservoir squeezing enhances the decay in the initial and intermediate time regions while it reduces the decay in the long time region.
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The dynamics of quantum discord is studied in a system of two identical noninteracting qubits coupled to a common squeezed vacuum bath through non-demolition interactions. We concern on how reservoir squeezing influences the dynamical behaviors of quantum discord when both qubits are initially prepared in XXX-type states. We find that the critical time exhibits the sudden change of quantum discord, which is of great significance for the quantum discord amplification. Furthermore, depending on the initial parameters of the system, we numerically calculate the interval when the critical time is finite or infinite. For the finite critical time, we show that the squeezing phase of the bath can prolong the critical time while the squeezing strength exhibits the opposite effect. For infinite critical time, even if there is no sudden transition point, reservoir squeezing still has an effect on the amplification of quantum discord, and the time to reach steady-state quantum discord can be changed by adjusting the squeezing parameters. Fianlly, we investigate the quantum speed limit time for a two-qubit system under squeezed reservoir, and find that the quantum speed limit time can be reduced via the adjustment of the squeezing parameters and the initial parameters. Remarkably, in the short time limit, reservoir squeezing has an obvious influence on the degree of amplification of quantum discord. Our study presents a promising approach to controlling the amplification of quantum correlation.
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We examine the behavior of quantum discord in a scenario where two identical noninteracting qubits interact with a shared squeezed environment at zero temperature. Our focus lies on how the squeezing of the reservoir impacts the evolution of quantum discord when both qubits are initially in XXX-type states. We observe that there exists a critical time tc{t}_{c}tc​ at which quantum discord undergoes a sudden change, a phenomenon crucial for quantum discord amplification. Furthermore, through numerical analysis, we determine the range of parameters where tc{t}_{c}tc​ is finite or infinite. In cases where tc{t}_{c}tc​ is finite, we demonstrate that increasing the squeezing phase of the bath can extend tc{t}_{c}tc​, while increasing the squeezing strength has the opposite effect. Even in situations where tc{t}_{c}tc​ is infinite and there is no sudden changes in the correlations, reservoir squeezing still influences quantum discord amplification, allowing adjustment of squeezing parameters to alter the time taken to reach steady-state quantum discord. Furthermore, in the short-time regime, reservoir squeezing significantly impacts the degree of quantum discord amplification. Notably, we explore the quantum speed limit time for a two-qubit system under a squeezed reservoir, finding that it can be decreased by adjusting both squeezing and the initial parameters. Our investigation offers a promising avenue for controlling quantum correlation amplification and the quantum speed limit.
Time evolutions of quantum correlation, classical correlation and total correlation of two qubits are investigated when the two qubits are placed under the influence of classical phase fluctuations with correlation. Stochastic variables that describe the phase fluctuations are correlated and subject to the stationary Gauss–Markov process. The model includes the local and global dephasing models. It is shown that the quantum correlation measured by the quantum discord is increased by the correlation between the stochastic variables in the initial time region while the classical correlation and the total correlation are not. Furthermore the entanglement, the optimal fidelity of the quantum teleportation and the violation of the Bell inequality are investigated.
In this paper we examine the decay of quantum correlations for the radiation field in a two-mode squeezed thermal state in contact with local thermal reservoirs. Two measures of the evolving quantum correlations between the modes are compared: the entanglement of formation and the quantum discord. We derive analytic expressions of the entanglement-death time in two special cases: when the reservoirs for each mode are identical, as well as when a single reservoir acts on the first mode only. In the latter configuration, we show that all the pure Gaussian states lose their entanglement at the same time, determined solely by the field-reservoir coupling. Also investigated is the evolution of the Gaussian quantum discord for the same choices of thermal baths. We notice that the discord can increase in time above its initial value in a special situation, namely, when the input state is mixed, and local measurements are performed on the attenuated mode. This enhancement of discord is stronger for zero-temperature reservoirs and increases with the input degree of mixing.