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arXiv 1911.03399quant-ph
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匀加速下W类态的四体纠缠特性

Tetrapartite entanglement features of W-Class state in uniform acceleration

Qian Dong, Ariadna J. Torres-Arenas, Guo-Hua Sun, Shi-Hai Dong

备注：
8 pages, 6 figures
发表信息：
Frontier of Physics, 2019
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摘要：

在单模近似下，我们首先计算了非惯性系中四体W类系统的纠缠度（$1-3$和$1-1$纠缠度）和von Neumann熵，然后分析了纠缠度的整体度量、纠缠度的剩余$π_{4}$和纠缠度的几何$Π_{4}$平均.请注意，$π_{4}$和$Π_{4}$之间的差异非常小，或者随着加速观察者的增加而消失。比较了单加速观测者和四加速观测者情况下的纠缠特性。结果表明，即使加速度$r$趋于无穷大，整个系统仍然存在纠缠。当加速度为$r > 0. 472473$时，$1-1$缠结情形的缠结度消失。我们重新研究了非惯性系中的Unruh效应。结果表明，仅加速一个量子比特的纠缠系统比加速两个、三个或四个量子比特的纠缠系统具有更强的鲁棒性。研究还发现，整个系统的von Neumann熵$S$总是随加速观测器数目的增加而增加，但对于两个和三个非惯性量子比特的$S_{κξ}$和$S_{κζδ}$随加速参数$r$先{ \it增加}后{ \it减小}，但对于零非惯性量子比特，它们分别等于常数$1$和$0. 811278$.

英文摘要：

Using the single-mode approximation, we first calculate entanglement measures such as negativity ($1-3$ and $1-1$ tangles) and von Neumann entropy for a tetrapartite W-Class system in noninertial frame and then analyze the whole entanglement measures, the residual $π_{4}$ and geometric $Π_{4}$ average of tangles. Notice that the difference between $π_{4}$ and $Π_{4}$ is very small or disappears with the increasing accelerated observers. The entanglement properties are compared among the different cases from one accelerated observer to four accelerated observers. The results show that there still exists entanglement for the complete system even when acceleration $r$ tends to infinity. The degree of entanglement is disappeared for the $1-1$ tangle case when the acceleration $r > 0. 472473$. We reexamine the Unruh effect in noninertial frames. It is shown that the entanglement system in which only one qubit is accelerated is more robust than those entangled systems in which two or three or four qubits are accelerated. It is also found that the von Neumann entropy $S$ of the total system always increases with the increasing accelerated observers, but the $S_{κξ}$ and $S_{κζδ}$ with two and three involved noninertial qubits first {\it increases} and then {\it decreases} with the acceleration parameter $r$, but they are equal to constants $1$ and $0. 811278$ respectively for zero involved noninertial qubit.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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