We study dynamics of local quantum uncertainty (LQU) for a system of two cavities and two reservoirs. In the start, the cavities are treated as two qubits which are quantum correlated with each other, whereas reservoirs (also qubits) are neither correlated with each other nor with cavities. We answer two main questions in this work. First, how local quantum uncertainty decays from two quantum correlated cavities and grows among reservoirs. The second question is the examination of LQU developed among four qubits and also shed some light on its dynamics. We observe that LQU develops among reservoirs as kind of mirror image to its decay from cavities. For four qubits, we propose how to compute LQU such that the method is intuitive and analytically computable. We find that among four qubits, LQU starts growing from zero to some maximum value and then decays again to zero as the asymptotic state of cavities is completely transferred to reservoirs. We suggest the experimental setup to implement our results.

中文翻译：

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腔-库量子比特之间的局部量子不确定性动力学

我们研究了一个由两个腔和两个水库组成的系统的局部量子不确定性 (LQU) 动力学。一开始，空腔被视为彼此量子相关的两个量子比特，而储存器（也是量子比特）既不相互关联也不与空腔相关。我们在这项工作中回答了两个主要问题。首先，局部量子不确定性如何从两个量子相关的空腔中衰减并在储层之间增长。第二个问题是对四个量子位之间开发的 LQU 的检查，并对其动力学有所了解。我们观察到 LQU 在储层中发展，就像它从空洞中衰减的镜像一样。对于四个量子比特，我们提出了如何计算 LQU，以使该方法直观且可分析计算。我们发现在四个量子位中，LQU 开始从零增长到某个最大值，然后随着空腔的渐近状态完全转移到储层，再次衰减到零。我们建议实验设置来实现我们的结果。