论文标题

量子速度限制时间:连贯性的作用

Quantum speed limit time: role of coherence

论文作者

Paulson, K. G., Banerjee, Subhashish

论文摘要

估计非马克维亚量子通道之间的多量量子状态之间的最小演化时间。我们将最大相干的纯净状态和混合状态以及多Qubit $ x $状态视为初始状态,并讨论了初始连贯性以及连贯性对其进化速度的影响,以实现逐渐变化和耗散过程。量子速度限制时间的流动($τ_{QSL} $)揭示了在信息回流条件下初始相干性在非空耗散过程中的非零值的作用。在速度限制时间上混合性与连贯性之间的权衡表明了各州所经历的量子过程的性质。混合性与连贯性之间的互补效应在量子非积极耗散过程中更为突出。速度限制时间的参数轨迹生动地描述了纯初始状态的演变差异,这可以用来区分这项工作中研究的大学和非积体通道。我们对多Qubit纠缠$ x $状态的量子速度限制时间的调查表明,$τ_{QSL} $可以确定为在演变过程中区分多Qubit状态的潜在动态证人。

The minimum evolution time between multi-qubit quantum states is estimated for non-Markovian quantum channels. We consider the maximally coherent pure and mixed states as well as multi-qubit $X$ states as initial states and discuss the impact of initial coherence and the behaviour of coherence on their speed of evolution for both dephasing and dissipative processes. The role of the non-zero value of initial coherence under information backflow conditions for the non-unital dissipative process is revealed by the flow of quantum speed limit time ($τ_{QSL}$). The trade-off between mixedness and coherence on the speed limit time reveals the nature of the quantum process the states undergo. The complementarity effect between mixedness and coherence is more prominent in the quantum non-unital dissipation process. The parametric trajectory of speed limit time vividly depicts the difference in the evolution of pure and mixed initial states, and this could be used to distinguish between the unital and non-unital channels studied in this work. Our investigation of quantum speed limit time on multi-qubit entangled $X$ states reveals that $τ_{QSL}$ can be identified as a potential dynamical witness to distinguish multi-qubit states in the course of evolution.

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