论文标题

打破纠缠频道的破裂时间的界限

Bounds on the breaking time for entanglement-breaking channels

论文作者

Sakuldee, Fattah, Rudnicki, Łukasz

论文摘要

纠缠破裂的通道是将纠缠状态转换为可分离状态的量子通道。尽管在文献中详细讨论了它们的运营结构,但有关此类型地图的动态特征的研究仍有限。我们考虑一个基本问题之一:对于lindblad型动力学,给定的频道断裂纠缠何时?我们讨论了利用通过纠缠证人进行纠缠量化的有限维情况。对于一般设置,我们使用量子速度限制的方法来根据输入状态,动力学映射和证人操作员来得出纠缠破坏时间的下限。然后,有了特定的输入状态和纠缠见证人的选择,打破时间的界限仅反映了动力学的特征。

Entanglement-breaking channels are quantum channels transforming entangled states to separable states. Despite a detailed discussion of their operational structure, to be found in the literature, studies on dynamical characteristics of this type of maps are yet limited. We consider one of the basic questions: for Lindblad-type dynamics, when does a given channel break entanglement? We discuss the finite-dimensional case where the quantification of entanglement via entanglement witnesses is utilized. For the general setup, we use the method of quantum speed limit to derive lower bounds on entanglement breaking times in terms of an input state, the dynamical map and the witness operator. Then, with a particular choice of the input state and the entanglement witness, the bounds for the breaking time are turned to solely reflect the characteristics of the dynamics.

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