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arXiv quant-ph/0211114quant-ph
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耦合到公共热库的双模压缩真空态

Two-mode squeezed vacuum state coupled to the common thermal reservoir

Jakub S. Prauzner-Bechcicki

摘要:

纠缠态在量子信息协议中起着至关重要的作用,因此纠缠态的动力学行为具有重要的意义。在本文中,我们考虑耦合到一个热库的双模压缩真空态作为嵌入环境中的纠缠态模型。作为纠缠的标准,我们使用Peres-Horodecki标准的连续变量等价物,即西蒙标准。为了量化纠缠,我们使用对数负性。我们推导出一个条件,该条件保证了尽管与库的相互作用,状态仍然纠缠。此外,对于以真空为环境的相互作用,我们证明了在无限长的相互作用之后,感兴趣的态不仅是纠缠的,而且是纯的。为了比较,我们还考虑了一个模型,其中两种模式都耦合到自己的水库。

英文摘要:

Entangled states play a crucial role in quantum information protocols, thus the dynamical behavior of entanglement is of a great importance. In this paper we consider a two-mode squeezed vacuum state coupled to one thermal reservoir as a model of an entangled state embedded in an environment. As a criterion for entanglement we use a continuous-variable equivalent of the Peres-Horodecki criterion, namely the Simon criterion. To quantify entanglement we use the logarithmic negativity. We derive a condition, which assures that the state remains entangled in spite of the interaction with the reservoir. Moreover for the case of interaction with vacuum as an environment we show that a state of interest after intinitely long interaction is not only entangled, but also pure. For comparison we also consider a model in which each of both modes is coupled to its own reservoir.

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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