热态的允许和禁止二分关联
Allowed and Forbidden Bipartite Correlations from Thermal States
摘要：
相关性和量子热力学之间的紧密联系提出了一个自然的问题，即如何从两个热量子比特的副本中制备相关的量子态。在这项工作中，我们研究的具体形式的允许和禁止的二分相关。因此，我们将结果扩展到可分离（SEP），但不是绝对可分离（AbSEP）类的产品状态。研究了从任意热量子比特中制备一般形式的纠缠，作为应用，我们提出了一种在两个远距离方之间建立持续纠缠的策略。从资源理论的角度讨论了两个热量子比特产生纠缠的阈值温度，这确保了温度上的界限可以在资源态的帮助下被取代。导出了一个依赖于温度的维数上界，在这个上界之下，任意d维热态的两个副本可以在2xd维纠缠。
英文摘要：
The strong connection between correlations and quantum thermodynamics raises a natural question about the preparation of correlated quantum states from two copies of a thermal qubit. In this work we study the specific forms of allowed and forbidden bipartite correlations. As a consequence, we extend the result to Separable (SEP) but not Absolutely Separable (AbSEP) class of product states. Preparation of a general form of entanglement from arbitrary thermal qubits is studied and as an application we propose a strategy to establish sustained entanglement between two distant parties. The threshold temperature to produce entanglement from two copies of a thermal qubit has also been discussed from the resource theoretic perspective, which ensures that the bound on the temperature can be superseded with the help of a resource state. A dimension dependent upper-bound on the temperature is derived, below which two copies of any d-dimensional thermal state can be entangled in 2xd dimension.
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