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arXiv quant-ph/0505110quant-ph
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量子非信号盒

On quantum non-signalling boxes

M. Piani, M. Horodecki, P. Horodecki, R. Horodecki

摘要:

经典的非信号(或因果)盒是对经典的二分输入和经典的二分输出的操作,使得没有信号可以通过使用盒从一方发送到另一方。这种盒子的量子对应物,即二分态上的完全正的保迹映射,虽然在文献中有研究,但研究的程度不如经典盒子。本文给出了这类映射的一些结果和注记。特别是,我们分析:因果性、非定域性和纠缠性之间的关系;因果映射和纠缠破缺映射之间的联系;因果映射的固定归约状态分类刻画。我们还提供了新的证据的事实,即每一个非产品的酉变换是不是因果关系,以及所谓的半因果性和半局部化属性的等价性。

英文摘要:

A classical non-signalling (or causal) box is an operation on classical bipartite input with classical bipartite output such that no signal can be sent from a party to the other through the use of the box. The quantum counterpart of such boxes, i.e. completely positive trace-preserving maps on bipartite states, though studied in literature, have been investigated less intensively than classical boxes. We present here some results and remarks about such maps. In particular, we analyze: the relations among properties as causality, non-locality and entanglement; the connection between causal and entanglement breaking maps; the characterization of causal maps in terms of the classification of states with fixed reductions. We also provide new proofs of the fact that every non-product unitary transformation is not causal, as well as for the equivalence of the so-called semicausality and semilocalizability properties.

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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