Generalised versions of separable decompositions applicable to bipartite entangled quantum states

Generalised versions of separable decompositions applicable to bipartite entangled quantum states
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适用于二分纠缠量子态的可分离分解的广义版本

DOI:
10.1088/1367-2630/ab3adc
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发表时间:
2019
影响因子:
3.3
通讯作者:
Anwar H
Anwar H
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Anwar H

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量子理论中对可分态的研究一直受到这样一个概念的驱动,即它们是高度经典的,因为它们不表现出非定域性,并且在某些情况下无法支持非经典计算。匡威的问题,即纠缠态在多大程度上支持或不支持非经典信息处理,还不太清楚。出于这个问题的动机,我们扩展到纠缠量子态的量子可分性的概念,通过构建可分离的分解,描述它们与“最小”的非物理本地运营商的可能集合。我们考虑了几种方法来定义这个词“最小的”,并提出了获得它们的技术。这些方法涉及计算某些形式的交叉范数。这些结果显著地推广了我们以前在这个主题上的工作(2015 New J. Phys. 17 093047)中获得的结果,并且可以用于构建经典模拟方法和局域隐变量模型,用于纠缠量子态的局域测量子集。
The investigation of separable states in quantum theory has been driven by the notion that they are highly classical, in that they do not demonstrate nonlocality, and are in some contexts unable to support non-classical computation. The converse question, the extent to which entangled states do or do not support non-classical information processing, is less well understood. Motivated by this question we extend the notion of quantum separability into the entangled quantum states, by constructing separable decompositions that describe them with the'smallest'possible sets of non-physical local operators. We consider a few ways to define the word'smallest'and present techniques for obtaining them. The methods involve calculating certain forms of cross norm. The results generalise significantly the results obtained in our previous work on this topic (2015 New J. Phys. 17 093047), and can be be used to construct classical simulation methods and local hidden variable models for subsets of local measurements on entangled quantum states.
DOI: 10.1088/1367-2630/17/9/093047
发表时间: 2015
影响因子: 3.3
作者:
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