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arXiv quant-ph/0207058quant-ph
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多体纠缠态的组合拓扑

Combinatorial Topology Of Multipartite Entangled States

Roman R. Zapatrin

摘要:

一个多体量子系统的任何态都与它的可分性多面体相联系。这是一个代数拓扑对象(非平凡的,只为混合状态),它捕捉本地化的纠缠状态。明确提供了3-partite系统的可分性多面体的具体例子。事实证明,纠缠的这种特征与1-和2-量子比特门对任意幺正操作的模拟有关。在这种模拟过程中的纠缠如何变化的拓扑描述。

英文摘要:

With any state of a multipartite quantum system its separability polytope is associated. This is an algebro-topological object (non-trivial only for mixed states) which captures the localisation of entanglement of the state. Particular examples of separability polytopes for 3-partite systems are explicitly provided. It turns out that this characterisation of entanglement is associated with simulation of arbitrary unitary operations by 1- and 2-qubit gates. A topological description of how entanglement changes in course of such simulation is provided.

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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