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arXiv 0709.1266quant-ph
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LU-LC猜想是错误的

The LU-LC conjecture is false

Zhengfeng Ji, Jianxin Chen, Zhaohui Wei, Mingsheng Ying

摘要:

LU-LC猜想是一个重要的公开问题,它涉及稳定子形式描述的纠缠态的结构。指出两个局域么正等价的稳定子态也是局域Clifford等价的。如果这个猜想是正确的,那么稳定态的局域等价性就非常容易刻画。然而,不幸的是,根据Gross和Van den Nest最近取得的进展,我们发现这个猜想是错误的。

英文摘要:

The LU-LC conjecture is an important open problem concerning the structure of entanglement of states described in the stabilizer formalism. It states that two local unitary equivalent stabilizer states are also local Clifford equivalent. If this conjecture were true, the local equivalence of stabilizer states would be extremely easy to characterize. Unfortunately, however, based on the recent progress made by Gross and Van den Nest, we find that the conjecture is false.

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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