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arXiv quant-ph/0510068quant-ph
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几何相变:数学抽象的直接测量

Geometric Phase Transition: direct measurement of a mathematical abstraction

Daniel Cavalcanti, Fernando G. S. L. Brandao, Marcelo O. Terra Cunha

摘要:

通过将纠缠看作一种态函数,一种新的相变发生了:几何相变。这种现象的发生是由于纠缠态集形状的奇异性。它示出了如何可以进行这个结果,以提供更好地理解纠缠的几何形状。令人惊讶的是,这项研究可以通过实验来完成,这使得在实际实验中可以确定不同纠缠态集的形状,这是一个纯粹的数学定义。

英文摘要:

By viewing entanglement as a state function, a new kind of phase transition takes place: the geometric phase transition. This phenomenon occurs due to singularities in the shape of the entangled states set. It is shown how this result can be carried to provide a better understanding of the geometry of entanglement. Surprisingly, this study can be done experimentally, what allows to determine the shape of different entangled states sets, a purely mathematical definition, in real experiments.

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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