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arXiv 0709.4284quant-ph
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有限维量子系统的压缩形式

A squeezing formalism for finite dimensional quantum systems

M. Ruzzi

摘要:

本文给出了有限向量空间中量子系统的压缩变换。这里的压缩的物理概念取自通常的压缩算子对定义在实直线上的波函数的作用,即能够减小(或增强)中心分布的均方差的变换。正如所讨论的那样,有限维向量空间上这样一个算符的定义并不是一件小事,但另一方面,它与诸如自旋压缩和(有限)量子态再现等问题有着明显的联系。

英文摘要:

This article presents a squeezing transformation for quantum systems associated to finite vector spaces. The physical idea of squeezing here is taken from the action of the usual squeezing operator over wave functions defined on a real line, that is, a transformation capable to diminish (or enhance) the mean square deviation of a centered distribution. As it is discussed, the definition of such an operator on finite dimensional vector spaces is not a trivial matter, but, on the other hand, has obvious connections with problems such as spin squeezing and (finite) quantum state reproduction.

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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