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arXiv 1609.08407quant-ph
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有限维量子系统的反量子化器和量子化器的最小集

Minimal sets of dequantizers and quantizers for finite-dimensional quantum systems

P. Adam, V. A. Andreev, A. Isar, M. A. Man'ko, V. I. Man'ko

摘要:

考虑了有限维量子系统中用于算子映射到函数上的去量子化子和量子化子的最小集的寻找和刻画问题。确定了这类集合的一般性质。给出了量子比特系统中解量子化器和量子化器的所有最小自对偶集的显式描述。给出了一些已知的逆量化器和量化器集合之间的联系以及所导出的公式。

英文摘要:

The problem of finding and characterizing minimal sets of dequantizers and quantizers applied in the mapping of operators onto functions is considered, for finite-dimensional quantum systems. The general properties of such sets are determined. An explicit description of all the minimum self-dual sets of dequantizers and quantizers for a qubit system is derived. The connection between some known sets of dequantizers and quantizers and the derived formulae is presented.

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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