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arXiv 2006.08822quant-ph
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可用状态的最佳近似和三重测不准关系

Optimal approximations of available states and a triple uncertainty relation

Xiao-Bin Liang, Bo Li, Liang Huang, Biao-Liang Ye, Shao-Ming Fei, Shi-Xiang Huang

摘要:

研究了量子态关于一组可用态的最佳凸逼近。通过等距变换,给出了一般的数学模型及其解,并给出了一个三重测不准等式关系。同时,我们给出了一个简洁的分解量子比特混合态的不等式判据。新的结果包括以前的作为特殊情况。我们的模型和方法可以应用于解决高维和多体场景中的类似问题

英文摘要:

We investigate the optimal convex approximation of the quantum state with respect to a set of available states. By isometric transformation, we have presented the general mathematical model and its solutions together with a triple uncertainty equality relation. Meanwhile, we show a concise inequality criterion for decomposing qubit mixed states. The new results include previous ones as special cases. Our model and method may be applied to solve similar problems in high-dimensional and multipartite scenarios

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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