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arXiv 1707.09617quant-ph
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最优基的最大相干性

Maximum coherence in the optimal basis

Ming-Liang Hu, Shu-Qian Shen, Heng Fan

摘要:

量子相干性的资源论度量是基依赖的,在不同的基中,一个态所包含的相干量是不同的。我们通过优化参考基获得了最大相干性的解析解,并强调了互无偏基(MUB)对实现最大相干性的重要作用。除了相干性的相对熵,我们表明,MUB是最佳的相干性的鲁棒性,相干性的权重,和修改后的偏斜信息度量的相干性的任何状态。此外,MUB是最佳的所有忠实的相干性措施,如果状态是纯的或单量子比特。我们还强调了一致性的$l_1$规范的上限,并将其与其他界限以及通过优化参考基可达到的最大界限进行了比较。

英文摘要:

The resource theoretic measure of quantum coherence is basis dependent, and the amount of coherence contained in a state is different in different bases. We obtained analytical solutions for the maximum coherence by optimizing the reference basis and highlighted the essential role of the mutually unbiased bases (MUBs) on attaining the maximum coherence. Apart from the relative entropy of coherence, we showed that the MUBs are optimal for the robustness of coherence, the coherence weight, and the modified skew information measure of coherence for any state. Moreover, the MUBs are optimal for all the faithful coherence measures if the state is pure or is of the single qubit. We also highlighted an upper bound for the $l_1$ norm of coherence and compared it with the other bounds as well as the maximum one attainable by optimizing the reference basis.

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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