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arXiv 1804.04517quant-ph
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高维态中量子相干性的非局域优势

Nonlocal advantage of quantum coherence in high-dimensional states

Ming-Liang Hu, Heng Fan

摘要:

通过对系统$AB$中的一方$A$进行局域测量,并在两方之间进行经典通信,可以在另一方$B$上实现量子相干性的非局域优势.对于相干性的$l_1$范数和相干性的相对熵,我们推广了双量子比特的NAQC框架,并导出了当$d$是素数的幂时,在$(d\times d)$维态中捕获NAQC的判据.我们还提出了一个新的框架来制定NAQC,并通过明确的例子显示其能力,捕捉NAQC状态。此外,我们还证明了任何具有NAQC的二体态都是量子纠缠的,因此所得到的判据也可以作为一个纠缠见证。

英文摘要:

By local measurements on party $A$ of a system $AB$ and classical communication between its two parties, one can achieve a nonlocal advantage of quantum coherence (NAQC) on party $B$. For the $l_1$ norm of coherence and the relative entropy of coherence, we generalized the framework of NAQC for two qubits and derived the criteria which capture NAQC in the $(d\times d)$-dimensional states when $d$ is a power of a prime. We also presented a new framework for formulating NAQC, and showed through explicit examples its capacity on capturing the NAQC states. Moreover, we proved that any bipartite state with NAQC is quantum entangled, thus the obtained criteria can also be used as an entanglement witness.

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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