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arXiv 2105.03097quant-ph
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基于相干性的三比特GHZ与W类判别不等式

Coherence based inequality for the discrimination of three-qubit GHZ and W class

Pranav Kairon, Mukhtiyar Singh, Satyabrata Adhikari

摘要:

量子相干性和纠缠起源于叠加原理。我们推导出一个严格的关系之间的${l_1}$规范的一致性和并发性,我们表明,前者总是大于后者。这一结果突出了连贯性和并发性之间的层次关系,并证明连贯性是一个基本的和普遍存在的资源。基于一类特殊的三量子比特态的约化双量子比特和约化单量子比特的部分相干性,我们导出了一夫一妻不等式的类似形式。此外,我们还给出了基于相干性的三比特GHZ类和W类态的分类不等式。最后,我们提供了理论上的讨论,在实验中的方案的可能实施。

英文摘要:

Quantum coherence and entanglement orignate from the superposition principle. We derive a rigorous relation between the ${l_1}$-norm of coherence and concurrence, in that we show that the former is always greater than the latter. This result highlights the hierarchical relationship between coherence and concurrence, and proves coherence to be a fundamental and ubiquitous resource. We derive an analogous form of monogamy inequality which is based on the partial coherence of the reduced two-qubit and reduced single qubit of the particular class of three-qubit state. Moreover, we provide coherence based inequality for the classification of GHZ class and W class of three-qubit states. Finally, we provide theoretical discussion for the possible implementation of the scheme in an experiment.

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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