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arXiv 1806.09889quant-ph
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序列观测者对量子相干性非定域优势的共享

Sharing of Non-Local Advantage of Quantum Coherence by sequential observers

Shounak Datta, A. S. Majumdar

摘要:

量子相干性的非局域优势或局域量子相干性的可操纵性是一种基于相干互补关系的强非局域资源。在这项工作中,我们提供了一个上限的观察者的数量可以独立地引导的相干性的观察者在另一个翅膀的情况下,纠缠对自旋$\frac{1}{2}$粒子的一半是共享之间的一个观察者(鲍勃)在一个翅膀和几个观察者(爱丽丝)在其他,谁可以顺序和相互独立地采取行动。我们考虑单参数二分法POVM的爱丽丝和相互无偏的基础,其中鲍勃措施的情况下的最大纠缠的二分量子比特状态的相干性。我们发现,不超过两个爱丽丝可以表现NAQC时,$l_1$ -规范的相干性措施进行了探讨,而对于其他两个措施的相干性,只有一个爱丽丝可以揭示NAQC在同一框架内。

英文摘要:

Non-local Advantage of Quantum Coherence(NAQC) or steerability of local quantum coherence is a strong non-local resource based on coherence complementarity relations. In this work, we provide an upper bound on the number of observers who can independently steer the coherence of the observer in the other wing in a scenario where half of an entangled pair of spin-$\frac{1}{2}$ particles is shared between a single observer (Bob) in one wing and several observers (Alices) on the other, who can act sequentially and independently of each other. We consider one-parameter dichotomic POVMs for the Alices and mutually unbiased basis in which Bob measures coherence in case of the maximally entangled bipartite qubit state. We show that not more than two Alices can exhibit NAQC when $l_1$-norm of coherence measure is probed, whereas for two other measures of coherence, only one Alice can reveal NAQC within the same framework.

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