论文标题

基于亲和力的量子相干性和相关度量

Quantum coherence and correlation measures based on affinity

论文作者

Muthuganesan, R., Chandrasekar, V. K., Sankaranarayanan, R.

论文摘要

相干性和相关性是量子系统的关键特征。在量子信息处理的资源理论框架中,量化这些数量是惊人的任务。在本文中,我们确定了一个基于亲和力的度量,以量化两个状态之间的亲密关系。使用此指标,我们引入了有效的量子相干度量。结果表明,基于亲和力的相干度量是基于保真度和痕量距离的。此外,我们提出了基于亲和力度量的两分量子相关度量。建立了状态与其局部连贯性之间的量子相关性之间的联系。还确定了双方相干性和相应产物状态连贯性的量子度的度量。最后,我们将基于亲和力的连贯性的操作含义解释为量子状态干涉力的上限。

Coherence and correlation are key features of the quantum system. Quantifying these quantities are astounding task in the framework of resource theory of quantum information processing. In this article, we identify an affinity-based metric to quantify closeness between two states. Using this metric, we introduce a valid quantum coherence measure. It is shown that the affinity based coherence measure is bounded by that based on fidelity and trace distance. Further, we propose a bipartite quantum correlation measure based on the affinity metric. The connection between the quantum correlation of states and its local coherence is established. The measure of quantumness in terms of difference of bipartite coherence and corresponding product state coherence is also identified. Finally, we interpret the operational meaning of the affinity based coherence as an upper bound of interferometric power of the quantum state.

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