几何相干性的权衡关系

Bingyu Hu, Ming-Jing Zhao
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引用次数: 0

摘要

量子相干性是一种重要的量子资源,与各个研究领域密切相关。几何相干性是操作上和几何上的相干性度量。研究了量子比特系统中几何相干性的权衡关系。我们首先通过量子态的纯度推导出几何相干的上界。在此基础上,建立了量子相干性与混合性的互补关系。然后,我们分别在两个和三个一般测量基础上根据不相容推导出几何相干的量子不确定性关系,这些不确定性关系对于纯态是状态无关的。这些权衡关系提供了量子相干量的限制。作为副产物,建立了鉴别纯态系综的最小误差概率与量子态混合之间的互补关系。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Trade-off relations of geometric coherence
Abstract Quantum coherence is an important quantum resource and it is intimately related to various research fields. The geometric coherence is a coherence measure both operationally and geometrically. We study the trade-off relation of geometric coherence in qubit systems. We first derive an upper bound for the geometric coherence by the purity of quantum states. Based on this, a complementarity relation between the quantum coherence and the mixedness is established. We then derive the quantum uncertainty relations of the geometric coherence on two and three general measurement bases in terms of the incompatibility respectively, which turn out to be state-independent for pure states. These trade-off relations provide the limit to the amount of quantum coherence. As a byproduct, the complementarity relation between the minimum error probability for discriminating a pure-states ensemble and the mixedness of quantum states is established.
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