论文标题

熵协议:量子相关层次结构中的新措施

Entropic Accord: A new measure in the quantum correlation hierarchy

论文作者

Shajilal, Biveen, Huntington, Elanor, Lam, Ping Koy, Assad, Syed

论文摘要

量子相关通常是指在合适的测量下两个或多个局部子系统表现出的相关性。这些相关性超出了经典统计和相关的经典概率分布的框架。量子纠缠是这种相关性最著名的,并且在量子信息理论中起着重要作用。但是,存在仍然具有量子相关性的非输入状态,而经典统计数据无法描述。捕获这些非古典相关性的一种措施就是不和谐。在这里,我们介绍了一种新的量子相关性度量,我们称之为熵协议,该协议适合纠缠和不和谐之间。它被定义为两方之间投影测量结果的优化最小值互信息。我们在纠缠,熵协议和两分国家的不和谐之间存在严格的层次结构。我们研究了两个Qubit状态,该状态显示了三个熵量之间的关系。除了揭示与不和谐和纠缠不同的一类相关性外,熵协议度量在某些情况下可以固有地更直观。

Quantum correlation often refers to correlations exhibited by two or more local subsystems under a suitable measurement. These correlations are beyond the framework of classical statistics and the associated classical probability distribution. Quantum entanglement is the most well known of such correlations and plays an important role in quantum information theory. However, there exist non-entangled states that still possess quantum correlations which cannot be described by classical statistics. One such measure that captures these nonclassical correlations is discord. Here we introduce a new measure of quantum correlations which we call entropic accord that fits between entanglement and discord. It is defined as the optimised minimax mutual information of the outcome of the projective measurements between two parties. We show a strict hierarchy exists between entanglement, entropic accord and discord for two-qubit states. We study two-qubit states which shows the relationship between the three entropic quantities. In addition to revealing a class of correlations that are distinct from discord and entanglement, the entropic accord measure can be inherently more intuitive in certain contexts.

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