论文标题
量子相关熵
Quantum correlation entropy
论文作者
论文摘要
我们研究量子粗粒熵，并证明局部和全球粗粒剂之间的熵间隙是混合状态和多部分系统的纠缠熵的自然概括。这种“量子相关熵” $ s^{\ rm qc} $在独立系统上是加性的，在本地统一操作下是不变的，衡量了总非经典相关性（在具有严格经典相关性的状态上消失了），并减少了双色纯净状态的纠缠入口处。它量化了如何通过局部测量来理解量子系统，并直接与非平衡热力学联系在一起，包括代表热力学熵产生的量子部分的下限。我们讨论了该熵等效的非经典相关性的另外两个衡量标准，并认为它们共同提供了独特的热力学区分度量。
We study quantum coarse-grained entropy and demonstrate that the gap in entropy between local and global coarse-grainings is a natural generalization of entanglement entropy to mixed states and multipartite systems. This "quantum correlation entropy" $S^{\rm QC}$ is additive over independent systems, is invariant under local unitary operations, measures total nonclassical correlations (vanishing on states with strictly classical correlation), and reduces to the entanglement entropy for bipartite pure states. It quantifies how well a quantum system can be understood via local measurements, and ties directly to non-equilibrium thermodynamics, including representing a lower bound on the quantum part of thermodynamic entropy production. We discuss two other measures of nonclassical correlation to which this entropy is equivalent, and argue that together they provide a unique thermodynamically distinguished measure.
