无限维量子系统上并发的单配性
Monogamy of the Concurrence for Infinite-Dimensional Systems
DOI: 10.12677/aam.2024.133100, PDF,   
作者: 穆志琴, 段周波*：太原理工大学数学学院，山西 太原
关键词: 并发；单配性；无限维；Concurrence； Monogamy； Infinite-Dimensional
摘要: 我们证明了在纯两体态上约化密度矩阵的严格凹函数给出的任何纠缠测度在纯三体态上都是单配性的。这包括一类重要的两体纠缠测度，它约化为纠缠的(冯·诺依曼)熵。此外，我们证明了无限维并发测度在纯三体态上是单配的，在混合三体态上也是单配的。为了证明我们的结果，我们使用了最近提出的无不等式纠缠的单配性的定义[Gour和Guo，Quantum 2，81 (2018)]。我们的结果促进了纠缠的单配性是量子纠缠的一个属性，而不是纠缠的一些特定测度的属性的概念。
Abstract: We show that any measure of entanglement that on pure bipartite states is given by a strictly concave function of the reduced density matrix is monogamous on pure tripartite states. This includes the important class of bipartite measures of entanglement that reduce to the (von Neumann) entropy of entanglement. Moreover, we show that infinite-dimensional concurrence is monogamous on pure tripartite and mixed tripartite states. To prove our results, we use the definition of monogamy without inequalities, recently put forward [Gour and Guo, Quantum 2, 81 (2018)]. Our results promote the concept that monogamy of entanglement is a property of quantum entanglement and not an attribute of some particular measures of entanglement.
文章引用：穆志琴, 段周波. 无限维量子系统上并发的单配性[J]. 应用数学进展, 2024, 13(3): 1058-1066. https://doi.org/10.12677/aam.2024.133100

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