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Triangle Measure of Tripartite Entanglement
Physical Review Letters ( IF 8.1 ) Pub Date : 2021-07-23 , DOI: 10.1103/physrevlett.127.040403 Songbo Xie 1 , Joseph H Eberly 1
Physical Review Letters ( IF 8.1 ) Pub Date : 2021-07-23 , DOI: 10.1103/physrevlett.127.040403 Songbo Xie 1 , Joseph H Eberly 1
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Although genuine multipartite entanglement has already been generated and verified by experiments, most of the existing measures cannot detect genuine entanglement faithfully. In this work, by exploiting for the first time a previously overlooked constraint for the distribution of entanglement in three-qubit systems, we reveal a new genuine tripartite entanglement measure, which is related to the area of a so-called concurrence triangle. It is compared with other existing measures and is found superior to previous attempts for different reasons. A specific example is illustrated to show that two tripartite entanglement measures can be inequivalent due to the high dimensionality of the Hilbert space. The properties of the triangle measure make it a candidate in potential quantum tasks and available to be used in any multiparty entanglement problems.
中文翻译：
三方纠缠的三角测度
虽然真正的多方纠缠已经产生并被实验验证，但现有的大多数措施都不能忠实地检测出真正的纠缠。在这项工作中，通过首次利用先前被忽视的三量子位系统中纠缠分布的约束，我们揭示了一种新的真正的三方纠缠度量，它与所谓的并发三角形的面积有关。将其与其他现有措施进行比较，发现由于不同原因而优于以前的尝试。举例说明了由于希尔伯特空间的高维数，两个三方纠缠测度可能是不等价的。三角测度的特性使其成为潜在量子任务的候选者，并可用于任何多方纠缠问题。
更新日期：2021-07-23
中文翻译：
三方纠缠的三角测度
虽然真正的多方纠缠已经产生并被实验验证，但现有的大多数措施都不能忠实地检测出真正的纠缠。在这项工作中，通过首次利用先前被忽视的三量子位系统中纠缠分布的约束，我们揭示了一种新的真正的三方纠缠度量，它与所谓的并发三角形的面积有关。将其与其他现有措施进行比较，发现由于不同原因而优于以前的尝试。举例说明了由于希尔伯特空间的高维数，两个三方纠缠测度可能是不等价的。三角测度的特性使其成为潜在量子任务的候选者，并可用于任何多方纠缠问题。
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