Triangle Measure of Tripartite Entanglement

Songbo Xie and Joseph H. Eberly
Phys. Rev. Lett. 127, 040403 – Published 23 July 2021

Abstract

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.

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  • Received 24 December 2020
  • Accepted 22 June 2021

DOI:https://doi.org/10.1103/PhysRevLett.127.040403

© 2021 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & TechnologyGeneral Physics

Authors & Affiliations

Songbo Xie* and Joseph H. Eberly

  • Center for Coherence and Quantum Optics, and Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627, USA

  • *sxie9@ur.rochester.edu

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Issue

Vol. 127, Iss. 4 — 23 July 2021

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