期刊
PHYSICS LETTERS A
卷 383, 期 8, 页码 707-717出版社
ELSEVIER
DOI: 10.1016/j.physleta.2018.11.037
关键词
Multipartite entanglement; Polynomial invariant of degree 2; Genuine multipartite concurrence
资金
- Farhangian University of Tehran
- Tabriz University
- Shabestar Branch Islamic Azad University
Characterization of the multipartite mixed state entanglement is still a challenging problem. This is due to the fact that the entanglement for the mixed states, in general, is defined by a convex-roof extension. That is the entanglement measure of a mixed state rho of a quantum system can be defined as the minimum average entanglement of an ensemble of pure states. In this paper, we show that polynomial entanglement measures of degree 2 of even-N qubits X states is in the full agreement with the genuine multipartite (GM) concurrence. Then, we plot the hierarchy of entanglement classification for four qubit pure states and then using new invariants, we classify the four qubit pure states. We focus on the convex combination of the classes whose at most the one of the invariants is non-zero and find the relationship between entanglement measures consist of non-zero-invariant, GM concurrence and one-tangle. We show that in many entanglement classes of four qubit states, GM concurrence is equal to the square root of one-tangle. (C) 2018 Elsevier B.V. All rights reserved.
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