Complete $k$-partite entanglement measure

• URL: http://arxiv.org/abs/2503.16178v2
• Date: Wed, 16 Apr 2025 09:29:08 GMT
• Title: Complete $k$-partite entanglement measure
• Authors: Jinxing Zhao, Yu Guo, Fei He,
• Abstract summary: The $k$-partite entanglement focuses on how many particles in the global system are entangled but separable from other particles.<n>The theory of the complete $k$-entanglement measure has been established in [Phys. Rev. A 110, 012405 (2024)<n>We present two classes of $k$-partite entanglement measures and discuss the completeness of them as illustrations.
• Score: 5.554697651950127
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: The $k$-partite entanglement, which focus on at most how many particles in the global system are entangled but separable from other particles, is complementary to the $k$-entanglement that reflects how many splitted subsystems are entangled under partitions of the systems in characterizing multipartite entanglement. Very recently, the theory of the complete $k$-entanglement measure has been established in [Phys. Rev. A 110, 012405 (2024)]. Here we investigate whether we can define the complete measure of the $k$-partite entanglement. Consequently, with the same spirit as that of the complete $k$-entanglement measure, we present the axiomatic conditions that a complete $k$-partite entanglement measure should require. Furthermore, we present two classes of $k$-partite entanglement measures and discuss the completeness of them as illustrations.

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