https://doi.org/10.1140/epjp/s13360-023-04259-9
Regular Article
A new entanglement measure based dual entropy
1
The School of Information Science and Technology, Southwest Jiaotong University, 610031, Chengdu, China
2
The School of Computer and Network Security, Chengdu University of Technology, 610059, Chengdu, China
Received:
26
October
2022
Accepted:
6
July
2023
Published online:
26
July
2023
Quantum entropy is an important measure for describing the uncertainty of a quantum state, more uncertainty in subsystems for pure states implies stronger quantum entanglement between subsystems. Our goal in this work is to quantify bipartite entanglement and quantum entangled networks using quantum dual entropy. We first propose a type of dual entropy from Shannon entropy. We define 
-entropy entanglement based on von Neumann entropy and its complementary dual. This implies an analytic formula for two-qubit systems. We show that the monogamy properties of the -entropy entanglement and the entanglement of formation (EOF) are inequivalent with -entropy entanglement for quantum entangled networks. We finally prove a new type of entanglement polygon inequality in terms of -entropy entanglement for quantum entangled networks. These results show new features of multipartite entanglement in quantum information processing.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
