https://doi.org/10.1140/epjd/s10053-022-00534-z
Regular Article – Quantum Information
A new entanglement measure based on one-side ONCB projection measurement
School of Applied Science, Taiyuan University of Science and Technology, 030024, Taiyuan, People’s Republic of China
Received:
9
July
2022
Accepted:
17
October
2022
Published online:
28
October
2022
Entanglement measure is an important index for computing quantum entanglement. At present, a considerable number of entanglement measures have been proposed. In this study, an entanglement measure for bipartite quantum states in accordance with one-side ONCB (orthogonal normalization complete basis) projection measurement is presented. This study suggests that the measure is well-defined. This measure is expressed as . It is proven that
satisfies some necessary properties of quantum entanglement measure (e.g., non-negativity, invariance under local unitary operation, as well as monotonicity under local operation and classical communication (LOCC)). Furthermore, we give a upper bound and a lower bound of
for bipartite quantum states.
This work is supported by the Natural Science Foundation of Shanxi Province, China (Grant Nos. 201901D111254, 201801D221019). .
Copyright comment 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.
© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2022. 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.