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A new entanglement measure based on one-side ONCB projection measurement

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Abstract

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 \(E(\rho )\). It is proven that \(E(\rho )\) 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 \(E(\rho )\) for bipartite quantum states.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors comment: Data sharing is not applicable to this study since no datasets are generated or analyzed in the current study.]

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Authors and Affiliations

  1. School of Applied Science, Taiyuan University of Science and Technology, Taiyuan, 030024, People’s Republic of China

    Junqing Li, Li Huang, Yinzhu Wang & Shijie Cui

Authors
  1. Junqing Li
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  2. Li Huang
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  3. Yinzhu Wang
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  4. Shijie Cui
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Contributions

All authors contribute equally.

Corresponding author

Correspondence to Li Huang.

Additional information

This work is supported by the Natural Science Foundation of Shanxi Province, China (Grant Nos. 201901D111254, 201801D221019). .

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Li, J., Huang, L., Wang, Y. et al. A new entanglement measure based on one-side ONCB projection measurement. Eur. Phys. J. D 76, 203 (2022). https://doi.org/10.1140/epjd/s10053-022-00534-z

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