A New Entanglement Measure Based on the Total Concurrence

Abstract Quantum entanglement is a crucial resource in quantum information processing, advancing quantum technologies. The greater the uncertainty in subsystems' pure states, the stronger the quantum entanglement between them. From the dual form of ‐concurrence () we introduce the total concurrence. A bona fide measure of quantum entanglement is introduced, the ‐concurrence (), which is based on the total concurrence. Analytical lower bounds for the ‐concurrence are derived. In addition, an analytical expression is derived for the ‐concurrence in the cases of isotropic and Werner states. Furthermore, the monogamy relations that the ‐concurrence satisfies for qubit systems are examined. Additionally, based on the parameterized ‐concurrence and its complementary dual, the ‐concurrence is also proposed.

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Publication Details

Journal
Advanced Quantum Technologies
Published
2025-04-21
DOI
https://doi.org/10.1002/qute.202500149
Citations
2
Primary Topic
Quantum Information and Cryptography
Type
article
Field-Weighted Citation Impact
4.96
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A New Entanglement Measure Based on the Total Concurrence

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article

A New Entanglement Measure Based on the Total Concurrence

Zhong‐Xi Shen, Dong‐Ping Xuan, Zhi‐Xi Wang, Shao‐Ming Fei, Wen Zhou
article en
2 citations

Abstract

Abstract Quantum entanglement is a crucial resource in quantum information processing, advancing quantum technologies. The greater the uncertainty in subsystems' pure states, the stronger the quantum entanglement between them. From the dual form of ‐concurrence () we introduce the total concurrence. A bona fide measure of quantum entanglement is introduced, the ‐concurrence (), which is based on the total concurrence. Analytical lower bounds for the ‐concurrence are derived. In addition, an analytical expression is derived for the ‐concurrence in the cases of isotropic and Werner states. Furthermore, the monogamy relations that the ‐concurrence satisfies for qubit systems are examined. Additionally, based on the parameterized ‐concurrence and its complementary dual, the ‐concurrence is also proposed.

Advanced Quantum TechnologiesVol. 8(10)
Nanyang Institute of Technology (CN), Capital Normal University (CN)
Openalex Percentile: Top 6%
Quantum Information and Cryptography
4.96
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