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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.
Xuan et al. (Mon,) studied this question.