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 $q$-concurrence ($q\ge 2$) we introduce the total concurrence. A bona fide measure of quantum entanglement is introduced, the ${\mathcal{C}}_q^t$-concurrence ($q\ge 2$), which is based on the total concurrence. Analytical lower bounds for the ${\mathcal{C}}_q^t$-concurrence are derived. In addition, an analytical expression is derived for the ${\mathcal{C}}_q^t$-concurrence in the cases of isotropic and Werner states. Furthermore, the monogamy relations that the ${\mathcal{C}}_q^t$-concurrence satisfies for qubit systems are examined. Additionally, based on the parameterized $\alpha$-concurrence and its complementary dual, the ${\mathcal{C}}_{\alpha }^t$-concurrence $(0\le \alpha \le \frac{1}{2})$ is also proposed.