# Monogamy Inequality in Terms of Entanglement Measures Based on Distance for Pure Multiqubit States

@article{Gao2020MonogamyII, title={Monogamy Inequality in Terms of Entanglement Measures Based on Distance for Pure Multiqubit States}, author={Limin Gao and Fengli Yan and Ting Gao}, journal={arXiv: Quantum Physics}, year={2020} }

Using very general arguments, we prove that any entanglement measures based on distance must be maximal on pure states. Furthermore, we show that Bures measure of entanglement and geometric measure of entanglement satisfy the monogamy inequality on all pure multiqubit states. Finally, using the power of Bures measure of entanglement and geometric measure of entanglement, we present a class of tight monogamy relations for pure states of multiqubit systems.

## 2 Citations

Monogamy of entanglement measures based on fidelity in multiqubit systems

- PhysicsQuantum Inf. Process.
- 2021

Determining whether or not a given entanglement measure is monogamous is an important question in the study of monogamy of Entanglement, and a lot of research work on this topic has been significantly developed over the last two decades.

Tighter monogamy relations in multiparty quantum systems

- Physics, Mathematics
- 2022

We investigate tight monogamy relations of multiparty quantum entanglement for any quantum state in this paper. First, we obtain a class of lower bounds for multiparty quantum systems which improve…

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