​​We propose entanglement measures by means of the fidelity-based distances. The fidelity-based distance is analogous to the relative entropy to the well-known entanglement measure, entanglement of formation. Our approach can be defined for any multipartite systems in a unified way. We also show that these fidelity-based measures are entanglement monotones and the bipartite ones are monogamous.

See in Ref. [Yu Guo, Lin Zhang and Huting Yuan. Entanglement measures induced by fidelity-based distances. Quantum Information Processing 19: 282(2020)] for more detail.