A Family of Multipartite Entanglement Measures

We construct a family of additive entanglement measures for pure multipartite states. The family is parametrised by a simplex and interpolates between the Renyi entropies of the one-particle reduced states and the recently found universal spectral points (Christandl, Vrana, and Zuiddam, J of the AMS 2023) that serve as monotones for tensor degeneration.

Automated summary

We propose a family of additive entanglement measures for pure multipartite states. This family is parameterized by a simplex and ranges from the Renyi entropies of the one-particle reduced states to the recently discovered universal spectral points that serve as monotones for tensor degeneration (Christandl, Vrana, and Zuiddam, J of the AMS 2023).