A family of multipartite entanglement measures

TL;DR

This paper introduces a new family of additive entanglement measures for pure multipartite states, bridging Re9nyi entropies and universal spectral points, advancing the quantification of quantum entanglement.

Contribution

It presents a novel family of entanglement measures parametrized by a simplex, unifying existing measures and spectral points for multipartite entanglement quantification.

Findings

The family interpolates between Re9nyi entropies and spectral points.

The measures are additive and serve as monotones for tensor degeneration.

Provides a unified framework for entanglement quantification.

Abstract

We construct a family of additive entanglement measures for pure multipartite states. The family is parametrised by a simplex and interpolates between the R\'enyi entropies of the one-particle reduced states and the recently-found universal spectral points (Christandl, Vrana, and Zuiddam, STOC 2018) that serve as monotones for tensor degeneration.