Entanglement bound for multipartite pure states based on local measurements

TL;DR

This paper introduces an entanglement bound derived from local measurements for multipartite pure states, connecting various entanglement measures and providing exact results for certain tripartite states.

Contribution

It presents a new entanglement bound based on local measurements that relates to multiple entanglement measures and yields exact values for specific tripartite states.

Findings

The bound is the upper limit for geometric measure and relative entropy of entanglement.

It equals entanglement entropy for bipartite pure states.

Exact tripartite relative entropy of entanglement obtained for a broad class of tripartite states.

Abstract

An entanglement bound based on local measurements is introduced for multipartite pure states. It is the upper bound of the geometric measure and the relative entropy of entanglement. It is the lower bound of minimal measurement entropy. For pure bipartite states, the bound is equal to the entanglement entropy. The bound is applied to pure tripartite qubit states and the exact tripartite relative entropy of entanglement is obtained for a wide class of states.