Separability criteria via sets of mutually unbiased measurements

TL;DR

This paper develops new separability criteria using mutually unbiased measurements (MUMs), which are more versatile than MUBs, enabling effective entanglement detection in high-dimensional quantum systems with practical experimental applications.

Contribution

The paper introduces novel separability criteria based on MUMs, extending entanglement detection methods to arbitrary high-dimensional multipartite systems without the need for rank-one projectors.

Findings

Criteria successfully detect entanglement in high-dimensional systems

Applicable to multipartite and bipartite quantum states

Facilitates experimental implementation for unknown states

Abstract

Mutually unbiased measurements (MUMs) are generalized from the concept of mutually unbiased bases (MUBs) and include the complete set of MUBs as a special case, but they are superior to MUBs as they do not need to be rank one projectors. We investigate entanglement detection using sets of MUMs and derived separability criteria for $d$-dimensional multipartite systems, and arbitrary high-dimensional bipartitie and multipartite systems. These criteria provide experimental implementation in detecting entanglement of unknown quantum states.