The entanglement criteria based on equiangular tight frames

TL;DR

This paper introduces entanglement detection methods using equiangular tight frames, providing new criteria and witnesses for bipartite and multipartite quantum states, enhancing quantum information analysis tools.

Contribution

It develops novel entanglement criteria and witnesses based on equiangular tight frames, extending their application from bipartite to multipartite quantum systems.

Findings

Derived entanglement criteria using equiangular tight frames.

Constructed entanglement witnesses from these frames.

Generalized criteria to multipartite quantum systems.

Abstract

Finite tight frames play an important role in miscellaneous areas, including quantum information theory. Here we apply a class of tight frames, equiangular tight frames, to address the problem of detecting the entanglement of bipartite states. Here we derive some entanglement criteria based on positive operator-valued measurements built from equiangular tight frames. We also present a class of entanglement witnesses based on the equiangular tight frames. At last, we generalize the entanglement criterion for bipartite systems to multipartite systems.