Entanglement detection via general SIC-POVMs

TL;DR

This paper introduces new entanglement detection criteria using general SIC-POVMs that require fewer measurements and are experimentally feasible for identifying entanglement in unknown quantum states.

Contribution

It develops separability criteria based on general SIC-POVMs for multipartite quantum systems, enhancing detection efficiency and experimental practicality.

Findings

Criteria require fewer local measurements

Applicable to multipartite systems

Facilitate experimental detection of unknown states

Abstract

We study separability problem using general symmetric informationally complete measurements and propose separability criteria in $\mathbb{C}^{d_{1}}\otimes\mathbb{C}^{d_{2}}$ and $\mathbb{C}^{d_{1}}\otimes\mathbb{C}^{d_{2}}\cdots\otimes\mathbb{C}^{d_{n}}$. Our criteria just require less local measurements and provide experimental implementation in detecting entanglement of unknown quantum states.