Efficient entanglement criteria for discrete, continuous, and hybrid variables

TL;DR

This paper introduces a versatile method to create entanglement criteria applicable to multipartite systems involving discrete, continuous, or hybrid variables, enhancing detection capabilities beyond current methods.

Contribution

It presents a unified approach to construct entanglement criteria for diverse quantum systems, including hybrid setups, with practical implementation advantages.

Findings

Criteria detect entanglement undetected by existing methods.

Applicable to pure and mixed states with local operators.

Compatible with current experimental technology.

Abstract

We provide a method to construct entanglement criteria for arbitrary multipartite systems of discrete or continuous variables and hybrid combinations of both. While any set of local operators generates a sufficient condition for entanglement of arbitrary quantum states, a suitable set leads to a necessary and sufficient criterion for pure states. The criteria are readily implementable with existing technology and reveal entanglement that remains undetected by the respective state-of-the-art methods for discrete and continuous variables.