Detection of genuinely entangled and non-separable $n$-partite quantum states

TL;DR

This paper introduces practical, easily computable criteria for detecting genuine entanglement in $n$-partite quantum states, outperforming existing methods and applicable in current experimental setups.

Contribution

It presents new separability criteria that do not require numerical optimization or eigenvalue calculations, enabling efficient detection of complex entanglement.

Findings

Criteria outperform existing methods in certain cases

Able to detect previously unrecognized genuine $n$-partite entanglement

Applicable in current experimental quantum setups

Abstract

We investigate the detection of entanglement in $n$-partite quantum states. We obtain practical separability criteria to identify genuinely entangled and non-separable mixed quantum states. No numerical optimization or eigenvalue evaluation is needed, and our criteria can be evaluated by simple computations involving components of the density matrix. We provide examples in which our criteria perform better than all known separability criteria. Specifically, we are able to detect genuine $n$-partite entanglement which has previously not been identified. In addition, our criteria can be used in today's experiment.