Entanglement criterion independent on observables for multipartite Gaussian states based on uncertainty principle

TL;DR

This paper introduces an observable-independent entanglement criterion for multipartite Gaussian states based on the uncertainty principle, enabling more universal detection of quantum entanglement.

Contribution

It proposes a new entanglement criterion that does not depend on specific observables, improving upon previous local uncertainty relation methods.

Findings

The criterion is implementable via a computer program.

It effectively detects entanglement in multipartite Gaussian states.

The method is independent of the choice of observables.

Abstract

The local uncertainty relation (LUR) criteria for quantum entanglement, which is dependent on chosen observables, is developed recent. In the paper, applying the uncertainty principle, an entanglement criteria for multipartite Gaussian states is given, which is implemented by a minimum optimization computer program and independent on observalbes.