Separability of Multipartite Quantum States with Strong Positive Partial Transpose

TL;DR

This paper introduces an alternative way to define strong positive partial transpose (SPPT) states in multipartite quantum systems, ensuring key properties like separability are maintained, and offers conditions for their separability.

Contribution

It proposes a new generalization of SPPT for multipartite states that preserves important properties and provides criteria for their separability.

Findings

The new generalization maintains PPT and separability properties.

Sufficient conditions for the separability of multipartite SPPT states are established.

The approach improves upon previous definitions by preserving desired quantum state properties.

Abstract

We generalize the definition of strong positive partial transpose (SPPT) to the multipartite system. The tripartite case was first considered by X.-Y. Yu and H. Zhao [ Int. J. Theor. Phys.,54, 292, (2015)]. In this extension, unfortunately, desired properties such as the PPT of SPPT states the separability of super and pure SPPT states are not preserved. In contrast, this paper provides an alternative generalization to multipartite cases with these properties preserved. We also provide sufficient conditions for the separability of SPPT states.