Entanglement detection in arbitrary dimensional bipartite quantum systems through partial realigned moments

TL;DR

This paper introduces a new method for detecting entanglement in bipartite quantum systems of any dimension using partial realigned moments, capable of identifying both distillable and bound entangled states more effectively than existing schemes.

Contribution

It proposes a novel separability criterion based on partial moments of the realigned density matrix, applicable to arbitrary dimensions and improved for two-qubit systems.

Findings

Effective detection of both distillable and bound entangled states.

Outperforms comparable schemes relying on partial state information.

Applicable to arbitrary dimensional bipartite quantum states.

Abstract

Detection of entanglement through partial knowledge of the quantum state is a challenge to implement efficiently. Here we propose a separability criterion for detecting bipartite entanglement in arbitrary dimensional quantum states using partial moments of the realigned density matrix. Our approach enables detection of both distillable and bound entangled states through a common framework. We illustrate the efficiency of our method through examples of states belonging to both the above categories, which are not detectable using comparable other schemes relying on partial state information. The formalism of employing partial realigned moments proposed here is further shown to be effective for two-qubit systems too, with a slight modification of our separability criterion.