Entanglement detection via some classes of measurements

TL;DR

This paper introduces three new separability criteria for bipartite quantum systems using mutually unbiased bases, measurements, and symmetric informationally complete POVMs, which outperform previous criteria in detecting entanglement.

Contribution

The paper proposes three novel entanglement detection criteria based on advanced measurement schemes that are more effective than existing methods.

Findings

Criteria successfully detect entanglement in Werner states

Criteria outperform previous methods in Bell-diagonal states

Enhanced detection power demonstrated through theoretical analysis

Abstract

Based on the mutually unbiased bases, the mutually unbiased measurements and the general symmetric informationally complete positive-operator-valued measures, we propose three separability criteria for $d$-dimensional bipartite quantum systems, which are more powerful than the corresponding ones introduced in [C. Spengler, M. Huber, S. Brierley, T. Adaktylos, and B.C. Hiesmayr, Phys. Rev. A \textbf{86}, 022311 (2012); B. Chen, T. Ma, and S.M. Fei, Phys. Rev. A \textbf{89}, 064302 (2014); B. Chen, T. Li, and S.M. Fei, arXiv:1406.7820v1 [quant-ph] (2014)]. Some states such as Werner states and Bell-diagonal states are used to further illustrate the efficiency of the presented criteria.