Characterization of Entanglement in Higher Dimensional Bipartite as well as Multipartite Quantum System and its Application

TL;DR

This paper advances the understanding of entanglement in higher-dimensional bipartite and multipartite quantum systems by developing new criteria for detecting various types of entanglement, with a focus on practical experimental realization.

Contribution

It introduces new separability criteria for detecting NPT and PPT entangled states and proposes methods to implement these criteria experimentally.

Findings

Established criteria for NPT and PPT entanglement detection.

Proposed theoretical ideas for experimental realization of entanglement detection.

Enhanced understanding of bound entanglement detection.

Abstract

In recent years considerable progress has been made towards developing a general theory of quantum entanglement. In particular, criteria to decide whether a given quantum state is entangled are of high theoretical and practical interest. This problem is additionally complicated by the existence of bound entanglement, which are weak entangled states and hard to detect. In this thesis, we have worked on the characterization of bipartite and tripartite entanglement. We have established a few separability criteria that successfully detect Negative Partial Transpose (NPT) as well as Positive Partial Transpose (PPT) entangled states. Although the topic of detection of entanglement has been extensively studied in the literature through many approaches, the majority of these criteria are not physically realizable. This means that they are well accepted in the mathematical language but cannot be implemented in a laboratory setting. In this thesis, we propose some theoretical ideas to realize these entanglement detection criteria experimentally.