Comparative Dynamical Study of a Bound Entangled State

TL;DR

This paper investigates how different interactions influence the dynamics of a bound entangled state in an open quantum system, highlighting the effectiveness of Dzyaloshinskii-Moriya interaction in activating entanglement.

Contribution

It provides a comparative analysis of the effects of various interactions on a bound entangled state, emphasizing the role of DM interaction in entanglement activation.

Findings

DM interaction best activates the bound entangled state

Auxiliary qutrit interaction does not depend on probability amplitude

The study uses CCNR criterion and negativity for entanglement detection and measurement

Abstract

The bound entangled state carries noisy entanglement and it is very hard to distill but the usefulness of bound entangled states has been depicted in different applications. This article represents a comparative dynamical study of an open quantum system for one of the bound entangled states proposed by Bennett et al. The study is conducted under the influence of Heisenberg, bi-linear bi-quadratic and Dzyaloshinskii-Moriya (DM) interaction. During the study, an auxiliary qutrit interacts with one of the qutrits of the selected two qutrit bound entangled state through different interactions. The computable cross-norm or realignment (CCNR) criterion has been used to detect the bound entanglement of the state and the negativity has been applied to measure the free entanglement. From this three-fold study it is observed that, although the auxiliary qutrit plays a significant role during the interaction, the probability amplitude of the qutrit does not affect the open quantum system. Further, it is found that the Dzyaloshinskii-Moriya (DM) interaction performs better to activate the chosen bound entangled state among all the interactions.