Efficacy of Moriya interaction to free the bound entangled state

TL;DR

This paper demonstrates that Dzyaloshinskii-Moriya interaction can effectively convert bound entangled states into free entangled states in a system of two qutrits with an auxiliary qutrit, highlighting the interaction's role in entanglement dynamics.

Contribution

The study extends previous work by analyzing the impact of DM interaction on Jurkowski et al.'s bound entangled states, including open system dynamics and entanglement detection methods.

Findings

DM interaction governs entanglement dynamics

Auxiliary qutrit's probability amplitude does not affect the system

Bound entanglement can be freed using DM interaction

Abstract

The current work shows the efficacy of Dzyaloshinshkii-Moriya (DM) interaction to free the bound entanglement. Based on the work [Sharma, K.K., Pandey, S.N., Quant. Info. Proc. 15, 1539 (2016)], we present further results in two qutrits bound entangled state proposed by Jurkovaski et al. We consider a closed system of two qutrits and an auxiliary qutrit which interacts with either one of the two qutrits in a closed system. We erase the auxiliary qutrit from the system by doing partial trace operation and open system dynamics has been studied. We have found, the probability amplitude of auxiliary qutrit does not affect the system, while DM interaction plays a major role to govern the dynamics. The realignment and CCNR criteria have been used to detect the bound entanglement in the state, while for quantification of entanglement the negativity has been used. We explored the dynamics with all the possible cases of Jurkowski et al. bound entangled state.