Influence of Dzyaloshinshkii-Moriya interaction on quantum correlations in two qubit Werner states and MEMS

TL;DR

This study investigates how Dzyaloshinskii-Moriya interaction affects quantum correlations in two-qubit Werner states and MEMS, revealing that certain components influence correlations while others do not, with implications for cost-effective quantum information processing.

Contribution

It demonstrates the directional dependence of DM interaction on quantum correlations in Werner states and MEMS, and shows auxiliary qubit states do not impact these correlations, simplifying experimental setups.

Findings

DM interaction along x and z affects MEMS but not Werner states

Auxiliary qubit state does not influence quantum correlations

Entanglement sudden death observed in the system

Abstract

In this paper we study the influence of Dzyaloshinskii-Moriya (DM) interaction on quantum correlations in two qubit Werner states and maximally entangled mixed states (MEMS). We consider our system as a closed system of a qubits pair and one auxiliary qubit which interact with any one of the qubit of the pair through DM interaction. We show that DM interaction, taken along any direction (x or y or z), does not affect two qubit Werner states. On the other hand the MEMS are affected by x and z components of DM interaction and remain unaffected by the y component. Further, we find that the state (i.e probability amplitude) of auxiliary qubit do not affect the quantum correlations in both the states, only DM interaction strength influences the quantum correlations. So one can avoid the intention to prepare the specific state of auxiliary qubit to manipulate the quantum correlations in both the states. We mention here that avoiding the preparation of state can contribute to cost reduction in quantum information processing. We also observe the phenomenon of entanglement sudden death in the present study.