Mutual information and swap operation in the two-qubit Heisenberg model with Dzyaloshinskii-Moriya anisotropic antisymmetric interaction

TL;DR

This paper explores how the Dzyaloshinskii-Moriya interaction affects mutual information and swap operations in a two-qubit Heisenberg model, revealing dependencies on initial states, temperature, and interaction strength.

Contribution

It provides new insights into the influence of DM interaction on mutual information and establishes conditions for implementing swap operations in this quantum system.

Findings

Mutual information decreases with temperature and varies with initial conditions.

DM interaction can enhance mutual information, especially in ferromagnetic cases.

Swap operations are feasible under specific DM coupling conditions.

Abstract

Mutual information and swap operation in the two-qubit Heisenberg model with the Dzyaloshinskii-Moriya (DM) anisotropic antisymmetric interaction are investigated. It is found that the mutual information I of such a quantum channel is sensitive to the initial conditions and declines with the increase of the temperature. The DM interaction can lead to a higher mutual information, especially for the ferromagnetic case. The entanglement quality of input states cannot enhance the mutual information of the quantum channel. When the DM interaction is large, the mutual information will be the maximum value 2 for a non-entangled input state, but it is 1 for a maximally entangled input one. It is also shown that the swap operation can be implemented for some kinds of DM coupling. The conditions of the DM coupling under which the swap operation is feasible are established.