# Optimal dense coding and swap operation between two coupled electronic spins: effects of nuclear field and spin-orbit interaction

## TL;DR

This paper investigates how nuclear fields and spin-orbit interactions influence dense coding and swap operations in coupled electronic spins, providing conditions for their validity in AFM and FM couplings.

## Contribution

It offers a detailed analysis of the effects of nuclear and spin-orbit interactions on quantum information protocols in coupled spins, identifying conditions for successful dense coding and swap operations.

## Key findings

- Nuclear and spin-orbit interactions significantly affect dense coding and swap operations.
- Conditions for valid dense coding are established for different coupling cases.
- Feasibility of swap operations is analyzed under various interaction strengths.

## Abstract

The effects of nuclear field and spin-orbit interaction on dense coding and swap operation are studied in detail for both the antiferromagnetic (AFM) and ferromagnetic (FM) coupling cases. The conditions for a valid dense coding and under which swap operation is feasible are given.

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Source: https://tomesphere.com/paper/1702.04454