Dissipative dynamics of a spin system with three-body interaction

TL;DR

This paper explicitly solves the Lindblad equation for a three-spin system with three-body interactions, demonstrating its properties in a quantum computing context involving a two-qubit program line and a $\

Contribution

It provides an exact solution to the dissipative dynamics of a three-spin system with three-body interactions, a novel analytical approach in open quantum systems.

Findings

Explicit Lindblad solution for three-spin system

Analysis of dissipative effects in quantum computation

Insights into three-body interaction dynamics

Abstract

In this note we explicitly solve the Lindblad equation for a system of three spins with a three-body interaction, coupled to the environment by bath operators that inject or absorb spin carriers. We exemplify the properties of this solution in the context of a simple instance of Feynman's quantum computer in which a two-qubit program line is executed, applying the $\sqrt{NOT}$ primitive to a one-qubit register.