Dynamical topological quantum computation using spin pulse control in the Heisenberg model

TL;DR

This paper proposes a method to dynamically realize the Kitaev spin Hamiltonian from the Heisenberg model using pulse control, enabling topological quantum computation without stable natural materials.

Contribution

It introduces a pulse-control technique to engineer the Kitaev Hamiltonian from the Heisenberg model, facilitating topological quantum computation.

Findings

Successfully demonstrates dynamic realization of Kitaev Hamiltonian

Preserves quantum states through repeated pulse sequences

Analyzes effects of spin-orbit and hyperfine interactions

Abstract

Hamiltonian engineering is an important approach for quantum information processing, when appropriate materials do not exist in nature or are unstable. So far there is no stable material for the Kitaev spin Hamiltonian with anisotropic interactions on a honeycomb lattice (A. Kitaev, Annals of Physics vol 321, 2 (2006)), which plays a crucial role in the realization of both Abelian and non-Abelian anyons. Here, we show how to dynamically realize the Kitaev spin Hamiltonian from the conventional Heisenberg spin Hamiltonian using a pulse-control technique. By repeating the same pulse sequence, the quantum state is dynamically preserved. The effects of the spin-orbit interaction and the hyperfine interaction are also investigated.