Swap Action in a Solid-State Controllable Anisotropic Heisenberg Model

TL;DR

This paper demonstrates how to perform and optimize swap operations in solid-state quantum systems using anisotropic Heisenberg interactions, accounting for realistic fluctuations and implementing the scheme in quantum dots.

Contribution

It derives conditions for swap actions in anisotropic Heisenberg models and shows how to eliminate errors with symmetric anisotropy, including practical implementation details.

Findings

Swap errors can be eliminated with symmetric anisotropy.

Gate fidelity is estimated under realistic fluctuations.

Implementation in quantum dots with magnetic field adjustments.

Abstract

Correct swap action can be realized via the control of the anisotropic Heisenberg interaction in solid-state quantum systems. The conditions of performing a swap are derived by the dynamics of arbitrary bipartite pure state. It is found that swap errors can be eliminated in the presence of symmetric anisotropy. In realistic quantum computers with unavoidable fluctuations, the gate fidelity of swap action is estimated. The scheme of quantum computation via the anisotropic Heisenberg interaction is implemented in a one dimensional quantum dots. The slanting and static magnetic field can be used to adjust the anisotropy.