Design and control of spin gates in two quantum dots arrays

TL;DR

This paper explores how spin-orbit interaction and electron focusing in quantum dot arrays enable dynamic control over the symmetry, sign, and strength of spin-spin interactions, facilitating versatile quantum gate design.

Contribution

It introduces a method to tune the effective spin-spin Hamiltonian's symmetry and coupling parameters in quantum dot arrays using electron focusing and spin-orbit effects.

Findings

Interaction can be switched between Ising-like and Heisenberg-like.

Sign and magnitude of coupling are tunable.

Dynamic control of spin interactions is achievable.

Abstract

We study the spin-spin interaction between quantum dots coupled through a two dimensional electron gas with spin-orbit interaction. We show that the interplay between transverse electron focusing and spin-orbit coupling allows to dynamically change the symmetry of the effective spin-spin Hamiltonian. That is, the interaction can be changed from Ising-like to Heisenberg-like and vice versa. The sign and magnitude of the coupling constant can also be tuned.