Qubit gates with simultaneous transport in double quantum dots

TL;DR

This paper presents a method for fast, simultaneous transport and spin manipulation of a qubit in a double quantum dot system using 4D rotation geometry, enhancing quantum control techniques.

Contribution

It introduces a novel approach to engineer faster-than-adiabatic qubit operations by combining transport and spin rotation through 4D rotation geometry.

Findings

Demonstrates simultaneous qubit transport and spin rotation in double quantum dots.

Uses 4D rotation geometry to optimize quantum state manipulation.

Achieves faster-than-adiabatic control of electron spins.

Abstract

A single electron spin in a double quantum dot in a magnetic field is considered in terms of a four-level system. By describing the electron motion between the potential minima by spin-conserving tunneling and spin flip caused by a spin-orbit coupling, we inversely engineer faster-than-adiabatic state manipulation operations based on the geometry of four-dimensional (4D) rotations. In particular, we show how to transport a qubit among the quantum dots performing simultaneously a required spin rotation.