Exact spin-orbit qubit manipulation

TL;DR

This paper presents exact solutions for manipulating spin-qubits in moving traps with time-dependent spin-orbit interaction, comparing phases, enabling arbitrary transformations, and analyzing noise effects.

Contribution

It introduces exact analytical methods for spin-qubit control under dynamic conditions and noise, expanding the understanding of non-adiabatic and adiabatic phase relations.

Findings

The ratio of Anandan to Wilczek-Zee phases can be any real number.

Arbitrary qubit transformations are possible in a ring with spin-orbit coupling.

Exact analysis of spin-orbit dynamics under Ornstein-Uhlenbeck noise is demonstrated.

Abstract

We consider exactly solvable manipulation of spin-qubits confined in a moving harmonic trap and in the presence of the time dependent Rashba interaction. Non-adiabatic Anandan phase for cyclic time evolution is compared to the Wilczek-Zee adiabatic counterpart. It is shown that the ratio of these two phases can for a chosen system be any real number. Next we demonstrate the possibility of arbitrary qubit transformation in a ring with spin-orbit interaction. Finally, we present an example of exact analysis of spin-orbit dynamics influenced by the Ornstein-Uhlenbeck coloured noise.