We analyse non-adiabatic non-Abelian holonomic transformations of spin-qubits confined to a linear time dependent harmonic trap with time dependent Rashba interaction. For this system exact results can be derived for spin rotation angle which also enables exact treatment of white gate-noise effects. We concentrate in particular on the reliability of cyclic transformations quantified by fidelity defined by the probability that the qubit after one full cycle remains in the ground-state energy manifold. The formalism allows exact analysis of spin transformations that optimise final fidelity. Various examples of time dependent fidelity probability distributions are presented and discussed.
@article{arxiv.1711.01459,
title = {Effects of noise on fidelity in spin-orbit qubit transformations},
author = {Lara Ulcakar and Anton Ramsak},
journal= {arXiv preprint arXiv:1711.01459},
year = {2019}
}