Sum rule for non-adiabatic geometric phases
Quantum Physics
2026-01-13 v2
Abstract
Berry monopoles always cancel when summing over a complete set of energy eigenstates. We demonstrate that analogous sum rules exist for geometric phases and their underlying 2-forms in non-adiabatic evolution. Our result has implications for qudit computation as it limits the types of gates that can be implemented by purely geometric means.
Cite
@article{arxiv.2511.22437,
title = {Sum rule for non-adiabatic geometric phases},
author = {Adam Fredriksson and Erik Sjöqvist},
journal= {arXiv preprint arXiv:2511.22437},
year = {2026}
}
Comments
Minor revision, journal reference added