Quick Navigation

Overview Topics Abstract Importance Paper Tools References Reactions Discussion Publication Related

Topics

Topological Quantum Computing Quantum Simulation

Sum rule for non-adiabatic geometric phases

arXiv

Authors: Adam Fredriksson, Erik Sjöqvist

Year

2025

Paper ID

16557

Status

Preprint

Abstract Read

~2 min

Abstract Words

Citations

N/A

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.

Why This Paper Matters

This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
It adds a 2025 reference point for readers tracking recent quantum research.
Berry monopoles always cancel when summing over a complete set of energy eigenstates.

Paper Tools

Become a member to use research tools

Sign in to open papers, visit source links, share, cite, compare, copy DOI links, request category corrections, and build your reading list.

Become a member Sign in

Show Paper arXiv Publisher Share Cite This Paper Copy URL Compare Copy DOI Add to Reading List Category Correction Request

References & Citation Signals

[1] DOI https://doi.org/arXiv:2511.22437 [2] arXiv https://arxiv.org/abs/2511.22437 [3] Publisher https://arxiv.org/abs/2511.22437

Local Citation Graph (Related-Paper Links)

External citation index: OpenAlex citation signal

Community Reactions

Quick sentiment from readers on this paper.

Score: 0

Likes: 0 Dislikes: 0

Discussion & Reviews (Moderated)

Average Rating: 0.0 / 5 (0 ratings)

No written reviews yet.