Meromorphic Quantum Computing
Quantum Physics
2026-05-08 v1
Abstract
We consider the kinematic axioms of quantum mechanics projectively. Instead of normalized (pure) states up to global phase, states become one-dimensional subspaces of vector spaces. This process of projectivization is functorial and lax monoidal. For qubits it identifies the Bloch sphere with the Riemann sphere. We interpret a fragment of the ZXW-calculus projectively and thereby provide an alternate derivation of the arithmetic GHZ/W-calculus of Coecke et al. We find meromorphic functions that characterize the coherent behaviour of circuits for logical state preparation of quantum codes and magic state distillation.
Cite
@article{arxiv.2605.06251,
title = {Meromorphic Quantum Computing},
author = {Simon Burton and Hussain Anwar},
journal= {arXiv preprint arXiv:2605.06251},
year = {2026}
}