SU(2)-equivariant quantum channels: semiclassical analysis
Mathematical Physics
2025-08-28 v1 math.MP
Abstract
We study completely positive and trace-preserving equivariant maps between operators on irreducible representations of . We find asymptotic approximations of channels in the limit of large output representation and we compute traces of functions of channel outputs. Our main tool is quantization using coherent states. We provide quantitative error bounds for various semiclassical formulas satisfied by quantizations of functions on the sphere.
Cite
@article{arxiv.2404.04133,
title = {SU(2)-equivariant quantum channels: semiclassical analysis},
author = {Tommaso Aschieri and Błażej Ruba and Jan Philip Solovej},
journal= {arXiv preprint arXiv:2404.04133},
year = {2025}
}