Abstract
We study completely positive and trace-preserving equivariant maps between operators on irreducible representations of SU(2). 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.
Originalsprog | Engelsk |
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Artikelnummer | 298 |
Tidsskrift | Communications in Mathematical Physics |
Vol/bind | 405 |
Udgave nummer | 12 |
Antal sider | 39 |
ISSN | 0010-3616 |
DOI | |
Status | Udgivet - 2024 |
Bibliografisk note
Funding Information:We would like to thank Matthias Christandl, Jan Derezi\u0144ski, S\u00F8ren Fournais, Thomas Fraser, Martin Dam Larsen, Robin Reuvers, Freek Witteveen, and Lasse Wolff for helpful discussions and suggestions. This work was partially supported by the VILLUM Centre of Excellence for the Mathematics of Quantum Theory (QMATH) with Grant No.10059.
Publisher Copyright:
© The Author(s) 2024.