SU(2)-Equivariant Quantum Channels: Semiclassical Analysis

Tommaso Aschieri*, Błażej Ruba, Jan Philip Solovej

*Corresponding author af dette arbejde

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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.

OriginalsprogEngelsk
Artikelnummer298
TidsskriftCommunications in Mathematical Physics
Vol/bind405
Udgave nummer12
Antal sider39
ISSN0010-3616
DOI
StatusUdgivet - 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.

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