SU(2)-Equivariant Quantum Channels: Semiclassical Analysis

Tommaso Aschieri; Błażej Ruba; Jan Philip Solovej

doi:10.1007/s00220-024-05178-1

SU(2)-Equivariant Quantum Channels: Semiclassical Analysis

Tommaso Aschieri^*
, Błażej Ruba
, Jan Philip Solovej

^*Corresponding author af dette arbejde

Institut for Matematiske Fag

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

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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.

Originalsprog	Engelsk
Artikelnummer	298
Tidsskrift	Communications in Mathematical Physics
Vol/bind	405
Udgave nummer	12
Antal sider	39
ISSN	0010-3616
DOI	https://doi.org/10.1007/s00220-024-05178-1
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.

Finansiering

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.

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Citationsformater

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