Work

SU(2)-Equivariant Quantum Channels: Semiclassical Analysis

Year: 2024

Type: article

Abstract: We study completely positive and trace-preserving equivariant maps between operators on irreducible representations of $${{\,\textrm{SU}\,}}(2)$$ 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.

Source: Communications in Mathematical Physics

DOI: 10.1007/s00220-024-05178-1

Authors: Tommaso Aschieri, Błażej Ruba, Jan Philip Solovej

Institution: University of Copenhagen

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,890

Funder: Villum Fonden