SU(2)-equivariant quantum channels: semiclassical analysis

2024/04/05 by Tommaso Aschieri, Aschieri, Tommaso, Błażej Ruba +3 · 2 citations
Physics and Astronomy · #Advanced Chemical Physics Studies #FOS: Physical sciences #Mathematical Physics (math-ph) #Nuclear physics research studies

paper · pdf · doi:10.48550/arxiv.2404.04133

openalex publication_date 2024/04/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• Classification and implementation of unitary-equivariant and permutation-invariant quantum channels
• Optimal Remainder Estimates in the Quantization of Complex Projective Spaces

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