SU(2)-equivariant quantum channels: semiclassical analysis
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866909753945358336 |
|---|---|
| author | Aschieri, Tommaso Ruba, Błażej Solovej, Jan Philip |
| author_facet | Aschieri, Tommaso Ruba, Błażej Solovej, Jan Philip |
| contents | We study completely positive and trace-preserving equivariant maps between operators on irreducible representations of $\mathrm{SU}(2)$. 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_04133 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | SU(2)-equivariant quantum channels: semiclassical analysis Aschieri, Tommaso Ruba, Błażej Solovej, Jan Philip Mathematical Physics We study completely positive and trace-preserving equivariant maps between operators on irreducible representations of $\mathrm{SU}(2)$. 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. |
| title | SU(2)-equivariant quantum channels: semiclassical analysis |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2404.04133 |