Channel-State duality with centers
Quantum Physics
2026-04-01 v2 General Relativity and Quantum Cosmology
High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We study extensions of the mappings arising in usual channel-state duality to the case of Hilbert spaces with a direct sum structure. This setting arises in representations of algebras with centers, which are commonly associated with constraints, and it has many physical applications from quantum many-body theory to holography and quantum gravity. We establish that there is a general relationship between non-separability of the state and the isometric properties of the induced channel. We also provide a generalisation of our approach to algebras of trace-class operators on infinite dimensional Hilbert spaces.
Keywords
Cite
@article{arxiv.2404.16004,
title = {Channel-State duality with centers},
author = {Simon Langenscheidt and Eugenia Colafranceschi and Daniele Oriti},
journal= {arXiv preprint arXiv:2404.16004},
year = {2026}
}