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Quantum Physics
Title: Channel-State duality with centers
(Submitted on 24 Apr 2024)
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.
Submission history
From: Simon Felix Langenscheidt [view email][v1] Wed, 24 Apr 2024 17:35:02 GMT (36kb)
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