Infinite-dimensional Categorical Quantum Mechanics

zbMath1486.81004arXiv1605.04305MaRDI QIDQ5014782

Fabrizio Genovese, Stefano Gogioso

Publication date: 8 December 2021

Full work available at URL: https://arxiv.org/abs/1605.04305

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Quasi-Frobenius rings (16L60) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Positive linear operators and order-bounded operators (47B65) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (9)

Towards Quantum Field Theory in Categorical Quantum Mechanics ⋮ Unnamed Item ⋮ Light-Matter Interaction in the ZXW Calculus ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Dynamics in the decompositions approach to quantum mechanics ⋮ Algeo: an algebraic approach to reversibility ⋮ A computer scientist’s reconstruction of quantum theory*

Cites Work

• Unnamed Item
• Categorical quantum mechanics
• H*-algebras and nonunital Frobenius algebras: first steps in infinite-dimensional categorical quantum mechanics
• Classical and quantum structuralism
• Application of nonstandard analysis to quantum mechanics
• Unitary representations of the hyperfinite Heisenberg group and the logical extension methods in physics
• Interacting quantum observables: categorical algebra and diagrammatics
• Structure Theorems for a Special Class of Banach Algebras

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