H*-algebras and nonunital Frobenius algebras: first steps in infinite-dimensional categorical quantum mechanics
From MaRDI portal
Publication:2918872
zbMath1267.18007arXiv1011.6123MaRDI QIDQ2918872
Publication date: 1 October 2012
Full work available at URL: https://arxiv.org/abs/1011.6123
monoidal categoriesorthogonal basesFrobenius algebracategorical quantum mechanics\(H^\ast\)-algebras
Spaces of operators; tensor products; approximation properties (46B28) Quantum measurement theory, state operations, state preparations (81P15) Hilbert algebras (46K15)
Related Items (28)
String diagram rewrite theory II: Rewriting with symmetric monoidal structure ⋮ Pictures of complete positivity in arbitrary dimension ⋮ Frobenius C∗-algebras and local adjunctions of C∗-correspondences ⋮ Frobenius structures over Hilbert \(C^*\)-modules ⋮ Monoidal computer. I: Basic computability by string diagrams ⋮ Complementarity in categorical quantum mechanics ⋮ Infinite-dimensional Categorical Quantum Mechanics ⋮ A survey of categorical properties of \(\mathbb{L}\)-fuzzy relations ⋮ Towards Quantum Field Theory in Categorical Quantum Mechanics ⋮ The algebra of the Feistel-Toffoli construction ⋮ Unitless Frobenius quantales ⋮ Relative Frobenius algebras are groupoids ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A general state-sum construction of 2-dimensional topological quantum field theories with defects ⋮ Unnamed Item ⋮ Coherence and strictification for self-similarity ⋮ Categories of quantum and classical channels ⋮ Classical Structures Based on Unitaries ⋮ Compositional Quantum Logic ⋮ On the Functor ℓ2 ⋮ Dialogue Categories and Frobenius Monoids ⋮ Categorical formulation of finite-dimensional quantum algebras ⋮ Elliptic complexes over \(C^\ast\)-algebras of compact operators ⋮ Hilbertian (function) algebras ⋮ Hilbertian Frobenius algebras
This page was built for publication: H*-algebras and nonunital Frobenius algebras: first steps in infinite-dimensional categorical quantum mechanics