Categories of Quantum and Classical Channels (extended abstract)

zbMath1464.81014arXiv1408.0049MaRDI QIDQ4995141

Bob Coecke, Chris Heunen, Aleks Kissinger

Publication date: 23 June 2021

Full work available at URL: https://arxiv.org/abs/1408.0049

Mathematics Subject Classification ID

Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) Operator spaces and completely bounded maps (46L07) Applications of functional analysis in quantum physics (46N50) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89) Quantum state spaces, operational and probabilistic concepts (81P16) Structured objects in a category (group objects, etc.) (18C40) Quantum channels, fidelity (81P47) Dagger categories, categorical quantum mechanics (18M40)

Related Items (3)

The CBH characterisation theorem beyond algebraic quantum theory ⋮ From probability monads to commutative effectuses ⋮ Shaded tangles for the design and verification of quantum circuits

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