Quantum mechanics posed in terms of category theory
Categorical quantum mechanics is the study of quantum foundations and quantum information using paradigms from mathematics and computer science, notably monoidal category theory. The primitive objects of study are physical processes, and the different ways that these can be composed. It was pioneered in 2004 by Samson Abramsky and Bob Coecke. Categorical quantum mechanics is entry 18M40 in MSC2020.
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Categoricalquantummechanics is the study of quantum foundations and quantum information using paradigms from mathematics and computer science, notably...
parameterised quantum circuits that can solve NLP tasks faster than any classical computer. It is inspired by categoricalquantummechanics and the DisCoCat...
appears in modern quantum theory, particularly in matrix product states and quantum circuits. In particular, Categoricalquantummechanics which includes...
swapping has been given by Bob Coecke, presented in terms of categoricalquantummechanics. An important application of entanglement swapping is distributing...
measurement apparatuses are assumed to be tomographically complete. CategoricalQuantumMechanics (CQM) or Process Theories are a general framework to describe...
semantics and quantum computing. Notably, he co-pioneered categoricalquantummechanics. More recently, he has been applying methods from categorical semantics...
notation. This has led to the development of categoricalquantummechanics where the axioms of quantum theory are expressed in the language of monoidal...
topological quantum field theories, for n = 1 and k = 3. They are a fundamental structure in Samson Abramsky and Bob Coecke's categoricalquantummechanics. Dagger...
Lambek Valeria de Paiva Gordon Plotkin Dana Scott David Spivak Categoricalquantummechanics ZX-calculus DisCoCat Petri net Univalent foundations String...
application of categoricalquantummechanics to natural language processing. It started with the observation that pregroup grammars and quantum processes shared...
In quantummechanics, notably in quantum information theory, fidelity quantifies the "closeness" between two density matrices. It expresses the probability...
requiring less data. This quantum compositional intelligence is based on categoricalquantummechanics, which studies quantum processes and how they are...
in categoricalquantummechanics, an area that now also considers dagger symmetric monoidal categories when dealing with infinite-dimensional quantum mechanical...
algebraic topology, categorical topology, quantum topology, low-dimensional topology; Categorical logic and set theory in the categorical context such as...
Abramsky – for contributions to domain theory, game semantics and categoricalquantummechanics 2012 Grady Booch – for contributions to software architecture...
support in theoretical physics, and is usually connected only with quantummechanics or wormholes. Some ancient myths depict a character skipping forward...
Robert Spekkens in 2004, to argue in favour of the epistemic view of quantummechanics. The model is based on a foundational principle: "If one has maximal...
In quantummechanics, separable states are multipartite quantum states that can be written as a convex combination of product states. Product states are...
topology, knot theory, topological quantum field theory, quantum information theory, and diagrammatic and categorical mathematics. He is best known for...
defends rigorously mechanistic materialism. In this book, he discusses quantummechanics, defending the Everett or Multiple Worlds Interpretation, against...
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