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Azienda News:
- THE CATEGORICAL LANGUAGE OF QUANTUM PHYSICS
and related concepts; then, we’ll talk about quantum mechanics; and nally, we’ll show how category theory gives a beautiful language to describe quantum theory by We’ll nish o by saying some words about the current state of the art 2 Category Theory A category Cconsists of the following data: (1)A collection of objects, denoted Ob C
- Categorical Quantum Mechanics - Department of Computer . . .
phenomena, drawn from areas including quantum theory, quantum information, logic, topology, representation theory, quantum algebra, quantum field theory, and even linguistics Within quantum theory, categories highlight different aspects than other approaches Instruments like tensor products and dual spaces are of course
- Categories for Quantum Theory: An Introduction
Monoidal category theory serves as a powerful framework for describing logical aspects of quantum theory, giving an abstract language for parallel and sequential composition, and a conceptual way to understand many high-level quantum phenomena This text lays the foundation for this categorical quantum mechanics, with an emphasis on the graphical calculus which makes computation intuitive
- Categories for Quantum Theory: An Introduction - Oxford Academic
Abstract Monoidal category theory serves as a powerful framework for describing logical aspects of quantum theory, giving an abstract language for parallel and sequential composition and a conceptual way to understand many high-level quantum phenomena
- [0905. 3010] Categories for the practising physicist - arXiv. org
In this chapter we survey some particular topics in category theory in a somewhat unconventional manner Our main focus will be on monoidal categories, mostly symmetric ones, for which we propose a physical interpretation These are particularly relevant for quantum foundations and for quantum informatics Special attention is given to the category which has finite dimensional Hilbert spaces
- [0808. 1023] Categorical quantum mechanics - arXiv. org
This invited chapter in the Handbook of Quantum Logic and Quantum Structures consists of two parts: 1 A substantially updated version of quant-ph 0402130 by the same authors, which initiated the area of categorical quantum mechanics, but had not yet been published in full length; 2 An overview of the progress which has been made since then in this area
- Categorical Quantum Circuits - arXiv. org
a standard, physically implementable quantum circuits Both category theory and the quantum circuit model are well developed fields, backed by years of funda-mental research The state of the art in graphical languages used in quantum information science can be found e g in [9] We also note the work in [10]
- Chris Heunen and Jamie Vicary February 20, 2013
elements of both category theory and quantum computer science This self-contained chapter xes our notation and conventions, while brie y recalling the basic notions from both subjects that we will be using in these notes: categories, functors, natural transformations, vector spaces, Hilbert spaces, and tensor products 0 1 Category theory
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