Logo

Physics, Topology, Logic and Computation: A Rosetta Stone

Small book cover: Physics, Topology, Logic and Computation: A Rosetta Stone

Physics, Topology, Logic and Computation: A Rosetta Stone
by

Publisher: arXiv
Number of pages: 73

Description:
With the rise of interest in quantum cryptography and quantum computation, it became clear that there is extensive network of analogies between physics, topology, logic and computation. In this expository paper, we make some of these analogies precise using the concept of 'closed symmetric monoidal category'. We assume no prior knowledge of category theory, proof theory or computer science.

Home page url

Download or read it online for free here:
Download link
(810KB, PDF)

Download mirrors:
Mirror 1

Similar books

Book cover: Clifford Algebra, Geometric Algebra, and ApplicationsClifford Algebra, Geometric Algebra, and Applications
by - arXiv
These are lecture notes for a course on the theory of Clifford algebras. The various applications include vector space and projective geometry, orthogonal maps and spinors, normed division algebras, as well as simplicial complexes and graph theory.
(12181 views)
Book cover: Lectures on Diffusion Problems and Partial Differential EquationsLectures on Diffusion Problems and Partial Differential Equations
by - Tata Institute of Fundamental Research
Starting from Brownian Motion, the lectures quickly got into the areas of Stochastic Differential Equations and Diffusion Theory. The section on Martingales is based on additional lectures given by K. Ramamurthy of the Indian Institute of Science.
(7475 views)
Book cover: Graph and Network Theory in Physics: A Short IntroductionGraph and Network Theory in Physics: A Short Introduction
by - arXiv
Text consisting of some of the main areas of research in graph theory applied to physics. It includes graphs in condensed matter theory, such as the tight-binding and the Hubbard model. It follows the study of graph theory and statistical physics...
(7465 views)
Book cover: An Introduction to Hyperbolic AnalysisAn Introduction to Hyperbolic Analysis
by - arXiv
Contents: The hyperbolic algebra as a bidimensional Clifford algebra; Limits and series in the hyperbolic plane; The hyperbolic Euler formula; Analytic functions in the hyperbolic plane; Multivalued functions on the hyperbolic plane; etc.
(10050 views)