Physics, Topology, Logic and Computation: A Rosetta Stone
by John C. Baez, Mike Stay
Publisher: arXiv 2009
Number of pages: 73
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.
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A set of class notes taken by math graduate students, the goal of the course was to introduce some basic concepts from theoretical physics which play so fundamental role in a recent intermarriage between physics and pure mathematics.
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