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Kindergarten Quantum Mechanics

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arxiv quant-ph/0510032 v1 pith:2ZWDPUN5 submitted 2005-10-04 quant-ph math.CT

Bob Coecke This is my paper · ORCID
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These lecture notes survey some joint work with Samson Abramsky as it was presented by me at several conferences in the summer of 2005. It concerns `doing quantum mechanics using only pictures of lines, squares, triangles and diamonds'. This picture calculus can be seen as a very substantial extension of Dirac's notation, and has a purely algebraic counterpart in terms of so-called Strongly Compact Closed Categories (introduced by Abramsky and I in quant-ph/0402130 and [4]) which subsumes my Logic of Entanglement quant-ph/0402014. For a survey on the `what', the `why' and the `hows' I refer to a previous set of lecture notes quant-ph/0506132. In a last section we provide some pointers to the body of technical literature on the subject.

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  1. Generalised Process Theories

    math.CT 2025-02 conditional novelty 6.0 of 10

    A generalised process theory is an algebra for a wiring operad, subsuming traditional, time-neutral, causal, higher-order, and enriched process theories.

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