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Categories for Quantum TheoryAn Introduction$
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Chris Heunen and Jamie Vicary

Print publication date: 2019

Print ISBN-13: 9780198739623

Published to Oxford Scholarship Online: January 2020

DOI: 10.1093/oso/9780198739623.001.0001

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PRINTED FROM OXFORD SCHOLARSHIP ONLINE (oxford.universitypressscholarship.com). (c) Copyright Oxford University Press, 2021. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 10 May 2021

Linear Structure

Linear Structure

(p.61) 2 Linear Structure
Categories for Quantum Theory

Chris Heunen

Jamie Vicary

Oxford University Press

Many aspects of linear algebra can be reformulated as categorical structures. This chapter examines abstractions of the base field, zero-dimensional spaces, addition of linear operators, direct sums, matrices, inner products and adjoints. These features are essential for modelling features of quantum theory such as superposition, classical data and measurement.

Keywords:   Scalar, Superposition, Biproduct, Dagger, Kernel, Matrix

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