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Quantum Physics and LinguisticsA Compositional, Diagrammatic Discourse$
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Chris Heunen, Mehrnoosh Sadrzadeh, and Edward Grefenstette

Print publication date: 2013

Print ISBN-13: 9780199646296

Published to Oxford Scholarship Online: May 2013

DOI: 10.1093/acprof:oso/9780199646296.001.0001

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PRINTED FROM OXFORD SCHOLARSHIP ONLINE (www.oxfordscholarship.com). (c) Copyright Oxford University Press, 2020. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 30 March 2020

A Graphical Approach to Measurement-BasedQuantum Computing

A Graphical Approach to Measurement-BasedQuantum Computing

(p.50) CHAPTER 3 A Graphical Approach to Measurement-BasedQuantum Computing
Quantum Physics and Linguistics

Ross Duncan

Oxford University Press

Quantum computations are easily represented in the graphical notation known as the zx-calculus, also known as the red–green calculus. We demonstrate its use in reasoning about measurement-based quantum computing, where the graphical syntax directly captures the structure of the entangled states used to represent computations, and show that the notion of information flow within the entangled states gives rise to rewriting strategies for proving the correctness of quantum programs.

Keywords:   measurement, quantum computing, quantum protocols, entangled states, information flow, rewriting techniques, correctness, zx graphical calculus

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