Verification of linear optical quantum computing using quantum process calculus

Franke-Arnold, S., Gay, S. J. and Puthoor, I. V. (2014) Verification of linear optical quantum computing using quantum process calculus. Electronic Proceedings in Theoretical Computer Science, 160, pp. 111-129. (doi:10.4204/EPTCS.160.10)

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Abstract

We explain the use of quantum process calculus to describe and analyse linear optical quantum computing (LOQC). The main idea is to define two processes, one modelling a linear optical system and the other expressing a specification, and prove that they are behaviourally equivalent. We extend the theory of behavioural equivalence in the process calculus Communicating Quantum Processes (CQP) to include multiple particles (namely photons) as information carriers, described by Fock states or number states. We summarise the theory in this paper, including the crucial result that equivalence is a congruence, meaning that it is preserved by embedding in any context. In previous work, we have used quantum process calculus to model LOQC but without verifying models against specifications. In this paper, for the first time, we are able to carry out verification. We illustrate this approach by describing and verifying two models of an LOQC CNOT gate.

Item Type:Articles
Additional Information:In Johannes Borgström and Silvia Crafa: Proceedings Combined 21st International Workshop on Expressiveness in Concurrency and 11th Workshop on Structural Operational Semantics (EXPRESS/SOS 2014), Rome, Italy, 1 September 2014
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Gay, Professor Simon and Franke-Arnold, Dr Sonja and Puthoor, Mr Ittoop
Authors: Franke-Arnold, S., Gay, S. J., and Puthoor, I. V.
Subjects:Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Q Science > QC Physics
College/School:College of Science and Engineering > School of Computing Science
College of Science and Engineering > School of Physics and Astronomy
Journal Name:Electronic Proceedings in Theoretical Computer Science
Publisher:Open Publishing Association
ISSN:2075-2180
Copyright Holders:Copyright © 2014 The Authors
First Published:First published in Electronic Proceedings in Theoretical Computer Science 160:111-129
Publisher Policy:Reproduced under a Creative Commons License
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