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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.

Details

1009240
Title
Verification of Linear Optical Quantum Computing using Quantum Process Calculus
Publication title
arXiv.org; Ithaca
Publication year
2014
Publication date
Aug 7, 2014
Section
Computer Science
Publisher
Cornell University Library, arXiv.org
Source
arXiv.org
Place of publication
Ithaca
Country of publication
United States
University/institution
Cornell University Library arXiv.org
e-ISSN
2331-8422
Source type
Working Paper
Language of publication
English
Document type
Working Paper
Publication history
 
 
Online publication date
2014-08-08
Milestone dates
2014-08-07 (Submission v1)
Publication history
 
 
   First posting date
08 Aug 2014
ProQuest document ID
2084581797
Document URL
https://www.proquest.com/working-papers/verification-linear-optical-quantum-computing/docview/2084581797/se-2?accountid=208611
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Copyright
© 2014. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
Last updated
2019-04-17
Database
ProQuest One Academic