Towards a formally verified functional quantum programming language

Green, Alexander S. (2010) Towards a formally verified functional quantum programming language. PhD thesis, University of Nottingham.

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Abstract

This thesis looks at the development of a framework for a functional quantum programming language. The framework is first developed in Haskell, looking at how a monadic structure can be used to explicitly deal with the side-effects inherent in the measurement of quantum systems, and goes on to look at how a dependently-typed reimplementation in Agda gives us the basis for a formally

verified quantum programming language. The two implementations are not in themselves fully developed quantum programming languages, as they are embedded in their respective parent languages, but are a major step towards the development of a full formally verified, functional quantum programming language. Dubbed the “Quantum IO Monad”, this framework is designed following a structural approach as given by a categorical model of quantum computation.

Item Type: Thesis (University of Nottingham only) (PhD)
Supervisors: Altenkirch, T.
Keywords: quantum programming, computer programming, computer languages, haskell, monadic structure, quantum io monad
Subjects: Q Science > QA Mathematics > QA 75 Electronic computers. Computer science
Faculties/Schools: UK Campuses > Faculty of Science > School of Computer Science
Item ID: 11457
Depositing User: EP, Services
Date Deposited: 12 Oct 2010 13:13
Last Modified: 14 Sep 2016 22:59
URI: http://eprints.nottingham.ac.uk/id/eprint/11457

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