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Title: Higher-order semantics for quantum programming languages with classical control
Author: Atzemoglou, George Philip
Awarding Body: University of Oxford
Current Institution: University of Oxford
Date of Award: 2012
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This thesis studies the categorical formalisation of quantum computing, through the prism of type theory, in a three-tier process. The first stage of our investigation involves the creation of the dagger lambda calculus, a lambda calculus for dagger compact categories. Our second contribution lifts the expressive power of the dagger lambda calculus, to that of a quantum programming language, by adding classical control in the form of complementary classical structures and dualisers. Finally, our third contribution demonstrates how our lambda calculus can be applied to various well known problems in quantum computation: Quantum Key Distribution, the quantum Fourier transform, and the teleportation protocol.
Supervisor: Abramsky, Samson; Coecke, Bob Sponsor: US Office of Naval Research ; Foundational Questions Institute ; Leverhulme Trust
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: Theory and automated verification ; Computer science (mathematics) ; Mathematical logic and foundations ; Quantum theory (mathematics) ; computer science ; quantum computing ; programming languages ; lambda calculus ; category theory ; logic