An Algebra of Pure Quantum Programming

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We develop a sound and complete equational theory for the functional quantum programming language QML. The soundness and completeness of the theory are with respect to the previously-developed denotational semantics of QML. The completeness proof also gives rise to a normalisation algorithm following the normalisation by evaluation approach. The current work focuses on the pure fragment of QML omitting measurements.
To appear in ENTCS, 3rd International Workshop on Quantum Programming Languages, 2005. 21 Pages

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