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An Algebra of Pure Quantum Programming

Thorsten Altenkirch·Jonathan Grattage·Juliana K. Vizzotto·Amr Sabry
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Abstract

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.

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Thorsten Altenkirch, Jonathan Grattage, Juliana K. Vizzotto, Amr Sabry. 2005-06-01. An Algebra of Pure Quantum Programming. https://doi.org/10.1016/j.entcs.2006.12.010

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