English

An Algebra of Pure Quantum Programming

Quantum Physics 2008-05-06 v1

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.

Keywords

Cite

@article{arxiv.quant-ph/0506012,
  title  = {An Algebra of Pure Quantum Programming},
  author = {Thorsten Altenkirch and Jonathan Grattage and Juliana K. Vizzotto and Amr Sabry},
  journal= {arXiv preprint arXiv:quant-ph/0506012},
  year   = {2008}
}

Comments

To appear in ENTCS, 3rd International Workshop on Quantum Programming Languages, 2005. 21 Pages