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arXiv · 1412.8543

QPEL: Quantum Program and Effect Language

Robin Adams
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Abstract

We present the syntax and rules of deduction of QPEL (Quantum Program and Effect Language), a language for describing both quantum programs, and properties of quantum programs - effects on the appropriate Hilbert space. We show how semantics may be given in terms of state-and-effect triangles, a categorical setting that allows semantics in terms of Hilbert spaces, C*-algebras, and other categories. We prove soundness and completeness results that show the derivable judgements are exactly those provable in all state-and-effect triangles.

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Robin Adams. 2014-12-30. QPEL: Quantum Program and Effect Language. https://doi.org/10.4204/eptcs.172.10

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