publication . Article . 2008

Quantum Data and Control Made Easier

Michael Lampis; Kyriakos G. Ginis; Michalis A. Papakyriakou; Nikolaos S. Papaspyrou;
Open Access English
  • Published: 01 Jul 2008 Journal: Electronic Notes in Theoretical Computer Science (issn: 15710661, Copyright policy)
  • Publisher: Elsevier B.V.
Abstract
AbstractIn this paper we define nQML, a functional quantum programming language that follows the “quantum data and control” paradigm. In comparison to Altenkirch and Grattage's QML, the control constructs of nQML are simpler and can implement quantum algorithms more directly and naturally. We avoid the unnecessary complexities of a linear type system by using types that carry the address of qubits in the quantum state. We provide a denotational semantics over density matrices and unitary transformations, inspired by Selinger's semantics for QPL. Our semantics leads naturally to an interpreter for nQML, written in Haskell. We also explore the extension of nQML wi...
Subjects
arXiv: Computer Science::Programming Languages
free text keywords: Functional quantum programming language, type system, denotational semantics, Theoretical Computer Science, Computer Science(all), General Computer Science, Programming language, computer.software_genre, computer, Normalisation by evaluation, Action semantics, Operational semantics, Quantum programming, computer.programming_language, Denotational semantics of the Actor model, Haskell, Quantum algorithm, Computer science
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