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A Lambda Calculus for Quantum Computation with Classical Control

  • Peter Selinger
  • Benoît Valiron
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3461)

Abstract

The objective of this paper is to develop a functional programming language for quantum computers. We develop a lambda calculus for the classical control model, following the first author’s work on quantum flow-charts. We define a call-by-value operational semantics, and we give a type system using affine intuitionistic linear logic. The main results of this paper are the safety properties of the language and the development of a type inference algorithm.

Keywords

Quantum Computation Type System Operational Semantic Classical Control Typing Rule 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Peter Selinger
    • 1
  • Benoît Valiron
    • 1
  1. 1.Department of Mathematics and StatisticsUniversity of OttawaOttawaCanada

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