@article{Selinger2006,
  title     = {A Lambda Calculus for Quantum Computation with Classical Control},
  author    = {Selinger, Peter and Valiron, Beno{\^i}t},
  year      = {2006},
  month     = jun,
  journal   = mscs,
  volume    = {16},
  number    = {3},
  pages     = {527--552},
  doi       = {10.1017/S0960129506005238},
  url       = {https://www.mscs.dal.ca/~selinger/papers/papers/qlambda-mscs.pdf},
  abstract  = {In this paper we develop a functional programming language for quantum computers by extending the simply-typed lambda calculus with quantum types and operations. The design of this language adheres to the 'quantum data, classical control' paradigm, following the first author's work on quantum flow-charts. We define a call-by-value operational semantics, and 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.},
  bibsource = qplbib
}

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