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20 April 2024
 
  » arxiv » quant-ph/0501150

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Linear-algebraic lambda-calculus
Pablo Arrighi ; Gilles Dowek ;
Date 25 Dec 2004
Journal Quantum Programming Languages 2004, satellite of LICS, Turku Centre for Computer Science General Publication, Vol. 33, (2004)
Subject quant-ph
AbstractWith a view towards models of quantum computation and/or the interpretation of linear logic, we define a functional language where all functions are linear operators by construction. A small step operational semantic (and hence an interpreter/simulator) is provided for this language in the form of a term rewrite system. The linear-algebraic lambda-calculus hereby constructed is linear in a different (yet related) sense to that, say, of the linear lambda-calculus. These various notions of linearity are discussed in the context of quantum programming languages. KEYWORDS: quantum lambda-calculus, linear lambda-calculus, $lambda$-calculus, quantum logics.
Source arXiv, quant-ph/0501150
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