# The Arrow Calculus as a Quantum Programming Language

### Abstract

We express quantum computations (with measurements) using the arrow calculus extended with monadic constructions. This framework expresses quantum programming using well-understood and familiar classical patterns for programming in the presence of computational effects. In addition, the five laws of the arrow calculus provide a convenient framework for equational reasoning about quantum computations that include measurements.

Type
Publication
Logic, Language, Information and Computation

WoLLIC ‘09