Measurements and confluence in quantum lambda calculi with explicit qubits
Quantum Physics
2011-02-08 v3
Abstract
This paper demonstrates how to add a measurement operator to quantum lambda-calculi. A proof of the consistency of the semantics is given through a proof of confluence presented in a sufficiently general way to allow this technique to be used for other languages. The method described here may be applied to probabilistic rewrite systems in general, and to add measurement to more complex languages such as QML or Lineal, which is the subject of further research.
Cite
@article{arxiv.0806.2447,
title = {Measurements and confluence in quantum lambda calculi with explicit qubits},
author = {Alejandro Díaz-Caro and Pablo Arrighi and Manuel Gadella and Jonathan Grattage},
journal= {arXiv preprint arXiv:0806.2447},
year = {2011}
}
Comments
15 pages. Minor changes: final proceedings version. To appear ENTCS: Proceedings of QPL V - DCV IV, Reykjavik, Iceland, 2008