The Logic of Quantum Programs
Quantum Physics
2021-09-15 v1 Logic in Computer Science
Abstract
We present a logical calculus for reasoning about information flow in quantum programs. In particular we introduce a dynamic logic that is capable of dealing with quantum measurements, unitary evolutions and entanglements in compound quantum systems. We give a syntax and a relational semantics in which we abstract away from phases and probabilities. We present a sound proof system for this logic, and we show how to characterize by logical means various forms of entanglement (e.g. the Bell states) and various linear operators. As an example we sketch an analysis of the teleportation protocol.
Cite
@article{arxiv.2109.06792,
title = {The Logic of Quantum Programs},
author = {Alexandru Baltag and Sonja Smets},
journal= {arXiv preprint arXiv:2109.06792},
year = {2021}
}
Comments
18 pages, date 2004, presented at the 2nd International Workshop on Quantum Programming Languages, affiliated to LICS 2004