Algebras of Measurements: the logical structure of Quantum Mechanics
Quantum Physics
2007-05-23 v2 Artificial Intelligence
Abstract
In Quantum Physics, a measurement is represented by a projection on some closed subspace of a Hilbert space. We study algebras of operators that abstract from the algebra of projections on closed subspaces of a Hilbert space. The properties of such operators are justified on epistemological grounds. Commutation of measurements is a central topic of interest. Classical logical systems may be viewed as measurement algebras in which all measurements commute. Keywords: Quantum measurements, Measurement algebras, Quantum Logic. PACS: 02.10.-v.
Keywords
Cite
@article{arxiv.quant-ph/0507231,
title = {Algebras of Measurements: the logical structure of Quantum Mechanics},
author = {Daniel Lehmann and Kurt Engesser and Dov M. Gabbay},
journal= {arXiv preprint arXiv:quant-ph/0507231},
year = {2007}
}
Comments
Submitted, 30 pages