Algebras of measurements: The logical structure of quantum mechanics

Daniel Lehmann*, Kurt Engesser, Dov M. Gabbay

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

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.

Original languageEnglish
Pages (from-to)715-741
Number of pages27
JournalInternational Journal of Theoretical Physics
Volume45
Issue number4
DOIs
StatePublished - Apr 2006

Keywords

  • Measurement algebras
  • Quantum logic
  • Quantum measurements

Fingerprint

Dive into the research topics of 'Algebras of measurements: The logical structure of quantum mechanics'. Together they form a unique fingerprint.

Cite this