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related topics |
{observables, space, algebra} |
{measurement, state, measurements} |
{let, theorem, proof} |
{particle, mechanics, theory} |
{state, states, entangled} |
{wave, scattering, interference} |
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Algebras of Measurements: the logical structure of Quantum Mechanics
Daniel Lehmann, Kurt Engesser, Dov M. Gabbay
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.
- oai_identifier:
- oai:arXiv.org:quant-ph/0507231
- categories:
- quant-ph cs.AI
- comments:
- Submitted, 30 pages
- doi:
- 10.1007/s10773-006-9062-y
- arxiv_id:
- quant-ph/0507231
- journal_ref:
- International Journal of Theoretical Physics, 45(4) April 2006,
pages 698-723
- report_no:
- TR 2005-91 Leibniz Center for Research in Computer Science, Hebrew
Un. Jerusalem
- created:
- 2005-07-24
- updated:
- 2005-12-08
Full article ▸
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