|
| related topics |
| {observables, space, algebra} |
| {measurement, state, measurements} |
| {let, theorem, proof} |
| {particle, mechanics, theory} |
| {state, states, entangled} |
| {wave, scattering, interference} |
|
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 ▸
|
|
| related documents |
| 0202057v1 |
| 0701113v1 |
| 0008020v1 |
| 9805066v1 |
| 0611295v1 |
| 0702023v1 |
| 0007060v1 |
| 0612226v1 |
| 9603005v2 |
| 0701217v1 |
| 0612096v1 |
| 0412074v1 |
| 0604091v1 |
| 0607005v2 |
| 0609056v1 |
| 0703162v1 |
| 0509074v1 |
| 0602140v1 |
| 0701054v1 |
| 0611070v1 |
| 0512100v1 |
| 0701200v3 |
| 0611076v1 |
| 0608092v1 |
| 0511171v1 |
|