Correlations and entanglement in probability theory
| dc.creator | Beltrametti, E. G. | |
| dc.creator | Bugajski, S. | |
| dc.date | 2002-11-14 | |
| dc.date | 2003-10-17 | |
| dc.date.accessioned | 2026-07-07T06:05:29Z | |
| dc.date.available | 2026-07-07T06:05:29Z | |
| dc.description | We generalize the classical probability frame by adopting a wider family of random variables that includes nondeterministic ones. The frame that emerges is known to host a ''classical'' extension of quantum mechanics. We discuss the notion of probabilistic correlation and show that it includes two kinds of correlation: a classical one, which occurs for both deterministic and indeterministic observables, and a nonclassical one, which occurs only for indeterministic observables. The latter will be called probabilistic entanglement and represents a property of intrinsically random systems, not necessarily quantum. It appears possible to separate the two kinds of correlation and characterize them by numerical functions which satisfy a simple product rule. | |
| dc.description | 10 pages, Latex, corrected typos | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0211083 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0211083 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/90650 | |
| dc.subject | Quantum Physics | |
| dc.title | Correlations and entanglement in probability theory | |
| dc.type | text |