dorsal/arxiv
View SchemaQuantum Bayesian Nets
| Authors | Robert R. Tucci |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9706039 |
| URL | https://arxiv.org/abs/quant-ph/9706039 |
| DOI | 10.1142/S0217979295000148 |
| Journal | Int.J.Mod.Phys. B9 (1995) 295-337 |
Abstract
We begin with a review of a well known class of networks, Classical Bayesian (CB) nets (also called causal probabilistic nets by some). Given a situation which includes randomness, CB nets are used to calculate the probabilities of various hypotheses about the situation, conditioned on the available evidence. We introduce a new class of networks, which we call Quantum Bayesian (QB) nets, that generalize CB nets to the quantum mechanical regime. We explain how to use QB nets to calculate quantum mechanical conditional probabilities (in case of either sharp or fuzzy observations), and discuss the connection of QB nets to Feynman Path integrals. We give examples of QB nets that involve a single spin-half particle passing through a configuration of two or three Stern-Gerlach magnets. For the examples given, we present the numerical values of various conditional probabilities, as calculated by a general computer program especially written for this purpose.
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"abstract": "We begin with a review of a well known class of networks, Classical Bayesian\n(CB) nets (also called causal probabilistic nets by some). Given a situation\nwhich includes randomness, CB nets are used to calculate the probabilities of\nvarious hypotheses about the situation, conditioned on the available evidence.\nWe introduce a new class of networks, which we call Quantum Bayesian (QB) nets,\nthat generalize CB nets to the quantum mechanical regime. We explain how to use\nQB nets to calculate quantum mechanical conditional probabilities (in case of\neither sharp or fuzzy observations), and discuss the connection of QB nets to\nFeynman Path integrals. We give examples of QB nets that involve a single\nspin-half particle passing through a configuration of two or three\nStern-Gerlach magnets. For the examples given, we present the numerical values\nof various conditional probabilities, as calculated by a general computer\nprogram especially written for this purpose.",
"arxiv_id": "quant-ph/9706039",
"authors": [
"Robert R. Tucci"
],
"categories": [
"quant-ph"
],
"doi": "10.1142/S0217979295000148",
"journal_ref": "Int.J.Mod.Phys. B9 (1995) 295-337",
"title": "Quantum Bayesian Nets",
"url": "https://arxiv.org/abs/quant-ph/9706039"
},
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