Physics:Quantum probability - Revision history

WikiHarold: Clean Quantum page image and red links

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	== External links ==		== External links ==
	* [https://sites.google.com/site/associationqp/home Association for Quantum Probability and Infinite Dimensional Analysis (AQPIDA)]		* [https://sites.google.com/site/associationqp/home Association for Quantum Probability and Infinite Dimensional Analysis (AQPIDA)]

	~~{{Quantum mechanics topics\|state=expanded}}~~
	[[Category:Quantum mechanics]]		[[Category:Quantum mechanics]]
	[[Category:Exotic probabilities]]		[[Category:Exotic probabilities]]

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	{{Quantum book backlink\|Foundations}}		{{Quantum book backlink\|Foundations}}
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	{{Short description\|Noncommutative probability framework for quantum mechanics and measurement}}		{{Short description\|Noncommutative probability framework for quantum mechanics and measurement}}

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	{{Short description\|Noncommutative probability framework for quantum mechanics and measurement}}~~Book I~~		{{Short description\|Noncommutative probability framework for quantum mechanics and measurement}}

	{{Quantum book backlink\|Foundations}}		{{Quantum book backlink\|Foundations}}

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	~~~~{{Short description\|Noncommutative probability framework for quantum mechanics and measurement}}		{{Short description\|Noncommutative probability framework for quantum mechanics and measurement}}Book I

	{{Quantum book backlink\|Foundations}}		{{Quantum book backlink\|Foundations}}

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	{{Short description\|Noncommutative probability framework for quantum mechanics and measurement}}		{{Short description\|Noncommutative probability framework for quantum mechanics and measurement}}

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	{{Short description\|Noncommutative probability framework for quantum mechanics and measurement}}		{{Short description\|Noncommutative probability framework for quantum mechanics and measurement}}

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	'''probability''' ~~is a Book I topic in the Quantum Collection. Quantum~~ probability was developed in the 1980s as a noncommutative analog of the Kolmogorovian theory of stochastic processes. One of its aims is to clarify the mathematical foundations of quantum theory and its statistical interpretation. A significant recent application to physics is the dynamical solution of the quantum measurement problem, by giving constructive models of quantum observation processes which resolve many famous paradoxes of quantum mechanics. Some recent advances are based on quantum filtering and feedback control theory as applications of quantum stochastic calculus. ~~Quantum probability was developed~~ in ~~the 1980s as a noncommutative analog of the Kolmogorovian theory of stochastic processes~~.~~{{cite journal \|author1=L~~. ~~Lewis \|last-author-amp=yes \| title = Quantum stochastic processes \| journal = Publ~~.		'''probability''' quantum probability was developed in the 1980s as a noncommutative analog of the Kolmogorovian theory of stochastic processes. One of its aims is to clarify the mathematical foundations of quantum theory and its statistical interpretation. A significant recent application to physics is the dynamical solution of the quantum measurement problem, by giving constructive models of quantum observation processes which resolve many famous paradoxes of quantum mechanics. Some recent advances are based on quantum filtering and feedback control theory as applications of quantum stochastic calculus. Orthodox quantum mechanics has two seemingly contradictory mathematical descriptions: Most physicists are not concerned with this apparent problem. Physical intuition usually provides the answer, and only in unphysical systems (e.g., Schrödinger's cat, an isolated atom) do paradoxes seem to occur.
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	The idempotents ''p'' ∈ ''A'' are the events in ''A'', and '''P'''(''p'') gives the probability of the event ''p''.		The idempotents ''p'' ∈ ''A'' are the events in ''A'', and '''P'''(''p'') gives the probability of the event ''p''.

			== See also ==
			{{#invoke:PhysicsQC\|tocHeadingAndList\|Physics:Quantum basics/See also}}

	== References ==		== References ==
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	[[Category:Exotic probabilities]]		[[Category:Exotic probabilities]]

	{{Sourceattribution\|Quantum probability\|1}}		{{Author\|Harold Foppele}}

			{{Sourceattribution\|Physics:Quantum probability\|1}}

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			{{Short description\|Noncommutative probability framework for quantum mechanics and measurement}}

	{{Quantum book backlink\|Foundations}}		{{Quantum book backlink\|Foundations}}

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	'''Quantum probability''' was developed in the 1980s as a noncommutative analog of the Kolmogorovian theory of stochastic processes.<ref name=Accardi82>{{cite journal		'''Quantum probability''' was developed in the 1980s as a noncommutative analog of the Kolmogorovian theory of stochastic processes.<ref name=Accardi82>{{cite journal
	\|author1=L. Accardi \|author2=A. Frigerio \|author3=J.T. Lewis \|last-author-amp=yes \| title = Quantum stochastic processes		\|author1=L. Accardi \|author2=A. Frigerio \|author3=J.T. Lewis \|last-author-amp=yes \| title = Quantum stochastic processes
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	\| issue = 3 \| citeseerx = 10.1.1.252.701		\| issue = 3 \| citeseerx = 10.1.1.252.701
	}}</ref> and feedback control theory as applications of [[Quantum stochastic calculus\|quantum stochastic calculus]].		}}</ref> and feedback control theory as applications of [[Quantum stochastic calculus\|quantum stochastic calculus]].
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			[[File:Quantum Propability-y.png\|thumb\|280px\|Quantum probability describes probabilistic structure in quantum mechanics using noncommutative mathematical models.]]
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	== Orthodox quantum mechanics ==		== Orthodox quantum mechanics ==

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	{{Short description\|Noncommutative probability framework for quantum mechanics and measurement}}		{{Short description\|Noncommutative probability framework for quantum mechanics and measurement}}

	{{Quantum book backlink\|Foundations}}		{{Quantum book backlink\|Foundations}}
	{{Quantum article nav\|previous=Physics:Quantum superposition\|previous label=Superposition\|next=Physics:Quantum Mathematical Foundations of Quantum Theory\|next label=Mathematical Foundations of Quantum Theory}}		{{Quantum article nav\|previous=Physics:Quantum superposition\|previous label=Superposition\|next=Physics:Quantum Mathematical Foundations of Quantum Theory\|next label=Mathematical Foundations of Quantum Theory}}