| Quantum iterated function systems. | |
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MedLine Citation:
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PMID: 14683005 Owner: NLM Status: PubMed-not-MEDLINE |
Abstract/OtherAbstract:
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An iterated function system (IFS) is defined by specifying a set of functions in a classical phase space, which act randomly on an initial point. In an analogous way, we define a quantum IFS (QIFS), where functions act randomly with prescribed probabilities in the Hilbert space. In a more general setting, a QIFS consists of completely positive maps acting in the space of density operators. This formalism is designed to describe certain problems of nonunitary quantum dynamics. We present exemplary classical IFSs, the invariant measure of which exhibits fractal structure, and study properties of the corresponding QIFSs and their invariant states. |
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Authors:
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Artur Łoziński; Karol Zyczkowski; Wojciech Słomczyński |
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Publication Detail:
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Type: Journal Article Date: 2003-10-13 |
Journal Detail:
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Title: Physical review. E, Statistical, nonlinear, and soft matter physics Volume: 68 ISSN: 1539-3755 ISO Abbreviation: Phys Rev E Stat Nonlin Soft Matter Phys Publication Date: 2003 Oct |
Date Detail:
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Created Date: 2003-12-19 Completed Date: 2004-01-26 Revised Date: - |
Medline Journal Info:
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Nlm Unique ID: 101136452 Medline TA: Phys Rev E Stat Nonlin Soft Matter Phys Country: United States |
Other Details:
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Languages: eng Pagination: 046110 Citation Subset: - |
Affiliation:
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Instytut Fizyki im. Mariana Smoluchowskiego, Uniwersytet Jagielloński, ul. Reymonta 4, 30-059 Kraków, Poland. lozinski@if.uj.edu.pl |
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From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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