dorsal/arxiv
View SchemaQuantum Iterated Function Systems
| Authors | Artur Lozinski, Karol Zyczkowski, Wojciech Slomczynski |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0210029 |
| URL | https://arxiv.org/abs/quant-ph/0210029 |
| DOI | 10.1103/PhysRevE.68.046110 |
| Journal | Phys. Rev. E 68, 046110 (2003) |
Abstract
Iterated functions 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 iterated functions system (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. 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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"abstract": "Iterated functions system (IFS) is defined by specifying a set of functions\nin a classical phase space, which act randomly on an initial point. In an\nanalogous way, we define a quantum iterated functions system (QIFS), where\nfunctions act randomly with prescribed probabilities in the Hilbert space. In a\nmore general setting a QIFS consists of completely positive maps acting in the\nspace of density operators. We present exemplary classical IFSs, the invariant\nmeasure of which exhibits fractal structure, and study properties of the\ncorresponding QIFSs and their invariant states.",
"arxiv_id": "quant-ph/0210029",
"authors": [
"Artur Lozinski",
"Karol Zyczkowski",
"Wojciech Slomczynski"
],
"categories": [
"quant-ph",
"nlin.CD"
],
"doi": "10.1103/PhysRevE.68.046110",
"journal_ref": "Phys. Rev. E 68, 046110 (2003)",
"title": "Quantum Iterated Function Systems",
"url": "https://arxiv.org/abs/quant-ph/0210029"
},
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