About: Asymptotic Dynamics of Coined Quantum Walks on Percolation Graphs

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	Quantum walks obey unitary dynamics: they form closed quantum systems. The system becomes open if the walk suffers from imperfections represented as missing links on the underlying basic graph structure, described by dynamical percolation. Openness of the system's dynamics creates decoherence, leading to strong mixing. We present a method to analytically solve the asymptotic dynamics of coined, percolated quantum walks for a general graph structure. For the case of a circle and a linear graph we derive the explicit form of the asymptotic states. We find that a rich variety of asymptotic evolutions occur: not only the fully mixed state, but other stationary states; stable periodic and quasiperiodic oscillations can emerge, depending on the coin operator, the initial state, and the topology of the underlying graph. Quantum walks obey unitary dynamics: they form closed quantum systems. The system becomes open if the walk suffers from imperfections represented as missing links on the underlying basic graph structure, described by dynamical percolation. Openness of the system's dynamics creates decoherence, leading to strong mixing. We present a method to analytically solve the asymptotic dynamics of coined, percolated quantum walks for a general graph structure. For the case of a circle and a linear graph we derive the explicit form of the asymptotic states. We find that a rich variety of asymptotic evolutions occur: not only the fully mixed state, but other stationary states; stable periodic and quasiperiodic oscillations can emerge, depending on the coin operator, the initial state, and the topology of the underlying graph. (en)
Title	Asymptotic Dynamics of Coined Quantum Walks on Percolation Graphs Asymptotic Dynamics of Coined Quantum Walks on Percolation Graphs (en)
skos:prefLabel	Asymptotic Dynamics of Coined Quantum Walks on Percolation Graphs Asymptotic Dynamics of Coined Quantum Walks on Percolation Graphs (en)
skos:notation	RIV/68407700:21340/12:00196520!RIV13-MSM-21340___
http://linked.open...avai/predkladatel	Fakulta jaderná a fyzikálně inženýrská
http://linked.open...avai/riv/aktivita	I Z
http://linked.open...avai/riv/aktivity	I, Z(MSM6840770039)
http://linked.open...iv/cisloPeriodika	23
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Novotný, Jaroslav Jex, Igor
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	České vysoké učení technické v Praze / Fakulta jaderná a fyzikálně inženýrská
http://linked.open...dnocenehoVysledku	123970
http://linked.open...ai/riv/idVysledku	RIV/68407700:21340/12:00196520
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	quantum walks; percolation (en)
http://linked.open.../riv/klicoveSlovo	percolation quantum walks
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[1E70B7794ADD]
http://linked.open...i/riv/nazevZdroje	Physical Review Letters
http://linked.open...in/vavai/riv/obor	BE
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	4 (xsd:int)
http://linked.open...UplatneniVysledku	2012
http://linked.open...v/svazekPeriodika	108
http://linked.open...iv/tvurceVysledku	Jex, Igor Novotný, Jaroslav Kiss, T. Kollar, B.
http://linked.open...ain/vavai/riv/wos	000304806100003
http://linked.open...n/vavai/riv/zamer	Matematické, počítačové a experimentální metody ve fyzice
issn	0031-9007
number of pages	5 (xsd:int)
http://bibframe.org/vocab/doi	10.1103/PhysRevLett.108.230505
http://localhost/t...ganizacniJednotka	21340
is http://linked.open...avai/riv/vysledek of	Asymptotic Dynamics of Coined Quantum Walks on Percolation Graphs

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