About: Increasing the Dimensionality of Quantum Walks Using Multiple Walkers

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	We show that with the addition of multiple walkers, quantum walks on a line can be transformed into lattice graphs of higher dimension. Thus, multi-walker walks can simulate single-walker walks on higher dimensional graphs and vice versa. This exponential complexity opens up new applications for present-day quantum walk experiments. We discuss the applications of such higher-dimensional structures and how they relate to linear optics quantum computing. In particular we show that multi-walker quantum walks are equivalent to the BOSONSAMPLING model for linear optics quantum computation proposed by Aaronson and Arkhipov. With the addition of control over phase-defects in the lattice, which can be simulated with entangling gates, asymmetric lattice structures can be constructed which are universal for quantum computation. We show that with the addition of multiple walkers, quantum walks on a line can be transformed into lattice graphs of higher dimension. Thus, multi-walker walks can simulate single-walker walks on higher dimensional graphs and vice versa. This exponential complexity opens up new applications for present-day quantum walk experiments. We discuss the applications of such higher-dimensional structures and how they relate to linear optics quantum computing. In particular we show that multi-walker quantum walks are equivalent to the BOSONSAMPLING model for linear optics quantum computation proposed by Aaronson and Arkhipov. With the addition of control over phase-defects in the lattice, which can be simulated with entangling gates, asymmetric lattice structures can be constructed which are universal for quantum computation. (en)
Title	Increasing the Dimensionality of Quantum Walks Using Multiple Walkers Increasing the Dimensionality of Quantum Walks Using Multiple Walkers (en)
skos:prefLabel	Increasing the Dimensionality of Quantum Walks Using Multiple Walkers Increasing the Dimensionality of Quantum Walks Using Multiple Walkers (en)
skos:notation	RIV/68407700:21340/13:00210221!RIV14-MSM-21340___
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(LC06002), Z(MSM6840770039)
http://linked.open...iv/cisloPeriodika	7
http://linked.open...vai/riv/dodaniDat	2014
http://linked.open...aciTvurceVysledku	Jex, Igor Štefaňák, Martin
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	79502
http://linked.open...ai/riv/idVysledku	RIV/68407700:21340/13:00210221
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Quantum; Walk; Complexity (en)
http://linked.open.../riv/klicoveSlovo	Quantum Complexity Walk
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[04DA35E7F589]
http://linked.open...i/riv/nazevZdroje	Journal of Computational and Theoretical Nanoscience
http://linked.open...in/vavai/riv/obor	BE
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	6 (xsd:int)
http://linked.open...vavai/riv/projekt	Doppler Institute for Mathematical Physics and Applied Mathematics
http://linked.open...UplatneniVysledku	2013
http://linked.open...v/svazekPeriodika	10
http://linked.open...iv/tvurceVysledku	Jex, Igor Schreiber, A. Silberhorn, C. Štefaňák, Martin Rohde, P. P. Gilchrist, A.
http://linked.open...ain/vavai/riv/wos	000322605800016
http://linked.open...n/vavai/riv/zamer	Matematické, počítačové a experimentální metody ve fyzice
issn	1546-1955
number of pages	9 (xsd:int)
http://bibframe.org/vocab/doi	10.1166/jctn.2013.3104
http://localhost/t...ganizacniJednotka	21340

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