Experimental simulation and limitations of quantum walks with trapped ions

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dc.identifier.uri http://dx.doi.org/10.15488/1292
dc.identifier.uri http://www.repo.uni-hannover.de/handle/123456789/1317
dc.contributor.author Matjeschk, R.
dc.contributor.author Schneider, C
dc.contributor.author Enderlein, M.
dc.contributor.author Huber, T.
dc.contributor.author Schmitz, H.
dc.contributor.author Glueckert, J.
dc.contributor.author Schaetz, T.
dc.date.accessioned 2017-04-06T07:29:15Z
dc.date.available 2017-04-06T07:29:15Z
dc.date.issued 2012
dc.identifier.citation Matjeschk, R.; Schneider, Ch; Enderlein, M.; Huber, T.; Schmitz, H. et al.: Experimental simulation and limitations of quantum walks with trapped ions. In: New Journal of Physics 14 (2012), 35012. DOI: https://doi.org/10.1088/1367-2630/14/3/035012
dc.description.abstract We examine the prospects of discrete quantum walks (QWs) with trapped ions. In particular, we analyze in detail the limitations of the protocol of Travaglione and Milburn (2002 Phys. Rev. A 65 032310) that has been implemented by several experimental groups in recent years. Based on the first realization in our group (Schmitz et al 2009 Phys. Rev. Lett. 103 090504), we investigate the consequences of leaving the scope of the approximations originally made, such as the Lamb-Dicke approximation. We explain the consequential deviations from the idealized QW for different experimental realizations and an increasing number of steps by taking into account higher-order terms of the quantum evolution. It turns out that these already become significant after a few steps, which is confirmed by experimental results and is currently limiting the scalability of this approach. Finally, we propose a new scheme using short laser pulses, derived from a protocol from the field of quantum computation. We show that this scheme is not subject to the above-mentioned restrictions and analytically and numerically evaluate its limitations, based on a realistic implementation with our specific setup. Implementing the protocol with state-of-the-art techniques should allow for substantially increasing the number of steps to 100 and beyond and should be extendable to higher-dimensional QWs. eng
dc.description.sponsorship MPQ
dc.description.sponsorship MPG
dc.description.sponsorship DFG/SCHA 973/1-6
dc.description.sponsorship EU/SCALA
dc.description.sponsorship EU/STReP PICC
dc.description.sponsorship DFG/EXC/Munich-Centre for Advanced Photonics
dc.description.sponsorship EU/COQUIT
dc.language.iso eng
dc.publisher Bristol : IOP Publishing Ltd.
dc.relation.ispartofseries New Journal of Physics 14 (2012)
dc.rights CC BY-NC-SA 3.0 Unported
dc.rights.uri https://creativecommons.org/licenses/by-nc-sa/3.0/
dc.subject atom eng
dc.subject coherence eng
dc.subject algorithm eng
dc.subject dynamics eng
dc.subject energy eng
dc.subject states eng
dc.subject.ddc 530 | Physik ger
dc.title Experimental simulation and limitations of quantum walks with trapped ions
dc.type article
dc.type Text
dc.relation.essn 1367-2630
dc.relation.doi https://doi.org/10.1088/1367-2630/14/3/035012
dc.bibliographicCitation.volume 14
dc.bibliographicCitation.firstPage 35012
dc.description.version publishedVersion
tib.accessRights frei zug�nglich

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