000858714 001__ 858714 000858714 005__ 20230217124412.0 000858714 0247_ $$2doi$$a10.1103/PhysRevA.98.052348 000858714 0247_ $$2ISSN$$a0556-2791 000858714 0247_ $$2ISSN$$a1050-2947 000858714 0247_ $$2ISSN$$a1094-1622 000858714 0247_ $$2ISSN$$a1538-4446 000858714 0247_ $$2ISSN$$a2469-9926 000858714 0247_ $$2ISSN$$a2469-9934 000858714 0247_ $$2Handle$$a2128/20988 000858714 0247_ $$2WOS$$aWOS:000451572500003 000858714 0247_ $$2altmetric$$aaltmetric:41455652 000858714 037__ $$aFZJ-2018-07559 000858714 082__ $$a530 000858714 1001_ $$0P:(DE-Juel1)167542$$aWillsch, D.$$b0$$ufzj 000858714 245__ $$aTesting quantum fault tolerance on small systems 000858714 260__ $$aWoodbury, NY$$bInst.$$c2018 000858714 264_1 $$2Crossref$$3online$$bAmerican Physical Society (APS)$$c2018-11-28 000858714 264_1 $$2Crossref$$3print$$bAmerican Physical Society (APS)$$c2018-11-01 000858714 3367_ $$2DRIVER$$aarticle 000858714 3367_ $$2DataCite$$aOutput Types/Journal article 000858714 3367_ $$0PUB:(DE-HGF)16$$2PUB:(DE-HGF)$$aJournal Article$$bjournal$$mjournal$$s1605868859_32709 000858714 3367_ $$2BibTeX$$aARTICLE 000858714 3367_ $$2ORCID$$aJOURNAL_ARTICLE 000858714 3367_ $$00$$2EndNote$$aJournal Article 000858714 520__ $$aWe extensively test a recent protocol to demonstrate quantum fault tolerance on three systems: (1) a real-time simulation of five spin qubits coupled to an environment with two-level defects, (2) a real-time simulation of transmon quantum computers, and (3) the 16-qubit processor of the IBM Q Experience. In the simulations, the dynamics of the full system is obtained by numerically solving the time-dependent Schrödinger equation. We find that the fault-tolerant scheme provides a systematic way to improve the results when the errors are dominated by the inherent control and measurement errors present in transmon systems. However, the scheme fails to satisfy the criterion for fault tolerance when decoherence effects are dominant. 000858714 536__ $$0G:(DE-HGF)POF3-511$$a511 - Computational Science and Mathematical Methods (POF3-511)$$cPOF3-511$$fPOF III$$x0 000858714 536__ $$0G:(DE-Juel1)PHD-NO-GRANT-20170405$$aPhD no Grant - Doktorand ohne besondere Förderung (PHD-NO-GRANT-20170405)$$cPHD-NO-GRANT-20170405$$x1 000858714 536__ $$0G:(DE-Juel1)jjsc09_20180501$$aManipulation and dynamics of quantum spin systems (jjsc09_20180501)$$cjjsc09_20180501$$fManipulation and dynamics of quantum spin systems$$x2 000858714 542__ $$2Crossref$$i2018-11-28$$uhttps://link.aps.org/licenses/aps-default-license 000858714 588__ $$aDataset connected to CrossRef 000858714 7001_ $$0P:(DE-Juel1)167543$$aWillsch, M.$$b1$$ufzj 000858714 7001_ $$0P:(DE-Juel1)144355$$aJin, F.$$b2$$ufzj 000858714 7001_ $$0P:(DE-HGF)0$$aDe Raedt, H.$$b3 000858714 7001_ $$0P:(DE-Juel1)138295$$aMichielsen, K.$$b4$$eCorresponding author$$ufzj 000858714 77318 $$2Crossref$$3journal-article$$a10.1103/physreva.98.052348$$bAmerican Physical Society (APS)$$d2018-11-28$$n5$$p052348$$tPhysical Review A$$v98$$x2469-9926$$y2018 000858714 773__ $$0PERI:(DE-600)2844156-4$$a10.1103/PhysRevA.98.052348$$gVol. 98, no. 5, p. 052348$$n5$$p052348$$tPhysical review / A$$v98$$x2469-9926$$y2018 000858714 8564_ $$uhttps://juser.fz-juelich.de/record/858714/files/PhysRevA.98.052348.pdf$$yOpenAccess 000858714 8564_ $$uhttps://juser.fz-juelich.de/record/858714/files/PhysRevA.98.052348.pdf?subformat=pdfa$$xpdfa$$yOpenAccess 000858714 909CO $$ooai:juser.fz-juelich.de:858714$$pdnbdelivery$$pdriver$$pVDB$$popen_access$$popenaire 000858714 9101_ $$0I:(DE-588b)5008462-8$$6P:(DE-Juel1)167542$$aForschungszentrum Jülich$$b0$$kFZJ 000858714 9101_ $$0I:(DE-588b)5008462-8$$6P:(DE-Juel1)167543$$aForschungszentrum Jülich$$b1$$kFZJ 000858714 9101_ $$0I:(DE-588b)5008462-8$$6P:(DE-Juel1)144355$$aForschungszentrum Jülich$$b2$$kFZJ 000858714 9101_ $$0I:(DE-588b)5008462-8$$6P:(DE-Juel1)138295$$aForschungszentrum Jülich$$b4$$kFZJ 000858714 9131_ $$0G:(DE-HGF)POF3-511$$1G:(DE-HGF)POF3-510$$2G:(DE-HGF)POF3-500$$3G:(DE-HGF)POF3$$4G:(DE-HGF)POF$$aDE-HGF$$bKey Technologies$$lSupercomputing & Big Data$$vComputational Science and Mathematical Methods$$x0 000858714 9141_ $$y2018 000858714 915__ $$0StatID:(DE-HGF)0200$$2StatID$$aDBCoverage$$bSCOPUS 000858714 915__ $$0StatID:(DE-HGF)0600$$2StatID$$aDBCoverage$$bEbsco Academic Search 000858714 915__ $$0LIC:(DE-HGF)APS-112012$$2HGFVOC$$aAmerican Physical Society Transfer of Copyright Agreement 000858714 915__ $$0StatID:(DE-HGF)0100$$2StatID$$aJCR$$bPHYS REV A : 2017 000858714 915__ $$0StatID:(DE-HGF)0150$$2StatID$$aDBCoverage$$bWeb of Science Core Collection 000858714 915__ $$0StatID:(DE-HGF)0110$$2StatID$$aWoS$$bScience Citation Index 000858714 915__ $$0StatID:(DE-HGF)0111$$2StatID$$aWoS$$bScience Citation Index Expanded 000858714 915__ $$0StatID:(DE-HGF)9900$$2StatID$$aIF < 5 000858714 915__ $$0StatID:(DE-HGF)0510$$2StatID$$aOpenAccess 000858714 915__ $$0StatID:(DE-HGF)0030$$2StatID$$aPeer Review$$bASC 000858714 915__ $$0StatID:(DE-HGF)1150$$2StatID$$aDBCoverage$$bCurrent Contents - Physical, Chemical and Earth Sciences 000858714 915__ $$0StatID:(DE-HGF)0300$$2StatID$$aDBCoverage$$bMedline 000858714 915__ $$0StatID:(DE-HGF)0199$$2StatID$$aDBCoverage$$bClarivate Analytics Master Journal List 000858714 9201_ $$0I:(DE-Juel1)JSC-20090406$$kJSC$$lJülich Supercomputing Center$$x0 000858714 9201_ $$0I:(DE-82)080012_20140620$$kJARA-HPC$$lJARA - HPC$$x1 000858714 980__ $$ajournal 000858714 980__ $$aVDB 000858714 980__ $$aI:(DE-Juel1)JSC-20090406 000858714 980__ $$aI:(DE-82)080012_20140620 000858714 980__ $$aUNRESTRICTED 000858714 9801_ $$aFullTexts 000858714 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevA.93.012301 000858714 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1038/s41534-016-0004-0 000858714 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1126/science.aao4309 000858714 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevA.96.062302 000858714 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1016/j.cpc.2017.06.011 000858714 999C5 $$1P. W. Shor$$2Crossref$$oP. W. Shor Proceedings of 37th Conference on Foundations of Computer Science, Burlington, VT 1996$$tProceedings of 37th Conference on Foundations of Computer Science, Burlington, VT$$y1996 000858714 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevA.57.127 000858714 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1038/nature23460 000858714 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevLett.117.210505 000858714 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1038/nature14270 000858714 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1038/ncomms5015 000858714 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1038/ncomms7979 000858714 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1038/ncomms7983 000858714 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevA.56.2567 000858714 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevA.54.R1745 000858714 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevA.56.33 000858714 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1126/sciadv.1701074 000858714 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.26421/QIC18.11-12 000858714 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevLett.119.180501 000858714 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1143/JPSJ.79.124005 000858714 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevE.94.022126 000858714 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevB.92.035442 000858714 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevA.87.012324 000858714 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevA.89.022306 000858714 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1088/2058-9565/aab73c 000858714 999C5 $$1M. A. Nielsen$$2Crossref$$oM. A. Nielsen Quantum Computation and Quantum Information: 10th Anniversary Edition 2011$$tQuantum Computation and Quantum Information: 10th Anniversary Edition$$y2011 000858714 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevA.71.012336 000858714 999C5 $$1P. Aliferis$$2Crossref$$oP. Aliferis 2006$$y2006 000858714 999C5 $$1P. Aliferis$$2Crossref$$oP. Aliferis 2007$$y2007 000858714 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1137/S0097539799359385 000858714 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevA.79.032318 000858714 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1070/RM1997v052n06ABEH002155 000858714 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1088/1367-2630/18/1/012002 000858714 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevLett.117.170502 000858714 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevLett.119.130502 000858714 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevLett.111.080502 000858714 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1063/1.4934486 000858714 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1063/1.448136 000858714 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevE.67.056702 000858714 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevE.96.053306 000858714 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevE.62.4365 000858714 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevB.85.014408 000858714 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevA.93.060302 000858714 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevA.76.042319 000858714 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevA.69.062320 000858714 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1016/0167-7977(87)90002-5 000858714 999C5 $$1H. De Raedt$$2Crossref$$oH. De Raedt Quantum and Molecular Computing, Quantum Simulations 2006$$tQuantum and Molecular Computing, Quantum Simulations$$y2006 000858714 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevA.96.022330 000858714 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevA.83.012308 000858714 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevLett.109.240504 000858714 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.17815/jlsrf-1-18 000858714 999C5 $$1J. M. Gambetta$$2Crossref$$oJ. M. Gambetta Quantum Information Processing: Lecture Notes of the 44th IFF Spring School, Schriften des Forschungszentrums Jülich, Reihe Schlüsseltechnologien/Key Technologies 2013$$tQuantum Information Processing: Lecture Notes of the 44th IFF Spring School, Schriften des Forschungszentrums Jülich, Reihe Schlüsseltechnologien/Key Technologies$$y2013 000858714 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevLett.103.110501 000858714 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1093/comjnl/7.4.308 000858714 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1016/S0375-9601(02)01272-0 000858714 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1088/1367-2630/17/11/113020