{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T11:27:24Z","timestamp":1740137244036,"version":"3.37.3"},"reference-count":65,"publisher":"Springer Science and Business Media LLC","issue":"12","license":[{"start":{"date-parts":[[2019,11,8]],"date-time":"2019-11-08T00:00:00Z","timestamp":1573171200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2019,11,8]],"date-time":"2019-11-08T00:00:00Z","timestamp":1573171200000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11475060"],"award-info":[{"award-number":["11475060"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Quantum Inf Process"],"published-print":{"date-parts":[[2019,12]]},"DOI":"10.1007\/s11128-019-2492-2","type":"journal-article","created":{"date-parts":[[2019,11,8]],"date-time":"2019-11-08T17:08:23Z","timestamp":1573232903000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Implementing two-qubit phase gates by exchanging non-Abelian quasiparticles"],"prefix":"10.1007","volume":"18","author":[{"given":"Hao","family":"Chen","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chao","family":"Kong","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kuo","family":"Hai","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0227-3961","authenticated-orcid":false,"given":"Wenhua","family":"Hai","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2019,11,8]]},"reference":[{"key":"2492_CR1","doi-asserted-by":"publisher","first-page":"1083","DOI":"10.1103\/RevModPhys.80.1083","volume":"80","author":"C Nayak","year":"2008","unstructured":"Nayak, C., Simon, S.H., Stern, A., Freedman, M., Sarma, S.D.: Non-Abelian anyons and topological quantum computation. Rev. Mod. Phys. 80, 1083 (2008)","journal-title":"Rev. Mod. Phys."},{"key":"2492_CR2","doi-asserted-by":"publisher","first-page":"187","DOI":"10.1038\/nature08915","volume":"464","author":"A Stern","year":"2010","unstructured":"Stern, A.: Non-Abelian states of matter. Nature (London) 464, 187 (2010)","journal-title":"Nature (London)"},{"key":"2492_CR3","doi-asserted-by":"publisher","first-page":"362","DOI":"10.1016\/0550-3213(91)90407-O","volume":"360","author":"G Moore","year":"1991","unstructured":"Moore, G., Read, N.: Nonabelions in the fractional quantum Hall effect. Nucl. Phys. B 360, 362 (1991)","journal-title":"Nucl. Phys. B"},{"key":"2492_CR4","doi-asserted-by":"publisher","first-page":"201","DOI":"10.1007\/s11128-018-1959-x","volume":"17","author":"LH Kauffman","year":"2018","unstructured":"Kauffman, L.H., Lomonaco, S.J.: Braiding, Majorana fermions, Fibonacci particles and topological quantum computing. Quantum Inf. Process. 17, 201 (2018)","journal-title":"Quantum Inf. Process."},{"key":"2492_CR5","doi-asserted-by":"publisher","first-page":"166802","DOI":"10.1103\/PhysRevLett.94.166802","volume":"94","author":"SD Sarma","year":"2005","unstructured":"Sarma, S.D., Freedman, M., Nayak, C.: Topologically protected qubits from a possible non-Abelian fractional quantum Hall state. Phys. Rev. Lett. 94, 166802 (2005)","journal-title":"Phys. Rev. Lett."},{"key":"2492_CR6","doi-asserted-by":"publisher","first-page":"268","DOI":"10.1103\/PhysRevLett.86.268","volume":"86","author":"DA Ivanov","year":"2001","unstructured":"Ivanov, D.A.: Non-Abelian statistics of half-quantum vortices in p-wave superconductors. Phys. Rev. Lett. 86, 268 (2001)","journal-title":"Phys. Rev. Lett."},{"key":"2492_CR7","doi-asserted-by":"publisher","first-page":"090402","DOI":"10.1103\/PhysRevLett.91.090402","volume":"91","author":"LM Duan","year":"2003","unstructured":"Duan, L.M., Demler, E., Lukin, M.D.: Controlling spin exchange interactions of ultracold atoms in optical lattices. Phys. Rev. Lett. 91, 090402 (2003)","journal-title":"Phys. Rev. Lett."},{"key":"2492_CR8","doi-asserted-by":"publisher","first-page":"137","DOI":"10.1103\/RevModPhys.87.137","volume":"87","author":"SR Elliott","year":"2015","unstructured":"Elliott, S.R., Franz, M.: Majorana fermions in nuclear, particle, and solid-state physics. Rev. Mod. Phys. 87, 137 (2015)","journal-title":"Rev. Mod. Phys."},{"key":"2492_CR9","doi-asserted-by":"publisher","first-page":"1003","DOI":"10.1126\/science.1222360","volume":"336","author":"V Mourik","year":"2012","unstructured":"Mourik, V., Zuo, K., Frolov, S.M., Plissard, S.R., Bakkers, E.P.A.M., Kouwenhoven, L.P.: Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices. Science 336, 1003 (2012)","journal-title":"Science"},{"key":"2492_CR10","doi-asserted-by":"publisher","first-page":"106805","DOI":"10.1103\/PhysRevLett.110.106805","volume":"110","author":"G Ben-Shach","year":"2013","unstructured":"Ben-Shach, G., Laumann, C.R., Neder, I., Yacoby, A., Halperin, B.I.: Detecting non-Abelian anyons by charging spectroscopy. Phys. Rev. Lett. 110, 106805 (2013)","journal-title":"Phys. Rev. Lett."},{"key":"2492_CR11","doi-asserted-by":"publisher","first-page":"016802","DOI":"10.1103\/PhysRevLett.96.016802","volume":"96","author":"A Stern","year":"2006","unstructured":"Stern, A., Halperin, B.I.: Proposed experiments to probe the non-Abelian $$\\nu =5\/2$$ quantum Hall state Phys. Rev. Lett. 96, 016802 (2006)","journal-title":"Rev. Lett."},{"key":"2492_CR12","doi-asserted-by":"publisher","first-page":"016401","DOI":"10.1103\/PhysRevLett.97.016401","volume":"97","author":"P Bonderson","year":"2006","unstructured":"Bonderson, P., Shtengel, K., Slingerland, J.K.: Probing non-Abelian statistics with quasiparticle interferometry. Phys. Rev. Lett. 97, 016401 (2006)","journal-title":"Phys. Rev. Lett."},{"key":"2492_CR13","doi-asserted-by":"publisher","first-page":"186803","DOI":"10.1103\/PhysRevLett.97.186803","volume":"97","author":"DE Feldman","year":"2006","unstructured":"Feldman, D.E., Kitaev, A.: Detecting non-Abelian statistics with an electronic Mach\u2013Zehnder interferometer. Phys. Rev. Lett. 97, 186803 (2006)","journal-title":"Phys. Rev. Lett."},{"key":"2492_CR14","doi-asserted-by":"publisher","first-page":"245","DOI":"10.1007\/s11128-018-2012-9","volume":"17","author":"C Galindo","year":"2018","unstructured":"Galindo, C., Rowell, E., Wang, Z.H.: On acyclic anyon models. Quantum Inf. Process. 17, 245 (2018)","journal-title":"Quantum Inf. Process."},{"key":"2492_CR15","doi-asserted-by":"publisher","first-page":"115136","DOI":"10.1103\/PhysRevB.95.115136","volume":"95","author":"RSK Mong","year":"2017","unstructured":"Mong, R.S.K., Zaletel, M.P., Pollmann, F., Papi\u0107, Z.: Fibonacci anyons and charge density order in the $$12\/5$$ and $$13\/5$$ quantum Hall plateaus. Phys. Rev. B 95, 115136 (2017)","journal-title":"Phys. Rev. B"},{"key":"2492_CR16","doi-asserted-by":"publisher","first-page":"050406","DOI":"10.1103\/PhysRevLett.98.050406","volume":"98","author":"H Pu","year":"2007","unstructured":"Pu, H., Maenner, P., Zhang, W.P., Ling, H.Y.: Adiabatic condition for nonlinear systems. Phys. Rev. Lett. 98, 050406 (2007)","journal-title":"Phys. Rev. Lett."},{"key":"2492_CR17","doi-asserted-by":"publisher","first-page":"012116","DOI":"10.1103\/PhysRevA.72.012116","volume":"72","author":"W Hai","year":"2005","unstructured":"Hai, W., Xie, Q., Fang, J.: Quantum chaos and order based on classically moving reference-frames. Phys. Rev. A 72, 012116 (2005)","journal-title":"Phys. Rev. A"},{"key":"2492_CR18","doi-asserted-by":"publisher","first-page":"278","DOI":"10.1140\/epjd\/e2015-60403-2","volume":"69","author":"H Chen","year":"2015","unstructured":"Chen, H., Tan, J.T., Hai, K., Zhang, X.L., Hai, W.: Controlling instability and phase hops of a kicked two-level ion in Lamb-Dicke regime. Eur. Phys. J. D 69, 278 (2015)","journal-title":"Eur. Phys. J. D"},{"key":"2492_CR19","doi-asserted-by":"publisher","first-page":"307","DOI":"10.1103\/RevModPhys.73.307","volume":"73","author":"AJ Leggett","year":"2001","unstructured":"Leggett, A.J.: Bose\u2013Einstein condensation in the alkali gases: some fundamental concepts. Rev. Mod. Phys. 73, 307 (2001)","journal-title":"Rev. Mod. Phys."},{"key":"2492_CR20","doi-asserted-by":"publisher","first-page":"247","DOI":"10.1103\/RevModPhys.83.247","volume":"83","author":"YV Kartashov","year":"2011","unstructured":"Kartashov, Y.V., Malomed, B.A., Torner, L.: Solitons in nonlinear lattices. Rev. Mod. Phys. 83, 247 (2011)","journal-title":"Rev. Mod. Phys."},{"key":"2492_CR21","doi-asserted-by":"publisher","first-page":"066610","DOI":"10.1103\/PhysRevE.73.066610","volume":"73","author":"L Li","year":"2006","unstructured":"Li, L., Malomed, B.A., Mihalache, D., Liu, W.M.: Exact soliton-on-plane-wave solutions for two-component Bose\u2013Einstein condensates. Phys. Rev. E 73, 066610 (2006)","journal-title":"Phys. Rev. E"},{"key":"2492_CR22","doi-asserted-by":"publisher","first-page":"36","DOI":"10.1038\/s41534-019-0148-9","volume":"5","author":"FL Gu","year":"2019","unstructured":"Gu, F.L., Liu, J., Mei, F., Jia, S.T., Zhang, D.W., Xue, Z.Y.: Synthetic spin-orbit coupling and topological polaritons in Janeys\u2013Cummings lattices. npj Quantum Information 5, 36 (2019)","journal-title":"npj Quantum Information"},{"key":"2492_CR23","doi-asserted-by":"publisher","first-page":"482","DOI":"10.1038\/nature12010","volume":"496","author":"AA Abdumalikov Jr","year":"2013","unstructured":"Abdumalikov Jr., A.A., Fink, J.M., Juliusson, K., Pechal, M., Berger, S., Wallraff, A., Filipp, S.: Experimental realization of non-Abelian non-adiabatic geometric gates. Nature (London) 496, 482 (2013)","journal-title":"Nature (London)"},{"key":"2492_CR24","doi-asserted-by":"publisher","first-page":"035401","DOI":"10.1103\/PhysRevA.90.035401","volume":"90","author":"NV Golubev","year":"2014","unstructured":"Golubev, N.V., Kuleff, A.I.: Control of populations of two-level systems by a single resonant laser pulse. Phys. Rev. A 90, 035401 (2014)","journal-title":"Phys. Rev. A"},{"key":"2492_CR25","doi-asserted-by":"publisher","first-page":"424","DOI":"10.1016\/j.rinp.2018.02.072","volume":"9","author":"H Chen","year":"2018","unstructured":"Chen, H., Kong, C., Hai, W.: Controlled ultrafast transfer and stability degree of generalized coherent states of a kicked two-level ion. Results Phys. 9, 424 (2018)","journal-title":"Results Phys."},{"key":"2492_CR26","doi-asserted-by":"publisher","first-page":"53","DOI":"10.1103\/RevModPhys.79.53","volume":"79","author":"P Kr\u00e1l","year":"2007","unstructured":"Kr\u00e1l, P., Thanopulos, I., Shapiro, M.: Coherently controlled adiabatic passage. Rev. Mod. Phys. 79, 53 (2007)","journal-title":"Rev. Mod. Phys."},{"key":"2492_CR27","doi-asserted-by":"publisher","first-page":"1131","DOI":"10.1126\/science.272.5265.1131","volume":"272","author":"C Monroe","year":"1996","unstructured":"Monroe, C., Meekhof, D.M., King, B.E., Wineland, D.J.: A \u201cSchr\u00f6dinger cat\u201d superposition state of an atom. Science 272, 1131 (1996)","journal-title":"Science"},{"key":"2492_CR28","doi-asserted-by":"publisher","first-page":"140402","DOI":"10.1103\/PhysRevLett.116.140402","volume":"116","author":"D Kienzler","year":"2016","unstructured":"Kienzler, D., Fluhmann, C., Negnevitsky, V., Lo, H.Y., Marinelli, M., Nadlinger, D., Home, J.P.: Observation of quantum interference between separated mechanical oscillator wave packets. Phys. Rev. Lett. 116, 140402 (2016)","journal-title":"Phys. Rev. Lett."},{"key":"2492_CR29","doi-asserted-by":"publisher","first-page":"2974","DOI":"10.1103\/PhysRevLett.73.2974","volume":"73","author":"FL Moore","year":"1994","unstructured":"Moore, F.L., Robinson, J.C., Bharucha, C.F., Williams, P.E., Raizen, M.G.: Observation of dynamical localization in atomic momentum transfer: a new testing ground for quantum chaos. Phys. Rev. Lett. 73, 2974 (1994)","journal-title":"Phys. Rev. Lett."},{"key":"2492_CR30","doi-asserted-by":"publisher","first-page":"203001","DOI":"10.1103\/PhysRevLett.110.203001","volume":"110","author":"J Mizrahi","year":"2013","unstructured":"Mizrahi, J., Senko, C., Neyenhuis, B., Johnson, K.G., Campbell, W.C., Conover, C.W.S., Monroe, C.: Ultrafast spin-motion entanglement and interferometry with a single atom. Phys. Rev. Lett. 110, 203001 (2013)","journal-title":"Phys. Rev. Lett."},{"key":"2492_CR31","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1126\/science.1243289","volume":"342","author":"B Vlastakis","year":"2013","unstructured":"Vlastakis, B., Kirchmair, G., Leghtas, Z., Nigg, S.E., Frunzio, L., Girvin, S.M., Mirrahimi, M., Devoret, M.H., Schoelkopf, R.J.: Deterministically encoding quantum information using 100-photon Schr\u00f6dinger cat states. Science 342, 1 (2013)","journal-title":"Science"},{"key":"2492_CR32","doi-asserted-by":"publisher","first-page":"3748","DOI":"10.1103\/PhysRevA.32.3748","volume":"32","author":"J Zakrzewski","year":"1985","unstructured":"Zakrzewski, J.: Analytic solutions of the two-state problem for a class of chirped pulses. Phys. Rev. A 32, 3748 (1985)","journal-title":"Phys. Rev. A"},{"key":"2492_CR33","doi-asserted-by":"publisher","first-page":"066802","DOI":"10.1103\/PhysRevLett.108.066802","volume":"108","author":"E Kapit","year":"2012","unstructured":"Kapit, E., Ginsparg, P., Mueller, E.: Non-Abelian braiding of lattice bosons. Phys. Rev. Lett. 108, 066802 (2012)","journal-title":"Phys. Rev. Lett."},{"key":"2492_CR34","doi-asserted-by":"publisher","first-page":"44","DOI":"10.1007\/s11128-018-1811-3","volume":"17","author":"LW Yu","year":"2018","unstructured":"Yu, L.W.: Local unitary representation of braids and N-qubit entanglements. Quantum Inf. Process. 17, 44 (2018)","journal-title":"Quantum Inf. Process."},{"key":"2492_CR35","doi-asserted-by":"publisher","first-page":"3651","DOI":"10.1007\/s11128-016-1362-4","volume":"15","author":"S Hu","year":"2016","unstructured":"Hu, S., Cui, W.X., Guo, Q., Wang, H.F., Zhu, A.D., Zhang, S.: Multi-qubit non-adiabatic holonomic controlled quantum gates in decoherence-free subspaces. Quantum Inf. Process. 15, 3651 (2016)","journal-title":"Quantum Inf. Process."},{"key":"2492_CR36","doi-asserted-by":"publisher","first-page":"4714","DOI":"10.1103\/PhysRevLett.75.4714","volume":"75","author":"C Monroe","year":"1995","unstructured":"Monroe, C., Meekhof, D.M., King, B.E., Itano, W.M., Wineland, D.J.: Demonstration of a fundamental quantum logic gate Phys. Rev. Lett. 75, 4714 (1995)","journal-title":"Rev. Lett."},{"key":"2492_CR37","doi-asserted-by":"publisher","first-page":"032304","DOI":"10.1103\/PhysRevA.63.032304","volume":"63","author":"L Hardy","year":"2001","unstructured":"Hardy, L., Song, D.D.: Universal manipulation of a single qubit. Phys. Rev. A 63, 032304 (2001)","journal-title":"Phys. Rev. A"},{"key":"2492_CR38","doi-asserted-by":"publisher","first-page":"2687C2727","DOI":"10.1007\/s11128-015-1016-y","volume":"14","author":"SX Cui","year":"2015","unstructured":"Cui, S.X., Hong, S.M., Wang, Z.H.: Universal quantum computation with weakly integral anyons. Quantum Inf. Process. 14, 2687C2727 (2015)","journal-title":"Quantum Inf. Process."},{"key":"2492_CR39","doi-asserted-by":"publisher","first-page":"022328","DOI":"10.1103\/PhysRevA.95.022328","volume":"95","author":"M Palmero","year":"2017","unstructured":"Palmero, M., Mart\u00ednez-Garaot, S., Leibfried, D., Wineland, D.J., Muga, J.G.: Fast phase gates with trapped ions. Phys. Rev. A 95, 022328 (2017)","journal-title":"Phys. Rev. A"},{"key":"2492_CR40","doi-asserted-by":"publisher","first-page":"032301","DOI":"10.1103\/PhysRevA.89.032301","volume":"89","author":"VS Malinovsky","year":"2014","unstructured":"Malinovsky, V.S., Sola, I.R., Vala, J.: Phase-controlled two-qubit quantum gates. Phys. Rev. A 89, 032301 (2014)","journal-title":"Phys. Rev. A"},{"key":"2492_CR41","doi-asserted-by":"publisher","first-page":"1971","DOI":"10.1103\/PhysRevLett.82.1971","volume":"82","author":"A Sorensen","year":"1999","unstructured":"Sorensen, A., Molmer, K.: Quantum computation with ions in thermal motion. Phys. Rev. Lett. 82, 1971 (1999)","journal-title":"Phys. Rev. Lett."},{"key":"2492_CR42","doi-asserted-by":"publisher","first-page":"4091","DOI":"10.1103\/PhysRevLett.74.4091","volume":"74","author":"JI Cirac","year":"1995","unstructured":"Cirac, J.I., Zoller, P.: Quantum computations with cold trapped ions. Phys. Rev. Lett. 74, 4091 (1995)","journal-title":"Phys. Rev. Lett."},{"key":"2492_CR43","doi-asserted-by":"publisher","first-page":"256","DOI":"10.1038\/35005011","volume":"404","author":"CA Sackett","year":"2000","unstructured":"Sackett, C.A., Kielpinski, D., King, B.E., Langer, C., Meyer, V., Myatt, C.J., Rowe, M., Turchette, Q.A., Itano, W.M., Wineland, D.J., Monroe, C.: Experimental entanglement of four particles. Nature 404, 256 (2000)","journal-title":"Nature"},{"key":"2492_CR44","doi-asserted-by":"publisher","first-page":"412","DOI":"10.1038\/nature01492","volume":"422","author":"D Leibfried","year":"2003","unstructured":"Leibfried, D., DeMarco, B., Meyer, V., Lucas, D., Barrett, M., Britton, J., Itano, W.M., Jelenkovi\u0107, B., Langer, C., Rosenband, T., Wineland, D.J.: Experimental demonstration of a robust, high-fidelity geometric two ion-qubit phase gate. Nature 422, 412 (2003)","journal-title":"Nature"},{"key":"2492_CR45","doi-asserted-by":"publisher","first-page":"1695","DOI":"10.1126\/science.1058835","volume":"292","author":"LM Duan","year":"2001","unstructured":"Duan, L.M., Cirac, J.I., Zoller, P.: Geometric manipulation of trapped ions for quantum computation. Science 292, 1695 (2001)","journal-title":"Science"},{"key":"2492_CR46","volume-title":"Global Properties of Simple Physical Systems, Chapter 8 Topological Analyses of Geometrical Phases","author":"HZ Li","year":"1998","unstructured":"Li, H.Z.: Global Properties of Simple Physical Systems, Chapter 8 Topological Analyses of Geometrical Phases. Shanghai Scientific and Technical Publishers, Shanghai (1998). (in Chinese)"},{"key":"2492_CR47","volume-title":"Quantum Mechanics (Vol. 2), Chapter 4 Phase in Quantum Mechanics","author":"JY Zeng","year":"2000","unstructured":"Zeng, J.Y.: Quantum Mechanics (Vol. 2), Chapter 4 Phase in Quantum Mechanics. Science Press, Beijing (2000). (in Chinese)"},{"key":"2492_CR48","doi-asserted-by":"publisher","first-page":"1322","DOI":"10.1103\/PhysRevLett.81.1322","volume":"81","author":"JF Poyatos","year":"1998","unstructured":"Poyatos, J.F., Cirac, J.I., Zoller, P.: Quantum gates with hot trapped ions. Phys. Rev. Lett. 81, 1322 (1998)","journal-title":"Phys. Rev. Lett."},{"key":"2492_CR49","doi-asserted-by":"publisher","first-page":"052335","DOI":"10.1103\/PhysRevA.95.052335","volume":"95","author":"MJA Schuetz","year":"2017","unstructured":"Schuetz, M.J.A., Giedke, G., Vandersypen, L.M.K., Cirac, J.I.: High-fidelity hot gates for generic spin-resonator systems. Phys. Rev. A 95, 052335 (2017)","journal-title":"Phys. Rev. A"},{"key":"2492_CR50","doi-asserted-by":"publisher","first-page":"281","DOI":"10.1103\/RevModPhys.75.281","volume":"75","author":"D Leibfried","year":"2003","unstructured":"Leibfried, D., Blatt, R., Monroe, C., Wineland, D.: Quantum dynamics of single trapped ions. Rev. Mod. Phys. 75, 281 (2003)","journal-title":"Rev. Mod. Phys."},{"key":"2492_CR51","doi-asserted-by":"publisher","first-page":"4790","DOI":"10.1103\/PhysRevLett.79.4790","volume":"79","author":"SA Gardiner","year":"1997","unstructured":"Gardiner, S.A., Cirac, J.I., Zoller, P.: Quantum chaos in an ion trap: the delta-kicked harmonic oscillator. Phys. Rev. Lett. 79, 4790 (1997)","journal-title":"Phys. Rev. Lett."},{"key":"2492_CR52","doi-asserted-by":"publisher","first-page":"023403","DOI":"10.1103\/PhysRevA.61.023403","volume":"61","author":"GP Berman","year":"2000","unstructured":"Berman, G.P., James, D.F.V., Hughes, R.J., Gulley, M.S., Holzscheiter, M.H., L\u00f3pez, G.V.: Dynamical stability and quantum chaos of ions in a linear trap. Phys. Rev. A 61, 023403 (2000)","journal-title":"Phys. Rev. A"},{"key":"2492_CR53","doi-asserted-by":"publisher","first-page":"3086","DOI":"10.1103\/PhysRevLett.78.3086","volume":"78","author":"Y Wu","year":"1997","unstructured":"Wu, Y., Yang, X.X.: Jaynes-Cummings model for a trapped ion in any position of a standing wave. Phys. Rev. Lett. 78, 3086 (1997)","journal-title":"Phys. Rev. Lett."},{"key":"2492_CR54","doi-asserted-by":"publisher","first-page":"401","DOI":"10.1088\/0305-4470\/39\/2\/010","volume":"39","author":"G Lu","year":"2006","unstructured":"Lu, G., Hai, W., Xie, Q.: Controlling quantum motions of a trapped and driven electron: an exact analytic treatment. J. Phys. A 39, 401 (2006)","journal-title":"J. Phys. A"},{"key":"2492_CR55","doi-asserted-by":"publisher","first-page":"455302","DOI":"10.1088\/1751-8113\/43\/45\/455302","volume":"43","author":"Q Chen","year":"2010","unstructured":"Chen, Q., Hai, K., Hai, W.: Controlling quantum motions of a Paul trapped ion via a double rf driving. J. Phys. A 43, 455302 (2010)","journal-title":"J. Phys. A"},{"key":"2492_CR56","first-page":"456","volume":"17","author":"K Hai","year":"2017","unstructured":"Hai, K., Luo, Y., Chong, G., Chen, H., Hai, W.: Ultrafast generation of an exact Schr\u00f6dinger-cat state. Quantum Inf. Comput. 17, 456 (2017)","journal-title":"Quantum Inf. Comput."},{"key":"2492_CR57","doi-asserted-by":"publisher","first-page":"215301","DOI":"10.1103\/PhysRevLett.110.215301","volume":"110","author":"ZH Xu","year":"2013","unstructured":"Xu, Z.H., Li, L.H., Chen, S.: Fractional topological states of dipolar fermions in one-dimensional optical superlattices. Phys. Rev. Lett. 110, 215301 (2013)","journal-title":"Phys. Rev. Lett."},{"key":"2492_CR58","doi-asserted-by":"publisher","first-page":"220401","DOI":"10.1103\/PhysRevLett.108.220401","volume":"108","author":"LJ Lang","year":"2012","unstructured":"Lang, L.J., Cai, X.M., Chen, S.: Edge states and topological phases in one-dimensional optical superlattices. Phys. Rev. Lett. 108, 220401 (2012)","journal-title":"Phys. Rev. Lett."},{"key":"2492_CR59","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.aop.2013.08.006","volume":"339","author":"HD Liu","year":"2013","unstructured":"Liu, H.D., Yi, X.X., Fu, L.B.: Berry phase and Hannays angle in the BornCOppenheimer hybrid systems. Ann. Phys. 339, 1 (2013)","journal-title":"Ann. Phys."},{"key":"2492_CR60","doi-asserted-by":"publisher","first-page":"1101","DOI":"10.1103\/RevModPhys.75.1101","volume":"75","author":"M Ganpathy","year":"2003","unstructured":"Ganpathy, M., Shankar, R.: Hamiltonian theories of the fractional quantum Hall effect. Rev. Mod. Phys. 75, 1101 (2003)","journal-title":"Rev. Mod. Phys."},{"key":"2492_CR61","doi-asserted-by":"publisher","first-page":"83","DOI":"10.1126\/science.1122858","volume":"312","author":"A Ourjoumtsev","year":"2006","unstructured":"Ourjoumtsev, A., Tualle-Brouri, R., Laurat, J., Grangier, P.: Generating optical Schr\u00f6dinger kittens for quantum information processing. Sciences 312, 83 (2006)","journal-title":"Sciences"},{"key":"2492_CR62","doi-asserted-by":"publisher","first-page":"157901","DOI":"10.1103\/PhysRevLett.91.157901","volume":"91","author":"JJ Garc\u00eda-Ripoll","year":"2003","unstructured":"Garc\u00eda-Ripoll, J.J., Zoller, P., Cirac, J.I.: Speed optimized two-qubit gates with laser coherent control techniques for ion trap quantum computing. Phys. Rev. Lett. 91, 157901 (2003)","journal-title":"Phys. Rev. Lett."},{"key":"2492_CR63","doi-asserted-by":"crossref","unstructured":"Greiter, M., Haldane F. D. M., Thomale R.: Non-Abelian Statistics in one dimension: topological momentum spacings and SU(2) level $$k$$ fusion rules. \narXiv:1905.09728\n\n (2019)","DOI":"10.1103\/PhysRevB.100.115107"},{"key":"2492_CR64","doi-asserted-by":"publisher","first-page":"012304","DOI":"10.1103\/PhysRevA.89.012304","volume":"89","author":"LS Simeonov","year":"2014","unstructured":"Simeonov, L.S., Ivanov, P.A., Vitanov, N.V.: Speeding up conditional quantum logic of trapped ion qubits with overlapping pulses. Phys. Rev. A 89, 012304 (2014)","journal-title":"Phys. Rev. A"},{"key":"2492_CR65","doi-asserted-by":"publisher","first-page":"100502","DOI":"10.1103\/PhysRevLett.93.100502","volume":"93","author":"LM Duan","year":"2004","unstructured":"Duan, L.M.: Scaling ion trap quantum computation through fast quantum gates. Phys. Rev. Lett. 93, 100502 (2004)","journal-title":"Phys. Rev. Lett."}],"container-title":["Quantum Information Processing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-019-2492-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11128-019-2492-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-019-2492-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,11,7]],"date-time":"2020-11-07T00:40:28Z","timestamp":1604709628000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11128-019-2492-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,11,8]]},"references-count":65,"journal-issue":{"issue":"12","published-print":{"date-parts":[[2019,12]]}},"alternative-id":["2492"],"URL":"https:\/\/doi.org\/10.1007\/s11128-019-2492-2","relation":{},"ISSN":["1570-0755","1573-1332"],"issn-type":[{"type":"print","value":"1570-0755"},{"type":"electronic","value":"1573-1332"}],"subject":[],"published":{"date-parts":[[2019,11,8]]},"assertion":[{"value":"15 March 2019","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"26 October 2019","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"8 November 2019","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"379"}}