{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,6]],"date-time":"2026-06-06T02:00:58Z","timestamp":1780711258102,"version":"3.54.1"},"reference-count":50,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2015,1,10]],"date-time":"2015-01-10T00:00:00Z","timestamp":1420848000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Quantum Inf Process"],"published-print":{"date-parts":[[2015,3]]},"DOI":"10.1007\/s11128-014-0905-9","type":"journal-article","created":{"date-parts":[[2015,1,9]],"date-time":"2015-01-09T12:28:45Z","timestamp":1420806525000},"page":"901-920","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":11,"title":["Deterministic generations of quantum state with no more than six qubits"],"prefix":"10.1007","volume":"14","author":[{"given":"Ming-Xing","family":"Luo","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Song-Ya","family":"Ma","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yun","family":"Deng","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xiaojun","family":"Wang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2015,1,10]]},"reference":[{"key":"905_CR1","doi-asserted-by":"crossref","unstructured":"Paige, C.C., Wei, M.: History and generality of the CS decomposition. Linear Algebra Appl. 208(209), 303\u2013326 (1994)","DOI":"10.1016\/0024-3795(94)90446-4"},{"key":"905_CR2","doi-asserted-by":"crossref","first-page":"3457","DOI":"10.1103\/PhysRevA.52.3457","volume":"52","author":"A Barenco","year":"1995","unstructured":"Barenco, A., Bennett, C.H., Cleve, R., DiVincenzo, D.P., Margolus, N., Shor, P., Sleator, T., Smolin, J.A., Weinfurter, H.: Elementary gates for quantum computation. Phys. Rev. A 52, 3457 (1995)","journal-title":"Phys. Rev. A"},{"key":"905_CR3","doi-asserted-by":"crossref","first-page":"010301","DOI":"10.1103\/PhysRevA.69.010301","volume":"69","author":"G Vidal","year":"2004","unstructured":"Vidal, G., Dawson, C.M.: Universal quantum circuit for two-qubit transformations with three controlled-NOT gates. Phys. Rev. A 69, 010301 (2004)","journal-title":"Phys. Rev. A"},{"key":"905_CR4","doi-asserted-by":"crossref","first-page":"062321","DOI":"10.1103\/PhysRevA.69.062321","volume":"69","author":"V Shende","year":"2004","unstructured":"Shende, V., Markov, I., Bullock, S.: Minimal universal two-qubit controlled-NOT-based circuits. Phys. Rev. A 69, 062321 (2004)","journal-title":"Phys. Rev. A"},{"key":"905_CR5","doi-asserted-by":"crossref","first-page":"1000","DOI":"10.1109\/TCAD.2005.855930","volume":"26","author":"V Shende","year":"2006","unstructured":"Shende, V., Bullock, S.S., Markov, I.L.: Synthesis of quantum-logic circuits. IEEE Trans. Comput. AID Des. 26, 1000\u20131010 (2006)","journal-title":"IEEE Trans. Comput. AID Des."},{"key":"905_CR6","doi-asserted-by":"crossref","first-page":"1133","DOI":"10.1126\/science.1121541","volume":"311","author":"MA Nielsen","year":"2006","unstructured":"Nielsen, M.A., Dowling, M.R., Gu, M., Doherty, A.C.: Quantum computation as geometry. Science 311, 1133 (2006)","journal-title":"Science"},{"key":"905_CR7","doi-asserted-by":"crossref","first-page":"052318","DOI":"10.1103\/PhysRevA.71.052318","volume":"71","author":"GK Brennen","year":"2005","unstructured":"Brennen, G.K., O\u2019Leary, D.P., Bullock, S.S.: Criteria for exact qudit universality. Phys. Rev. A 71, 052318 (2005)","journal-title":"Phys. Rev. A"},{"key":"905_CR8","doi-asserted-by":"crossref","first-page":"2594","DOI":"10.1038\/srep02594","volume":"3","author":"B Li","year":"2013","unstructured":"Li, B., Yu, Z.-H., Fei, S.-M.: Geometry of quantum computation with qutrits. Sci. Rep. 3, 2594 (2013)","journal-title":"Sci. Rep."},{"key":"905_CR9","doi-asserted-by":"crossref","first-page":"1712","DOI":"10.1007\/s11433-014-5551-9","volume":"57","author":"MX Luo","year":"2014","unstructured":"Luo, M.X., Wang, X.: Universal quantum computation with qudits. Sci. China Phys. Mech. Astron. 57, 1712\u20131717 (2014)","journal-title":"Sci. China Phys. Mech. Astron."},{"key":"905_CR10","doi-asserted-by":"crossref","first-page":"4044","DOI":"10.1038\/srep04044","volume":"4","author":"M-X Luo","year":"2014","unstructured":"Luo, M.-X., Chen, X.-B., Yang, Y.-X., Wang, X.: Geometry of quantum computation with qudits. Sci. Rep. 4, 4044 (2014)","journal-title":"Sci. Rep."},{"key":"905_CR11","doi-asserted-by":"crossref","first-page":"1484","DOI":"10.1137\/S0097539795293172","volume":"26","author":"PW Shor","year":"1997","unstructured":"Shor, P.W.: Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer. SIAM J. Comput. 26, 1484\u20131509 (1997)","journal-title":"SIAM J. Comput."},{"key":"905_CR12","doi-asserted-by":"crossref","first-page":"243","DOI":"10.1038\/nphoton.2010.6","volume":"4","author":"W Bimbard","year":"2010","unstructured":"Bimbard, W., Jain, N., MacRae, A., Lvovsky, A.I.: Quantum-optical state engineering up to the two-photon level. Nat. Photonics 4, 243\u2013247 (2010)","journal-title":"Nat. Photonics"},{"key":"905_CR13","doi-asserted-by":"crossref","first-page":"210505","DOI":"10.1103\/PhysRevLett.95.210505","volume":"95","author":"N Kiesel","year":"2005","unstructured":"Kiesel, N., Schmid, C., Weber, U., Ursin, R., Weinfurter, H.: Linear optics controlled-phase gate made simple. Phys. Rev. Lett. 95, 210505 (2005)","journal-title":"Phys. Rev. Lett."},{"key":"905_CR14","doi-asserted-by":"crossref","first-page":"044303","DOI":"10.1103\/PhysRevA.74.044303","volume":"74","author":"YF Xiao","year":"2006","unstructured":"Xiao, Y.F., Zou, X.B., Han, Z.F., Guo, G.C.: Quantum phase gate in an optical cavity with atomic cloud. Phys. Rev. A 74, 044303 (2006)","journal-title":"Phys. Rev. A"},{"key":"905_CR15","doi-asserted-by":"crossref","first-page":"60001","DOI":"10.1209\/0295-5075\/80\/60001","volume":"80","author":"J Song","year":"2007","unstructured":"Song, J., Xia, Y., Song, H.-S., Guo, J.-L., Nie, J.: Quantum computation and entangled-state generation through adiabatic evolution in two distant cavities. EPL 80, 60001 (2007)","journal-title":"EPL"},{"key":"905_CR16","doi-asserted-by":"crossref","first-page":"063808","DOI":"10.1103\/PhysRevA.76.063808","volume":"76","author":"NM VanMeter","year":"2007","unstructured":"VanMeter, N.M., Lougovski, P., Uskov, D.B., Kieling, K., Eisert, J., Dowling, J.P.: General linear-optical quantum state generation scheme: applications to maximally path-entangled states. Phys. Rev. A 76, 063808 (2007)","journal-title":"Phys. Rev. A"},{"key":"905_CR17","doi-asserted-by":"crossref","first-page":"310","DOI":"10.1038\/nature07136","volume":"454","author":"M Hofheinz","year":"2008","unstructured":"Hofheinz, M., Weig, E.M., Ansmann, M., Bialczak, R.C., Lucero, E., Neeley, M., O\u2019Connell, A.D., Wang, H., Martinis, J.M., Cleland, A.N.: Generation of Fock states in a superconducting quantum circuit. Nature 454, 310\u2013314 (2008)","journal-title":"Nature"},{"key":"905_CR18","doi-asserted-by":"crossref","first-page":"91","DOI":"10.1038\/nphys507","volume":"3","author":"C-Y Lu","year":"2007","unstructured":"Lu, C.-Y., Zhou, X.-Q., Guhne, O., Gao, W.B., Zhang, J., Yuan, Z.S., Goebel, A., Yang, T., Pan, J.-W.: Experimental entanglement of six photons in graph states. Nat. Phys. 3, 91\u201395 (2007)","journal-title":"Nat. Phys."},{"key":"905_CR19","doi-asserted-by":"crossref","first-page":"331","DOI":"10.1038\/nphys1603","volume":"6","author":"W-B Gao","year":"2010","unstructured":"Gao, W.-B., Lu, C.-Y., Yao, X.-C., Xu, P., Guhne, O., Goebel, A., Chen, Y.A., Peng, C.Z., Chen, Z.B., Pan, J.-W.: Experimental demonstration of a hyper-entangled ten-qubit Schrodinger cat state. Nat. Phys. 6, 331\u2013335 (2010)","journal-title":"Nat. Phys."},{"key":"905_CR20","doi-asserted-by":"crossref","first-page":"549","DOI":"10.1038\/nphoton.2010.123","volume":"4","author":"C Wagenknecht","year":"2010","unstructured":"Wagenknecht, C., Li, C.M., Reingruber, A., Bao, X.H., Goebel, A., Chen, Y.A., Zhang, Q., Chen, K., Pan, J.-W.: Experimental demonstration of a heralded entanglement source. Nat. Photonics 4, 549\u2013552 (2010)","journal-title":"Nat. Photonics"},{"key":"905_CR21","doi-asserted-by":"crossref","first-page":"1478","DOI":"10.1126\/science.1097522","volume":"304","author":"CF Roos","year":"2004","unstructured":"Roos, C.F., Riebe, M., Hoffner, H., Honsel, W., Benhelm, J., Lancaster, G.P.T., Becher, C., Schmidt-Kaler, F., Blatt, R.: Control and measurement of three-qubit entangled states. Science 304, 1478\u20131480 (2004)","journal-title":"Science"},{"key":"905_CR22","doi-asserted-by":"crossref","first-page":"044301","DOI":"10.1103\/PhysRevA.75.044301","volume":"75","author":"CS Yu","year":"2007","unstructured":"Yu, C.S., Yi, X.X., Song, H.S., Mei, D.: Robust preparation of Greenberger-Horne-Zeilinger and W states of three distant atoms. Phys. Rev. A 75, 044301 (2007)","journal-title":"Phys. Rev. A"},{"key":"905_CR23","doi-asserted-by":"crossref","first-page":"574","DOI":"10.1038\/nature09416","volume":"467","author":"L DiCarlo","year":"2010","unstructured":"DiCarlo, L., Reed, M.D., Sun, L., Johnson, B.R., Chow, J.M., Gambetta, J.M., Frunzio, L., Girvin, S.M., Devoret, M.H., Schoelkopf, R.J.: Preparation and measurement of three-qubit entanglement in a superconducting circuit. Nature 467, 574\u2013578 (2010)","journal-title":"Nature"},{"key":"905_CR24","doi-asserted-by":"crossref","first-page":"570","DOI":"10.1038\/nature09418","volume":"467","author":"M Neeley","year":"2010","unstructured":"Neeley, M., Bialczak, R.C., Lenander, M., Lucero, E., Mariantoni, M., O\u2019Connell, A.D., Sank, D., Wang, H., Weides, M., Wenner, J., Yin, Y., Yamamoto, T., Cleland, A.N., Martinis, J.M.: Generation of three-qubit entangled states using superconducting phase qubits. Nature 467, 570\u2013573 (2010)","journal-title":"Nature"},{"key":"905_CR25","doi-asserted-by":"crossref","first-page":"032302","DOI":"10.1103\/PhysRevA.83.032302","volume":"83","author":"M Plesch","year":"2011","unstructured":"Plesch, M., Brukner, C.: Quantum state preparation with universal gate decompositions. Phys. Rev. A 83, 032302 (2011)","journal-title":"Phys. Rev. A"},{"key":"905_CR26","doi-asserted-by":"crossref","first-page":"751","DOI":"10.1007\/s11128-011-0283-5","volume":"11","author":"M-X Luo","year":"2012","unstructured":"Luo, M.-X., Chen, X.-B., Yang, Y.-X., Niu, X.-X.: Experiment architecture of joint remote state preparation. Quantum Inf. Proc. 11, 751\u2013767 (2012)","journal-title":"Quantum Inf. Proc."},{"key":"905_CR27","doi-asserted-by":"crossref","first-page":"345","DOI":"10.24033\/asens.781","volume":"44","author":"E Cartan","year":"1927","unstructured":"Cartan, E.: Sur certaines formes riemanniennes remarquables des geometriesa groupe fondamental simple. Ann. Sci. Ec. Norm. Super. 44, 345 (1927)","journal-title":"Ann. Sci. Ec. Norm. Super."},{"key":"905_CR28","doi-asserted-by":"crossref","first-page":"11","DOI":"10.1016\/S0301-0104(01)00318-4","volume":"267","author":"N Khaneja","year":"2001","unstructured":"Khaneja, N., Glaser, S.: Cartan decomposition of $$SU(n)$$ S U ( n ) and control of spin systems. Chem. Phys. 267, 11\u201323 (2001)","journal-title":"Chem. Phys."},{"key":"905_CR29","unstructured":"Golub, G.H., Van Loan, C.F.: Matrix Computations, 3rd edn. Johns Hopkins University Press, Baltimore (1996)"},{"key":"905_CR30","doi-asserted-by":"crossref","first-page":"4796","DOI":"10.1016\/j.optcom.2010.07.043","volume":"83","author":"M-X Luo","year":"2010","unstructured":"Luo, M.-X., Chen, X.-B., Ma, S.-Y., Niu, X.-X., Yang, Y.-X.: Joint remote preparation of an arbitrary three-qubit state. Opt. Commun. 83, 4796\u20134801 (2010)","journal-title":"Opt. Commun."},{"key":"905_CR31","volume-title":"Quantum Computation and Quantum Information","author":"MA Nielsen","year":"2000","unstructured":"Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)"},{"key":"905_CR32","doi-asserted-by":"crossref","first-page":"180501","DOI":"10.1103\/PhysRevLett.100.180501","volume":"100","author":"A Cernoch","year":"2008","unstructured":"Cernoch, A., Soubusta, J., Bartukova, L., Dusek, M., Fiurasek, J.: Experimental realization of linear-optical partial swap gates. Phys. Rev. Lett. 100, 180501 (2008)","journal-title":"Phys. Rev. Lett."},{"key":"905_CR33","doi-asserted-by":"crossref","first-page":"134","DOI":"10.1038\/nphys1150","volume":"5","author":"BP Lanyon","year":"2009","unstructured":"Lanyon, B.P., Barbieri, M., Almeida, M.P., Jennewein, T., Ralph, T.C., Resch, K.J., Pryde, G.J., O\u2019Brien, J.L., Gilchrist, A., White, A.G.: Simplifying quantum logic using higher-dimensional Hilbert spaces. Nat. Phys. 5, 134\u2013140 (2009)","journal-title":"Nat. Phys."},{"key":"905_CR34","doi-asserted-by":"crossref","first-page":"040501","DOI":"10.1103\/PhysRevLett.102.040501","volume":"102","author":"T Monz","year":"2009","unstructured":"Monz, T., Kim, K., Hensel, W., Riebe, M., Villar, A.S., Schindler, P., Chwalla, M., Hennrich, M., Blatt, R.: Realization of the quantum Toffoli gate with trapped Ions. Phys. Rev. Lett. 102, 040501 (2009)","journal-title":"Phys. Rev. Lett."},{"key":"905_CR35","doi-asserted-by":"crossref","first-page":"170","DOI":"10.1038\/nature10713","volume":"481","author":"A Fedorov","year":"2012","unstructured":"Fedorov, A., Steffen, L., Baur, M., da Silva, M.P., Wallraff, A.: Implementation of a Toffoli gate with superconducting circuits. Nature 481, 170\u2013172 (2012)","journal-title":"Nature"},{"key":"905_CR36","doi-asserted-by":"crossref","first-page":"012326","DOI":"10.1103\/PhysRevA.86.012326","volume":"86","author":"SB Zheng","year":"2012","unstructured":"Zheng, S.B.: Simplified construction and physical realization of n-qubit controlled phase gates. Phys. Rev. A 86, 012326 (2012)","journal-title":"Phys. Rev. A"},{"key":"905_CR37","doi-asserted-by":"crossref","first-page":"30006","DOI":"10.1209\/0295-5075\/87\/30006","volume":"87","author":"J-M Liu","year":"2009","unstructured":"Liu, J.-M., Feng, X.-L., Oh, C.H.: Remote preparation of arbitrary two- and three-qubit states. EPL 87, 30006 (2009)","journal-title":"EPL"},{"key":"905_CR38","doi-asserted-by":"crossref","first-page":"40005","DOI":"10.1209\/0295-5075\/98\/40005","volume":"98","author":"Y-B Zhan","year":"2012","unstructured":"Zhan, Y.-B.: Deterministic remote preparation of arbitrary two- and three-qubit states. EPL 98, 40005 (2012)","journal-title":"EPL"},{"key":"905_CR39","doi-asserted-by":"crossref","first-page":"130502","DOI":"10.1103\/PhysRevLett.93.130502","volume":"93","author":"M M\u00f6tt\u00f6en","year":"2004","unstructured":"M\u00f6tt\u00f6en, M., Vartiainen, J.J., Bergholm, V., Salomaa, M.M.: Quantum circuits for general multiqubit gates. Phys. Rev. Lett. 93, 130502 (2004)","journal-title":"Phys. Rev. Lett."},{"key":"905_CR40","unstructured":"Saeedi, M., Arabzadeh, M., Zamani, M. S., Sedighi, M.: Block-based quantum-logic synthesis, arXiv:1011.2159 (2010)"},{"key":"905_CR41","first-page":"467","volume":"5","author":"M M\u00f6tt\u00f6en","year":"2005","unstructured":"M\u00f6tt\u00f6en, M., Vartiainen, J.J., Bergholm, V., Salomaa, M.M.: Transformation of quantum states using uniformly controlled rotations. Quant. Inf. Comput. 5, 467 (2005)","journal-title":"Quant. Inf. Comput."},{"key":"905_CR42","doi-asserted-by":"crossref","first-page":"177902","DOI":"10.1103\/PhysRevLett.92.177902","volume":"92","author":"J Vartiainen","year":"2004","unstructured":"Vartiainen, J., M\u00f6tt\u00f6en, M., Salomaa, M.M.: Efficient decomposition of quantum gates. Phys. Rev. Lett. 92, 177902 (2004)","journal-title":"Phys. Rev. Lett."},{"key":"905_CR43","volume-title":"Synthesis of Reversible Functions Beyond Gate Count and Quantum Cost","author":"R Wille","year":"2009","unstructured":"Wille, R., Saeedi, M., Drechsler, R.: Synthesis of Reversible Functions Beyond Gate Count and Quantum Cost. International Workshop on Logic Synthesis (IWLS), San Francisco (2009)"},{"key":"905_CR44","doi-asserted-by":"crossref","first-page":"230502","DOI":"10.1103\/PhysRevLett.94.230502","volume":"94","author":"SS Bullock","year":"2005","unstructured":"Bullock, S.S., O\u2019Leary, D.P., Brennen, G.K.: Asymptotically optimal quantum circuits for $$d$$ d -level systems. Phys. Rev. Lett. 94, 230502 (2005)","journal-title":"Phys. Rev. Lett."},{"key":"905_CR45","doi-asserted-by":"crossref","first-page":"022102","DOI":"10.1103\/PhysRevA.61.022102","volume":"61","author":"B Hladk\u00fd","year":"2000","unstructured":"Hladk\u00fd, B., Drobn\u00fd, G., Bu\u017ek, V.: Quantum synthesis of arbitrary unitary operators. Phys. Rev. A 61, 022102 (2000)","journal-title":"Phys. Rev. A"},{"key":"905_CR46","doi-asserted-by":"crossref","first-page":"1334","DOI":"10.1103\/PhysRevLett.85.1334","volume":"85","author":"LK Grover","year":"2000","unstructured":"Grover, L.K.: Synthesis of quantum superpositions by quantum computation. Phys. Rev. Lett. 85, 1334 (2000)","journal-title":"Phys. Rev. Lett."},{"key":"905_CR47","doi-asserted-by":"crossref","first-page":"044308","DOI":"10.1103\/PhysRevA.66.044308","volume":"66","author":"J Zhang","year":"2002","unstructured":"Zhang, J., Lu, Z., Shan, L., Deng, Z.: Synthesizing NMR analogs of Einstein-Podolsky-Rosen states using the generalized Grover\u2019s algorithm. Phys. Rev. A 66, 044308 (2002)","journal-title":"Phys. Rev. A"},{"key":"905_CR48","doi-asserted-by":"crossref","first-page":"042320","DOI":"10.1103\/PhysRevA.71.042320","volume":"71","author":"D Shapira","year":"2005","unstructured":"Shapira, D., Shimoni, Y., Biham, O.: Algebraic analysis of quantum search with pure and mixed states. Phys. Rev. A 71, 042320 (2005)","journal-title":"Phys. Rev. A"},{"key":"905_CR49","doi-asserted-by":"crossref","first-page":"012305","DOI":"10.1103\/PhysRevA.70.012305","volume":"70","author":"G Hayato","year":"2004","unstructured":"Hayato, G., Kouichi, I.: Multiqubit controlled unitary gate by adiabatic passage with an optical cavity. Phys. Rev. A 70, 012305 (2004)","journal-title":"Phys. Rev. A"},{"key":"905_CR50","doi-asserted-by":"crossref","first-page":"012323","DOI":"10.1103\/PhysRevA.73.012323","volume":"73","author":"X-M Lin","year":"2006","unstructured":"Lin, X.-M., Zhou, Z.-W., Ye, M.-Y., Xiao, Y.-F., Guo, G.-C.: One-step implementation of a multiqubit controlled-phase-flip gate. Phys. Rev. A 73, 012323 (2006)","journal-title":"Phys. Rev. A"}],"container-title":["Quantum Information Processing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-014-0905-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11128-014-0905-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-014-0905-9","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,19]],"date-time":"2019-08-19T13:29:36Z","timestamp":1566221376000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11128-014-0905-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,1,10]]},"references-count":50,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2015,3]]}},"alternative-id":["905"],"URL":"https:\/\/doi.org\/10.1007\/s11128-014-0905-9","relation":{},"ISSN":["1570-0755","1573-1332"],"issn-type":[{"value":"1570-0755","type":"print"},{"value":"1573-1332","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,1,10]]}}}