{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T11:27:27Z","timestamp":1740137247040,"version":"3.37.3"},"reference-count":44,"publisher":"Springer Science and Business Media LLC","issue":"8","license":[{"start":{"date-parts":[[2017,7,1]],"date-time":"2017-07-01T00:00:00Z","timestamp":1498867200000},"content-version":"unspecified","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":["11475054","11371005"],"award-info":[{"award-number":["11475054","11371005"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003787","name":"Natural Science Foundation of Hebei Province","doi-asserted-by":"publisher","award":["A2016205145"],"award-info":[{"award-number":["A2016205145"]}],"id":[{"id":"10.13039\/501100003787","id-type":"DOI","asserted-by":"publisher"}]},{"name":"the Education Department of Hebei Province Natural Science Foundation","award":["QN2017089"],"award-info":[{"award-number":["QN2017089"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Quantum Inf Process"],"published-print":{"date-parts":[[2017,8]]},"DOI":"10.1007\/s11128-017-1646-3","type":"journal-article","created":{"date-parts":[[2017,7,1]],"date-time":"2017-07-01T11:08:47Z","timestamp":1498907327000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Generation of an arbitrary four-photon polarization-entangled decoherence-free state with cross-Kerr nonlinearity"],"prefix":"10.1007","volume":"16","author":[{"given":"Meiyu","family":"Wang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fengli","family":"Yan","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ting","family":"Gao","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2017,7,1]]},"reference":[{"key":"1646_CR1","doi-asserted-by":"crossref","first-page":"865","DOI":"10.1103\/RevModPhys.81.865","volume":"81","author":"R Horodecki","year":"2009","unstructured":"Horodecki, R., Horodecki, P., Horodecki, M., Horodecki, K.: Quantum entanglement. Rev. Mod. Phys. 81, 865\u2013942 (2009)","journal-title":"Rev. Mod. Phys."},{"key":"1646_CR2","doi-asserted-by":"crossref","first-page":"022319","DOI":"10.1103\/PhysRevA.83.022319","volume":"83","author":"FL Yan","year":"2011","unstructured":"Yan, F.L., Gao, T., Chitambar, E.: Two local observables are sufficient to characterize maximally entangled states of N qubits. Phys. Rev. A 83, 022319 (2011)","journal-title":"Phys. Rev. A"},{"key":"1646_CR3","doi-asserted-by":"crossref","first-page":"180501","DOI":"10.1103\/PhysRevLett.112.180501","volume":"112","author":"T Gao","year":"2014","unstructured":"Gao, T., Yan, F.L., van Enk, S.J.: Permutationally invariant part of a density matrix and nonseparability of N-qubit states. Phys. Rev. Lett. 112, 180501 (2014)","journal-title":"Phys. Rev. Lett."},{"key":"1646_CR4","doi-asserted-by":"crossref","first-page":"012336","DOI":"10.1103\/PhysRevA.71.012336","volume":"71","author":"BM Terhal","year":"2005","unstructured":"Terhal, B.M., Burkard, G.: Fault-tolerant quantum computation for local non-Markovian noise. Phys. Rev. A 71, 012336 (2005)","journal-title":"Phys. Rev. A"},{"key":"1646_CR5","doi-asserted-by":"crossref","first-page":"050504","DOI":"10.1103\/PhysRevLett.96.050504","volume":"96","author":"D Aharonov","year":"2006","unstructured":"Aharonov, D., Kitaev, A., Preskill, J.: Fault-tolerant quantum computation with long-range correlated noise. Phys. Rev. Lett. 96, 050504 (2006)","journal-title":"Phys. Rev. Lett."},{"key":"1646_CR6","doi-asserted-by":"crossref","first-page":"2417","DOI":"10.1103\/PhysRevLett.82.2417","volume":"82","author":"L Viola","year":"1999","unstructured":"Viola, L., Knill, E., Lloyd, S.: Dynamical decoupling of open quantum systems. Phys. Rev. Lett. 82, 2417\u20132421 (1999)","journal-title":"Phys. Rev. Lett."},{"key":"1646_CR7","doi-asserted-by":"crossref","first-page":"022323","DOI":"10.1103\/PhysRevA.90.022323","volume":"90","author":"GF Xu","year":"2014","unstructured":"Xu, G.F., Long, G.L.: Protecting geometric gates by dynamical decoupling. Phys. Rev. A 90, 022323 (2014)","journal-title":"Phys. Rev. A"},{"key":"1646_CR8","doi-asserted-by":"crossref","first-page":"2046","DOI":"10.1103\/PhysRevA.53.2046","volume":"53","author":"CH Bennett","year":"1996","unstructured":"Bennett, C.H., Bernstein, H.J., Popescu, S., Schumacher, B.: Concentrating partial entanglement by local operations. Phys. Rev. A 53, 2046\u20132052 (1996)","journal-title":"Phys. Rev. A"},{"key":"1646_CR9","doi-asserted-by":"crossref","first-page":"207901","DOI":"10.1103\/PhysRevLett.90.207901","volume":"90","author":"Z Zhao","year":"2003","unstructured":"Zhao, Z., Yang, T., Chen, Y.A., Zhang, A.N., Pan, J.W.: Experimental realization of entanglement concentration and a quantum repeater. Phys. Rev. Lett. 90, 207901 (2003)","journal-title":"Phys. Rev. Lett."},{"key":"1646_CR10","doi-asserted-by":"crossref","first-page":"022311","DOI":"10.1103\/PhysRevA.85.022311","volume":"85","author":"FG Deng","year":"2012","unstructured":"Deng, F.G.: Optimal nonlocal multipartite entanglement concentration based on projection measurements. Phys. Rev. A 85, 022311 (2012)","journal-title":"Phys. Rev. A"},{"key":"1646_CR11","doi-asserted-by":"crossref","first-page":"042302","DOI":"10.1103\/PhysRevA.85.042302","volume":"85","author":"YB Sheng","year":"2012","unstructured":"Sheng, Y.B., Zhou, L., Zhao, S.M.: Efficient two-step entanglement concentration for arbitrary W states. Phys. Rev. A 85, 042302 (2012)","journal-title":"Phys. Rev. A"},{"key":"1646_CR12","doi-asserted-by":"crossref","first-page":"1953","DOI":"10.1103\/PhysRevLett.79.1953","volume":"79","author":"LM Duan","year":"1997","unstructured":"Duan, L.M., Guo, G.C.: Preserving coherence in quantum computation by pairing quantum bits. Phys. Rev. Lett. 79, 1953\u20131956 (1997)","journal-title":"Phys. Rev. Lett."},{"key":"1646_CR13","doi-asserted-by":"crossref","first-page":"3306","DOI":"10.1103\/PhysRevLett.79.3306","volume":"79","author":"P Zanardi","year":"1997","unstructured":"Zanardi, P., Rasetti, M.: Noiseless quantum codes. Phys. Rev. Lett. 79, 3306\u20133309 (1997)","journal-title":"Phys. Rev. Lett."},{"key":"1646_CR14","doi-asserted-by":"crossref","first-page":"042307","DOI":"10.1103\/PhysRevA.63.042307","volume":"63","author":"J Kempe","year":"2001","unstructured":"Kempe, J., Bacon, D., Lidar, D.A., Whaley, K.B.: Theory of decoherence-free fault-tolerant universal quantum computation. Phys. Rev. A 63, 042307 (2001)","journal-title":"Phys. Rev. A"},{"key":"1646_CR15","doi-asserted-by":"crossref","first-page":"147901","DOI":"10.1103\/PhysRevLett.92.147901","volume":"92","author":"JB Altepeter","year":"2004","unstructured":"Altepeter, J.B., Hadley, P.G., Wendelken, S.M., Berglund, A.J., Kwiat, P.G.: Experimental investigation of a two-qubit decoherence-free subspace. Phys. Rev. Lett. 92, 147901 (2004)","journal-title":"Phys. Rev. Lett."},{"key":"1646_CR16","doi-asserted-by":"crossref","first-page":"107901","DOI":"10.1103\/PhysRevLett.92.107901","volume":"92","author":"M Bourennane","year":"2004","unstructured":"Bourennane, M., Eibl, M., Gaertner, S., Kurtsiefer, C., Cabello, A., Weinfurter, H.: Decoherence-free quantum information processing with four-photon entangled states. Phys. Rev. Lett. 92, 107901 (2004)","journal-title":"Phys. Rev. Lett."},{"key":"1646_CR17","doi-asserted-by":"crossref","first-page":"054301","DOI":"10.1103\/PhysRevA.73.054301","volume":"73","author":"XB Zou","year":"2006","unstructured":"Zou, X.B., Shu, J., Guo, G.C.: Simple scheme for generating four-photon polarization-entangled decoherence-free states using spontaneous parametric down-conversions. Phys. Rev. A 73, 054301 (2006)","journal-title":"Phys. Rev. A"},{"key":"1646_CR18","doi-asserted-by":"crossref","first-page":"042317","DOI":"10.1103\/PhysRevA.77.042317","volume":"77","author":"YX Gong","year":"2008","unstructured":"Gong, Y.X., Zou, X.B., Niu, X.L., Li, J., Huang, Y.F., Guo, G.C.: Generation of arbitrary four-photon polarization-entangled decoherence-free states. Phys. Rev. A 77, 042317 (2008)","journal-title":"Phys. Rev. A"},{"key":"1646_CR19","doi-asserted-by":"crossref","first-page":"25433","DOI":"10.1364\/OE.19.025433","volume":"19","author":"HF Wang","year":"2011","unstructured":"Wang, H.F., Zhang, S., Zhu, A.D., Yi, X.X., Yeon, K.H.: Local conversion of four Einstein\u2013Podolsky\u2013Rosen photon pairs into four-photon polarization-entangled decoherence-free states with non-photon-number-resolving detectors. Opt. Express 19, 25433\u201325440 (2011)","journal-title":"Opt. Express"},{"key":"1646_CR20","doi-asserted-by":"crossref","first-page":"397","DOI":"10.1016\/j.optcom.2015.12.065","volume":"366","author":"YS Zhou","year":"2016","unstructured":"Zhou, Y.S., Li, X., Deng, Y., Li, H.R., Luo, M.X.: Generation of hybrid four-qubit entangled decoherence-free states assisted by the cavity-QED system. Opt. Commun. 366, 397\u2013403 (2016)","journal-title":"Opt. Commun."},{"key":"1646_CR21","doi-asserted-by":"crossref","first-page":"060302","DOI":"10.1103\/PhysRevA.71.060302","volume":"71","author":"SD Barrett","year":"2005","unstructured":"Barrett, S.D., Kok, P., Nemoto, K., Beausoleil, R.G., Munro, W.J., Spiller, T.P.: Symmetry analyzer for nondestructive Bell-state detection using weak nonlinearities. Phys. Rev. A 71, 060302 (2005)","journal-title":"Phys. Rev. A"},{"key":"1646_CR22","doi-asserted-by":"crossref","first-page":"250502","DOI":"10.1103\/PhysRevLett.93.250502","volume":"93","author":"K Nemoto","year":"2004","unstructured":"Nemoto, K., Munro, W.J.: Nearly deterministic linear optical controlled-NOT gate. Phys. Rev. Lett. 93, 250502 (2004)","journal-title":"Phys. Rev. Lett."},{"key":"1646_CR23","doi-asserted-by":"crossref","first-page":"022301","DOI":"10.1103\/PhysRevA.79.022301","volume":"79","author":"Q Lin","year":"2009","unstructured":"Lin, Q., Li, J.: Quantum control gates with weak cross-Kerr nonlinearity. Phys. Rev. A 79, 022301 (2009)","journal-title":"Phys. Rev. A"},{"key":"1646_CR24","doi-asserted-by":"crossref","first-page":"042310","DOI":"10.1103\/PhysRevA.80.042310","volume":"80","author":"Q Lin","year":"2009","unstructured":"Lin, Q., He, B.: Single-photon logic gates using minimal resources. Phys. Rev. A 80, 042310 (2009)","journal-title":"Phys. Rev. A"},{"key":"1646_CR25","doi-asserted-by":"crossref","first-page":"7815","DOI":"10.1038\/srep07815","volume":"5","author":"YB Sheng","year":"2015","unstructured":"Sheng, Y.B., Zhou, L.: Deterministic entanglement distillation for secure double-server blind quantum computation. Sci. Rep. 5, 7815 (2015)","journal-title":"Sci. Rep."},{"key":"1646_CR26","doi-asserted-by":"crossref","first-page":"3075","DOI":"10.1364\/JOSAB.30.003075","volume":"30","author":"D Ding","year":"2013","unstructured":"Ding, D., Yan, F.L., Gao, T.: Preparation of km-photon concatenated Greenberger\u2013Horne\u2013Zeilinger states for observing distinctive quantum effects at macroscopic scales. J. Opt. Soc. Am. B 30, 3075\u20133078 (2013)","journal-title":"J. Opt. Soc. Am. B"},{"key":"1646_CR27","doi-asserted-by":"crossref","first-page":"13453","DOI":"10.1038\/srep13453","volume":"5","author":"YB Sheng","year":"2015","unstructured":"Sheng, Y.B., Zhou, L.: Two-step complete polarization logic Bell-state analysis. Sci. Rep. 5, 13453 (2015)","journal-title":"Sci. Rep."},{"key":"1646_CR28","doi-asserted-by":"crossref","first-page":"19116","DOI":"10.1038\/srep19116","volume":"6","author":"YQ He","year":"2016","unstructured":"He, Y.Q., Ding, D., Yan, F.L., Gao, T.: Exploration of multiphoton entangled states by using weak nonlinearities. Sci. Rep. 6, 19116 (2016)","journal-title":"Sci. Rep."},{"key":"1646_CR29","doi-asserted-by":"crossref","first-page":"21671","DOI":"10.1364\/OE.23.021671","volume":"23","author":"YQ He","year":"2015","unstructured":"He, Y.Q., Ding, D., Yan, F.L., Gao, T.: Exploration of photon-number entangled states using weak nonlinearities. Opt. Express 23, 21671 (2015)","journal-title":"Opt. Express"},{"key":"1646_CR30","doi-asserted-by":"crossref","first-page":"012308","DOI":"10.1103\/PhysRevA.93.012308","volume":"93","author":"L Dong","year":"2016","unstructured":"Dong, L., Wang, J.X., Li, Q.Y., Shen, H.Z., Dong, H.K., Xiu, X.M.: Nearly deterministic preparation of the perfect W state with weak cross-Kerr nonlinearities. Phys. Rev. A 93, 012308 (2016)","journal-title":"Phys. Rev. A"},{"key":"1646_CR31","doi-asserted-by":"crossref","first-page":"12792","DOI":"10.1038\/srep12792","volume":"5","author":"Q Lin","year":"2015","unstructured":"Lin, Q., He, B.: Highly efficient processing of multi-photon states. Sci. Rep. 5, 12792 (2015)","journal-title":"Sci. Rep."},{"key":"1646_CR32","doi-asserted-by":"crossref","first-page":"1030","DOI":"10.1364\/OL.41.001030","volume":"41","author":"L Dong","year":"2016","unstructured":"Dong, L., Wang, J.X., Li, Q.Y., Shen, H.Z., Dong, H.K., Xiu, X.M., Gao, Y.J.: Single logical qubit information encoding scheme with the minimal optical decoherence-free subsystem. Opt. Lett. 41, 1030\u20131033 (2016)","journal-title":"Opt. Lett."},{"key":"1646_CR33","doi-asserted-by":"crossref","first-page":"421","DOI":"10.1364\/JOSAB.30.000421","volume":"30","author":"Y Xia","year":"2013","unstructured":"Xia, Y., Lu, M., Song, J., Lu, P.M., Song, H.S.: Effective protocol for preparation of four-photon polarization-entangled decoherence-free states with cross-Kerr nonlinearity. J. Opt. Soc. Am. B 30, 421\u2013427 (2013)","journal-title":"J. Opt. Soc. Am. B"},{"key":"1646_CR34","doi-asserted-by":"crossref","first-page":"3489","DOI":"10.1103\/PhysRevA.52.3489","volume":"52","author":"IL Chuang","year":"1995","unstructured":"Chuang, I.L., Yamamoto, Y.: Simple quantum computer. Phys. Rev. A 52, 3489\u20133496 (1995)","journal-title":"Phys. Rev. A"},{"key":"1646_CR35","doi-asserted-by":"crossref","first-page":"033819","DOI":"10.1103\/PhysRevA.71.033819","volume":"71","author":"WJ Munro","year":"2005","unstructured":"Munro, W.J., Nemoto, K., Beausoleil, R.G., Spiller, T.P.: High-efficiency quantum-nondemolition single-photon-number-resolving detector. Phys. Rev. A 71, 033819 (2005)","journal-title":"Phys. Rev. A"},{"key":"1646_CR36","doi-asserted-by":"crossref","first-page":"2044","DOI":"10.1103\/PhysRevLett.59.2044","volume":"59","author":"CK Hong","year":"1987","unstructured":"Hong, C.K., Ou, Z.Y., Mandel, L.: Measurement of subpicosecond time intervals between two photons by interference. Phys. Rev. Lett. 59, 2044\u20132046 (1987)","journal-title":"Phys. Rev. Lett."},{"key":"1646_CR37","doi-asserted-by":"crossref","first-page":"2124","DOI":"10.1103\/PhysRevLett.62.2124","volume":"62","author":"GJ Milburn","year":"1989","unstructured":"Milburn, G.J.: Quantum optical Fredkin gate. Phys. Rev. Lett. 62, 2124\u20132127 (1989)","journal-title":"Phys. Rev. Lett."},{"key":"1646_CR38","doi-asserted-by":"crossref","first-page":"46","DOI":"10.1038\/35051009","volume":"409","author":"E Knill","year":"2001","unstructured":"Knill, E., Laflamme, R., Milburn, G.J.: A scheme for efficient quantum computation with linear optics. Nature 409, 46\u201352 (2001)","journal-title":"Nature"},{"key":"1646_CR39","doi-asserted-by":"crossref","first-page":"050303","DOI":"10.1103\/PhysRevA.85.050303","volume":"85","author":"M Siomau","year":"2012","unstructured":"Siomau, M., Kamli, A.A., Moiseev, S.A., Sanders, B.C.: Entanglement creation with negative index metamaterials. Phys. Rev. A 85, 050303 (2012)","journal-title":"Phys. Rev. A"},{"key":"1646_CR40","doi-asserted-by":"crossref","first-page":"053601","DOI":"10.1103\/PhysRevLett.111.053601","volume":"111","author":"IC Hoi","year":"2013","unstructured":"Hoi, I.C., Kockum, A.F., Palomaki, T., Stace, T.M., Fan, B., Tornberg, L., Sathyamoorthy, S.R., Johansson, G., Delsing, P., Wilson, C.M.: Giant cross-Kerr effect for propagating microwaves induced by an artificial atom. Phys. Rev. Lett. 111, 053601 (2013)","journal-title":"Phys. Rev. Lett."},{"key":"1646_CR41","doi-asserted-by":"crossref","first-page":"240501","DOI":"10.1103\/PhysRevLett.107.240501","volume":"107","author":"H Paik","year":"2011","unstructured":"Paik, H., Schuster, D.I., Bishop, L.S., Kirchmair, G., Catelani, G., Sears, A.P., Johnson, B.R., Reagor, M.J., Frunzio, L., Glazman, L.I., Girvin, S.M., Devoret, M.H., Schoelkopf, R.J.: Observation of high coherence in Josephson junction qubits measured in a three-dimensional circuit QED architecture. Phys. Rev. Lett. 107, 240501 (2011)","journal-title":"Phys. Rev. Lett."},{"key":"1646_CR42","doi-asserted-by":"crossref","first-page":"205","DOI":"10.1038\/nature11902","volume":"495","author":"G Kirchmair","year":"2013","unstructured":"Kirchmair, G., Vlastakis, B., Leghtas, Z., Nigg, S.E., Paik, H., Ginossar, E., Mirrahimi, M., Frunzio, L., Girvin, S.M., Schoelkopf, R.J.: Observation of quantum state collapse and revival due to the single-photon Kerr effect. Nature 495, 205\u2013209 (2013)","journal-title":"Nature"},{"key":"1646_CR43","doi-asserted-by":"crossref","first-page":"062338","DOI":"10.1103\/PhysRevA.81.062338","volume":"81","author":"C Wittmann","year":"2010","unstructured":"Wittmann, C., Andersen, U.L., Takeoka, M., Leuchs, G.: Discrimination of binary coherent states using a homodyne detector and a photon number resolving detector. Phys. Rev. A 81, 062338 (2010)","journal-title":"Phys. Rev. A"},{"key":"1646_CR44","first-page":"0159","volume":"12","author":"XM Xiu","year":"2012","unstructured":"Xiu, X.M., Dong, L., Gao, Y.J., Yi, X.X.: Nearly deterministic controlled-NOT gate with weak cross-Kerr nonlinearities. Quantum Inf. Comput. 12, 0159\u20130170 (2012)","journal-title":"Quantum Inf. Comput."}],"container-title":["Quantum Information Processing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11128-017-1646-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-017-1646-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-017-1646-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,7,21]],"date-time":"2017-07-21T06:26:50Z","timestamp":1500618410000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11128-017-1646-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,7,1]]},"references-count":44,"journal-issue":{"issue":"8","published-print":{"date-parts":[[2017,8]]}},"alternative-id":["1646"],"URL":"https:\/\/doi.org\/10.1007\/s11128-017-1646-3","relation":{},"ISSN":["1570-0755","1573-1332"],"issn-type":[{"type":"print","value":"1570-0755"},{"type":"electronic","value":"1573-1332"}],"subject":[],"published":{"date-parts":[[2017,7,1]]},"article-number":"195"}}