{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:19:50Z","timestamp":1760242790610,"version":"build-2065373602"},"reference-count":38,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2016,7,20]],"date-time":"2016-07-20T00:00:00Z","timestamp":1468972800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"NSFC","doi-asserted-by":"publisher","award":["61272514","61170272"],"award-info":[{"award-number":["61272514","61170272"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004602","name":"NCET","doi-asserted-by":"publisher","award":["NCET-13-0681"],"award-info":[{"award-number":["NCET-13-0681"]}],"id":[{"id":"10.13039\/501100004602","id-type":"DOI","asserted-by":"publisher"}]},{"name":"the National Development Foundation for Cryptological Research","award":["MMJJ201401012"],"award-info":[{"award-number":["MMJJ201401012"]}]},{"name":"the Fok Ying Tung Education Foundation","award":["131067"],"award-info":[{"award-number":["131067"]}]},{"name":"the China Scholarship Council"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>In this paper, our concern is to design some criteria for deterministic remote state preparation for preparing an arbitrary three-particle state via a genuinely entangled six-qubit state. First, we put forward two schemes in both the real and complex Hilbert space, respectively. Using an appropriate set of eight-qubit measurement basis, the remote three-qubit preparation is completed with unit success probability. Departing from previous research, our protocol has a salient feature in that the serviceable measurement basis only contains the initial coefficients and their conjugate values. By utilizing the permutation group, it is convenient to provide the permutation relationship between coefficients. Second, our ideas and methods can also be generalized to the situation of preparing an arbitrary N-particle state in complex case by taking advantage of Bell states as quantum resources. More importantly, criteria satisfied conditions for preparation with 100% success probability in complex Hilbert space is summarized. Third, the classical communication costs of our scheme are calculated to determine the classical recourses required. It is also worth mentioning that our protocol has higher efficiency and lower resource costs compared with the other papers.<\/jats:p>","DOI":"10.3390\/e18070267","type":"journal-article","created":{"date-parts":[[2016,7,20]],"date-time":"2016-07-20T09:45:15Z","timestamp":1469007915000},"page":"267","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":16,"title":["Novel Criteria for Deterministic Remote State Preparation via the Entangled Six-Qubit State"],"prefix":"10.3390","volume":"18","author":[{"given":"Gang","family":"Xu","sequence":"first","affiliation":[{"name":"School of Software Engineering, Beijing University of Posts and Telecommunications, Beijing 100876, China"},{"name":"Information Security Center, State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, China"},{"name":"Department of Computer Science, University of Calgary, Calgary, AB T2N 1N4, Canada"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiu-Bo","family":"Chen","sequence":"additional","affiliation":[{"name":"Information Security Center, State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, China"},{"name":"Department of Computer Science, University of Calgary, Calgary, AB T2N 1N4, Canada"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhao","family":"Dou","sequence":"additional","affiliation":[{"name":"Information Security Center, State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jing","family":"Li","sequence":"additional","affiliation":[{"name":"Information Security Center, State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xin","family":"Liu","sequence":"additional","affiliation":[{"name":"School of Information Engineering, Inner Mongolia University of Science and Technology, Baotou 014010, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zongpeng","family":"Li","sequence":"additional","affiliation":[{"name":"Department of Computer Science, University of Calgary, Calgary, AB T2N 1N4, Canada"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2016,7,20]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1895","DOI":"10.1103\/PhysRevLett.70.1895","article-title":"Teleporting an unknown quantum state via dual classical and Einstein\u2013Podolsky\u2013Rosen channels","volume":"70","author":"Bennett","year":"1993","journal-title":"Phys. Rev. Lett."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"4088","DOI":"10.1016\/j.optcom.2011.04.043","article-title":"Remote preparation of a four-particle entangled cluster-type state","volume":"284","author":"Ma","year":"2011","journal-title":"Opt. Commun."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"030407","DOI":"10.1103\/PhysRevLett.105.030407","article-title":"Remote preparation of single-photon \u201chybrid\u201d entangled and vector-polarization states","volume":"105","author":"Barreiro","year":"2010","journal-title":"Phys. Rev. Lett."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"513","DOI":"10.1007\/s11128-013-0667-9","article-title":"Three-party remote state preparation schemes based on entanglement","volume":"13","author":"Zhou","year":"2014","journal-title":"Quantum Inf. Process."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"012313","DOI":"10.1103\/PhysRevA.62.012313","article-title":"Classical-communication cost in distributed quantum-information processing: A generalization of quantum-communication complexity","volume":"62","author":"Lo","year":"2000","journal-title":"Phys. Rev. A"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"014302","DOI":"10.1103\/PhysRevA.63.014302","article-title":"Minimum classical bit for remote preparation and measurement of a qubit","volume":"63","author":"Pati","year":"2000","journal-title":"Phys. Rev. A."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"127905","DOI":"10.1103\/PhysRevLett.90.127905","article-title":"Oblivious remote state preparation","volume":"90","author":"Leung","year":"2003","journal-title":"Phys. Rev. Lett."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"4796","DOI":"10.1016\/j.optcom.2010.07.043","article-title":"Joint remote preparation of an arbitrary three-qubit state","volume":"283","author":"Luo","year":"2010","journal-title":"Opt. Commun."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"095501","DOI":"10.1088\/0953-4075\/44\/9\/095501","article-title":"Joint remote preparation of four-qubit cluster-type states","volume":"44","author":"Zhan","year":"2011","journal-title":"J. Phys. B At. Mol. Opt. Phys."},{"key":"ref_10","doi-asserted-by":"crossref","unstructured":"Fu, H., Chen, G.-B., Li, X.-W., Ma, P.-C., and Zhan, Y.-B. (2016). Joint remote preparation of an arbitrary four-qubit x-type entangled state.","DOI":"10.1007\/s12043-017-1413-0"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"1653","DOI":"10.1007\/s11128-011-0326-y","article-title":"Controlled remote state preparation of arbitrary two and three qubit states via the brown state","volume":"11","author":"Chen","year":"2012","journal-title":"Quantum Inf. Process."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"1639","DOI":"10.1007\/s11128-014-0757-3","article-title":"Controlled remote state preparation protocols via aklt states","volume":"13","author":"Liu","year":"2014","journal-title":"Quantum Inf. Process."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"2643","DOI":"10.1007\/s10773-015-2899-1","article-title":"Controlled remote preparation via the brown state with no restriction","volume":"55","author":"Gao","year":"2016","journal-title":"Int. J. Theor. Phys."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"2155","DOI":"10.1007\/s11128-016-1257-4","article-title":"Deterministic remote two-qubit state preparation in dissipative environments","volume":"15","author":"Li","year":"2016","journal-title":"Quantum Inf. Process."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"3588","DOI":"10.1007\/s10773-016-2987-x","article-title":"Deterministic joint remote preparation of a four-qubit cluster-type state via GHZ states","volume":"55","author":"Wang","year":"2016","journal-title":"Int. J. Theor. Phys."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"012334","DOI":"10.1103\/PhysRevA.81.012334","article-title":"Derivation and experimental test of fidelity benchmarks for remote preparation of arbitrary qubit states","volume":"81","author":"Killoran","year":"2010","journal-title":"Phys. Rev. A."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"032304","DOI":"10.1103\/PhysRevA.88.032304","article-title":"Experimental multilocation remote state preparation","volume":"88","author":"Bourennane","year":"2013","journal-title":"Phys. Rev. A"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"340","DOI":"10.1109\/TPDS.2015.2401003","article-title":"A secure and dynamic multi-keyword ranked search scheme over encrypted cloud data","volume":"27","author":"Xia","year":"2015","journal-title":"IEEE Trans. Parallel Distrib. Syst."},{"key":"ref_19","first-page":"190","article-title":"Achieving efficient cloud search services: Multi-keyword ranked search over encrypted cloud data supporting parallel computing","volume":"98","author":"Zhangjie","year":"2015","journal-title":"IEICE Trans. Commun."},{"key":"ref_20","first-page":"317","article-title":"Mutual verifiable provable data auditing in public cloud storage","volume":"16","author":"Ren","year":"2015","journal-title":"J. Internet Technol."},{"key":"ref_21","doi-asserted-by":"crossref","unstructured":"Fu, Z., Ren, K., Shu, J., Sun, X., and Huang, F. (2015). Enabling personalized search over encrypted outsourced data with efficiency improvement. IEEE Trans. Parallel Distrib. Syst.","DOI":"10.1109\/TPDS.2015.2506573"},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"1403","DOI":"10.1109\/TNNLS.2014.2342533","article-title":"Incremental support vector learning for ordinal regression","volume":"26","author":"Gu","year":"2015","journal-title":"IEEE Trans. Neural Netw. Learn. Syst."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"022316","DOI":"10.1103\/PhysRevA.65.022316","article-title":"Remote-state preparation in higher dimension and the parallelizable manifold Sn-1","volume":"65","author":"Zeng","year":"2002","journal-title":"Phys. Rev. A"},{"key":"ref_24","doi-asserted-by":"crossref","unstructured":"Liu, J.-M., Feng, X.-L., and Oh, C. (2009). Remote preparation of arbitrary two- and three-qubit states. EPL, 87.","DOI":"10.1209\/0295-5075\/87\/30006"},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"440","DOI":"10.1007\/s10773-015-2678-z","article-title":"Deterministic controlled bidirectional remote state preparation via a six-qubit maximally entangled state","volume":"55","author":"Zhang","year":"2016","journal-title":"Int. J. Theor. Phys."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"485","DOI":"10.1142\/S0219749908003669","article-title":"Remote preparation of the two-particle state","volume":"6","author":"Yan","year":"2008","journal-title":"Int. J. Quantum Inf."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"871","DOI":"10.1016\/j.optcom.2007.10.032","article-title":"Remote preparation of a class of three-qubit states","volume":"281","author":"Wang","year":"2008","journal-title":"Opt. Commun."},{"key":"ref_28","first-page":"344","article-title":"Remote preparation of three-particle GHZ-class states","volume":"1","author":"Pan","year":"2010","journal-title":"J. At. Mol. Sci."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"032307","DOI":"10.1103\/PhysRevA.81.032307","article-title":"Deterministic entanglement purification and complete nonlocal bell-state analysis with hyperentanglement","volume":"81","author":"Sheng","year":"2010","journal-title":"Phys. Rev. A"},{"key":"ref_30","doi-asserted-by":"crossref","unstructured":"Zhan, Y.-B. (2012). Deterministic remote preparation of arbitrary two- and three-qubit states. EPL, 98.","DOI":"10.1209\/0295-5075\/98\/40005"},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"1321","DOI":"10.1007\/s11128-012-0474-8","article-title":"Highly efficient remote preparation of an arbitrary three-qubit state via a four-qubit cluster state and an epr state","volume":"12","author":"Wang","year":"2013","journal-title":"Quantum Inf. Process."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"090308","DOI":"10.1088\/1674-1056\/23\/9\/090308","article-title":"Efficient remote preparation of arbitrary two- and three-qubit states via the \u03c7 state","volume":"23","author":"Ma","year":"2014","journal-title":"Chin. Phys. B."},{"key":"ref_33","doi-asserted-by":"crossref","unstructured":"Borras, A., Plastino, A., Batle, J., Zander, C., Casas, M., and Plastino, A. (2007). Multiqubit systems: Highly entangled states and entanglement distribution. J. Phys. A Math. Theor., 40.","DOI":"10.1088\/1751-8113\/40\/44\/018"},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"115303","DOI":"10.1088\/1751-8113\/42\/11\/115303","article-title":"Quantum teleportation and state sharing using a genuinely entangled six-qubit state","volume":"42","author":"Choudhury","year":"2009","journal-title":"J. Phys. A Math. Theor."},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"015010","DOI":"10.1088\/0031-8949\/84\/01\/015010","article-title":"Two schemes of remote preparation of a four-particle entangled w state via a six-qubit maximally entangled state","volume":"84","author":"Zha","year":"2011","journal-title":"Phys. Scr."},{"key":"ref_36","first-page":"267","article-title":"Quantum state sharing of an arbitrary single qubit state by using a genuinely entangled sixqubit state as a quantum channel","volume":"36","author":"Li","year":"2012","journal-title":"J. Jiangxi Nomal Univ."},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"1052","DOI":"10.3788\/gzxb20134209.1052","article-title":"A scheme of bidirectional quantum controlled teleportation via six-qubit maximally entangled state","volume":"42","author":"Sun","year":"2013","journal-title":"Acta Photonica Sin."},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"1920","DOI":"10.1007\/s10773-015-2831-8","article-title":"Multi-party quantum key agreement by an entangled six-qubit state","volume":"55","author":"Sun","year":"2016","journal-title":"Int. J. Theor. Phys."}],"container-title":["Entropy"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1099-4300\/18\/7\/267\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T19:26:33Z","timestamp":1760210793000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1099-4300\/18\/7\/267"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,7,20]]},"references-count":38,"journal-issue":{"issue":"7","published-online":{"date-parts":[[2016,7]]}},"alternative-id":["e18070267"],"URL":"https:\/\/doi.org\/10.3390\/e18070267","relation":{},"ISSN":["1099-4300"],"issn-type":[{"type":"electronic","value":"1099-4300"}],"subject":[],"published":{"date-parts":[[2016,7,20]]}}}