{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,23]],"date-time":"2025-10-23T05:32:09Z","timestamp":1761197529206,"version":"build-2065373602"},"reference-count":26,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2018,3,29]],"date-time":"2018-03-29T00:00:00Z","timestamp":1522281600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61601120"],"award-info":[{"award-number":["61601120"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002858","name":"China Postdoctoral Science Foundation","doi-asserted-by":"publisher","award":["2016M591742"],"award-info":[{"award-number":["2016M591742"]}],"id":[{"id":"10.13039\/501100002858","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100010242","name":"Jiangsu Planned Projects for Postdoctoral Research Funds","doi-asserted-by":"publisher","award":["1601166C"],"award-info":[{"award-number":["1601166C"]}],"id":[{"id":"10.13039\/501100010242","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>Quantum teleportation has significant meaning in quantum information. In particular, entangled states can also be used for perfectly teleporting the quantum state with some probability. This is more practical and efficient in practice. In this paper, we propose schemes to use non-symmetric quantum channel combinations for probabilistic teleportation of an arbitrary two-qubit quantum state from sender to receiver. The non-symmetric quantum channel is composed of a two-qubit partially entangled state and a three-qubit partially entangled state, where partially entangled Greenberger\u2013Horne\u2013Zeilinger (GHZ) state and W state are considered, respectively. All schemes are presented in detail and the unitary operations required are given in concise formulas. Methods are provided for reducing classical communication cost and combining operations to simplify the manipulation. Moreover, our schemes are flexible and applicable in different situations.<\/jats:p>","DOI":"10.3390\/e20040238","type":"journal-article","created":{"date-parts":[[2018,3,29]],"date-time":"2018-03-29T12:51:56Z","timestamp":1522327916000},"page":"238","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Probabilistic Teleportation of Arbitrary Two-Qubit Quantum State via Non-Symmetric Quantum Channel"],"prefix":"10.3390","volume":"20","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6999-251X","authenticated-orcid":false,"given":"Kan","family":"Wang","sequence":"first","affiliation":[{"name":"National Mobile Communications Research Laboratory, Southeast University, Nanjing 210096, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xu-Tao","family":"Yu","sequence":"additional","affiliation":[{"name":"State Key Lab. of Millimeter Waves, Southeast University, Nanjing 210096, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiao-Fei","family":"Cai","sequence":"additional","affiliation":[{"name":"State Key Lab. of Millimeter Waves, Southeast University, Nanjing 210096, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zai-Chen","family":"Zhang","sequence":"additional","affiliation":[{"name":"National Mobile Communications Research Laboratory, Southeast University, Nanjing 210096, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2018,3,29]]},"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-Podolsky-Rosen channels","volume":"70","author":"Bennett","year":"1993","journal-title":"Phys. Rev. Lett."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"430","DOI":"10.1038\/nature02858","article-title":"Demonstration of a quantum teleportation network for continuous variables","volume":"431","author":"Yonezawa","year":"2004","journal-title":"Nature"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"022329","DOI":"10.1103\/PhysRevA.89.022329","article-title":"Quantum wireless multihop communication based on arbitrary Bell pairs and teleportation","volume":"89","author":"Wang","year":"2014","journal-title":"Phys. Rev. A"},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"220501","DOI":"10.1103\/PhysRevLett.118.220501","article-title":"Quantum Secure Direct Communication with Quantum Memory","volume":"118","author":"Zhang","year":"2017","journal-title":"Phys. Rev. Lett."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"042317","DOI":"10.1103\/PhysRevA.68.042317","article-title":"Two-step quantum direct communication protocol using the Einstein-Podolsky-Rosen pair block","volume":"68","author":"Deng","year":"2003","journal-title":"Phys. Rev. A"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"5188","DOI":"10.1103\/PhysRevLett.86.5188","article-title":"A One-Way Quantum Computer","volume":"86","author":"Raussendorf","year":"2001","journal-title":"Phys. Rev. Lett."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1016\/S0167-2789(98)00043-8","article-title":"Teleportation as a quantum computation","volume":"120","author":"Brassard","year":"1998","journal-title":"Phys. D Nonlinear Phenom."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"5932","DOI":"10.1103\/PhysRevLett.81.5932","article-title":"Quantum Repeaters: The Role of Imperfect Local Operations in Quantum Communication","volume":"81","author":"Briegel","year":"1998","journal-title":"Phys. Rev. Lett."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1103\/RevModPhys.83.33","article-title":"Quantum repeaters based on atomic ensembles and linear optics","volume":"83","author":"Sangouard","year":"2011","journal-title":"Rev. Mod. Phys."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"1002","DOI":"10.1109\/TNET.2008.927260","article-title":"System Design for a Long-line Quantum Repeater","volume":"17","author":"Ladd","year":"2009","journal-title":"IEEE\/ACM Trans. Netw."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"165","DOI":"10.1038\/nphoton.2007.22","article-title":"Quantum communication","volume":"1","author":"Gisin","year":"2007","journal-title":"Nat. Photonics"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"575","DOI":"10.1038\/37539","article-title":"Experimental quantum teleportation","volume":"390","author":"Bouwmeester","year":"1997","journal-title":"Nature"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"869","DOI":"10.1103\/PhysRevLett.80.869","article-title":"Teleportation of Continuous Quantum Variables","volume":"80","author":"Braunstein","year":"1998","journal-title":"Phys. Rev. Lett."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"269","DOI":"10.1038\/nature11472","article-title":"Quantum teleportation over 143 kilometres using active feed-forward","volume":"489","author":"Ma","year":"2012","journal-title":"Nature"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"641","DOI":"10.1038\/nphoton.2015.154","article-title":"Advances in quantum teleportation","volume":"9","author":"Pirandola","year":"2015","journal-title":"Nat. Photonics"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"516","DOI":"10.1038\/nature14246","article-title":"Quantum teleportation of multiple degrees of freedom of a single photon","volume":"518","author":"Wang","year":"2015","journal-title":"Nature"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"865","DOI":"10.1103\/RevModPhys.81.865","article-title":"Quantum entanglement","volume":"81","author":"Horodecki","year":"2009","journal-title":"Rev. Mod. Phys."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"034301","DOI":"10.1103\/PhysRevA.61.034301","article-title":"Probabilistic teleportation and entanglement matching","volume":"61","author":"Li","year":"2000","journal-title":"Phys. Rev. A"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"12","DOI":"10.1016\/S0375-9601(02)01383-X","article-title":"Probabilistic quantum teleportation","volume":"305","author":"Agrawal","year":"2002","journal-title":"Phys. Lett. A"},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"106","DOI":"10.1088\/1464-4266\/6\/1\/017","article-title":"Probabilistic teleportation of an arbitrary two-particle state by two partial three-particle entangled W states","volume":"20","author":"Dai","year":"2004","journal-title":"J. Opt. B Quantum Semiclassical Opt."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"281","DOI":"10.1016\/j.optcom.2003.11.074","article-title":"Probabilistic teleportation of an arbitrary two-particle state by a partially entangled three-particle GHZ state and W state","volume":"231","author":"Dai","year":"2004","journal-title":"Opt. Commun."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"1552","DOI":"10.1007\/s10773-007-9596-7","article-title":"Classical communication help and probabilistic teleportation with one-dimensional non-maximally entangled cluster states","volume":"47","author":"Xia","year":"2008","journal-title":"Int. J. Theor. Phys."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"3621","DOI":"10.3390\/e17063621","article-title":"Probabilistic Teleportation via Quantum Channel with Partial Information","volume":"17","author":"Liu","year":"2015","journal-title":"Entropy"},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"5063","DOI":"10.1007\/s11128-016-1447-0","article-title":"Probabilistically teleporting arbitrary two-qubit states","volume":"15","author":"Choudhury","year":"2016","journal-title":"Quantum Inf. Process."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"044302","DOI":"10.1103\/PhysRevA.90.044302","article-title":"Addendum to \u201cQuantum wireless multihop communication based on arbitrary Bell pairs and teleportation\u201d","volume":"90","author":"Wang","year":"2014","journal-title":"Phys. Rev. A"},{"key":"ref_26","first-page":"1543","article-title":"Probabilistic Teleportation of an Arbitrary Two-particle State","volume":"18","year":"2006","journal-title":"Chin. Phys. Lett."}],"container-title":["Entropy"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1099-4300\/20\/4\/238\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T14:59:03Z","timestamp":1760194743000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1099-4300\/20\/4\/238"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,3,29]]},"references-count":26,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2018,4]]}},"alternative-id":["e20040238"],"URL":"https:\/\/doi.org\/10.3390\/e20040238","relation":{},"ISSN":["1099-4300"],"issn-type":[{"type":"electronic","value":"1099-4300"}],"subject":[],"published":{"date-parts":[[2018,3,29]]}}}