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Generalized teleportation by quantum walks
Wang, Yu1,4; Shang, Yun1,2,4; Xue, Peng3
AbstractWe develop a generalized teleportation scheme based on quantum walks with two coins. For an unknown qubit state, we use two-step quantum walks on the line and quantum walks on the cycle with four vertices for teleportation. For any d-dimensional states, quantum walks on complete graphs and quantum walks on d-regular graphs can be used for implementing teleportation. Compared with existing d-dimensional states teleportation, prior entangled state is not required and the necessary maximal entanglement resource is generated by the first step of quantum walk. Moreover, two projectivemeasurementswith d elements are needed by quantum walks on the complete graph, rather than one joint measurement with d(2) basis states. Quantum walks have many applications in quantum computation and quantum simulations. This is the first scheme of realizing communicating protocol with quantum walks, thus opening wider applications.
KeywordTeleportation Quantum walks Qudit
Funding ProjectNational Key Research and Development Program of China[2016YFB1000902] ; National Research Foundation of China[61472412] ; Program for Creative Research Group of National Natural Science Foundation of China[61621003] ; NSFC[11474049] ; NSFC[11674056] ; NSFJS[BK20160024] ; State Key Laboratory of Precision Spectroscopy, East China Normal University
WOS Research AreaPhysics
WOS SubjectPhysics, Multidisciplinary ; Physics, Mathematical
WOS IDWOS:000406301900016
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Document Type期刊论文
Corresponding AuthorShang, Yun
Affiliation1.Chinese Acad Sci, AMSS, Inst Math, Beijing 100190, Peoples R China
2.Chinese Acad Sci, AMSS, NCMIS, Beijing 100190, Peoples R China
3.Southeast Univ, Dept Phys, Nanjing 211189, Jiangsu, Peoples R China
4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
Recommended Citation
GB/T 7714
Wang, Yu,Shang, Yun,Xue, Peng. Generalized teleportation by quantum walks[J]. QUANTUM INFORMATION PROCESSING,2017,16(9):13.
APA Wang, Yu,Shang, Yun,&Xue, Peng.(2017).Generalized teleportation by quantum walks.QUANTUM INFORMATION PROCESSING,16(9),13.
MLA Wang, Yu,et al."Generalized teleportation by quantum walks".QUANTUM INFORMATION PROCESSING 16.9(2017):13.
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