Generalized teleportation by quantum walks |
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Authors: | Yu Wang Yun Shang Peng Xue |
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Affiliation: | 1.Institute of Mathematics,AMSS, CAS,Beijing,China;2.NCMIS,AMSS, CAS,Beijing,China;3.Department of Physics,Southeast University,Nanjing,China;4.School of Mathematical Sciences,University of Chinese Academy of Sciences,Beijing,China |
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Abstract: | We 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 projective measurements with 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. |
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