Tensor representation in teleportation and controlled teleportation |
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Authors: | Xiu-Lao Tian Xiao-Qiang Xi Guo-Fang Shi Ming-Liang Hu Guo-Guang Yao |
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Institution: | Department of Applied Mathematics and Physics, Xi’an Institute of Posts and Telecommunications, Xi’an 710061, China |
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Abstract: | We propose the tensor representation of teleportation and controlled teleportation. By using this representation, it is easy to describe the process of teleporting an unknown N-qubit state via a genuine 2N-qubit channel, and to find the necessary and sufficient condition of realizing a successful teleportation (which is determined by the measurement matrix Tα and the quantum channel parameter matrix X). For controlled teleportation, if composing tensor representation with graph, one can easily design any kind of controlled teleportation. As examples, we give a scheme of symmetrically controlled teleportation of two-qubit states and a scheme of representative network controlled of three-qubit states. This method can also be generalized to the controlled teleportation of N-qubit states. |
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Keywords: | 03 67 Hk 03 65 Ta |
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