Quantum state transfer on unsymmetrical graphs via discrete-time quantum walk

Author:

Cao Wei-Feng1,Yang Yu-Guang2,Li Dan3,Dong Jing-Ru2,Zhou Yi-Hua2,Shi Wei-Min2

Affiliation:

1. College of Electric and Information Engineering, Zhengzhou University of Light Industry, Zhengzhou 450002, P. R. China

2. Faculty of Information Technology, Beijing University of Technology, Beijing 100124, P. R. China

3. College of Computer Science and Technology, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P. R. China

Abstract

Perfect state transfer can be achieved between two marked vertices of graphs like a star graph, a complete graph with self-loops and a complete bipartite graph, and two-dimensional Lattice by means of discrete-time quantum walk. In this paper, we investigate the quality of quantum state transfer between two marked vertices of an unsymmetrical graph like the butterfly network. Our numerical results support the conjecture that the fidelity of state transfer depends on the quantum state to be transferred dynamically. The butterfly network is a typical example studied in networking coding. Therefore, these results can provide a clue to the construction of quantum network coding schemes.

Funder

National Natural Science Foundation of China

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

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