Perfect state transfer by means of discrete-time quantum walk on complete bipartite graphs

Article

Abstract

We consider a quantum walk with two marked vertices, sender and receiver, and analyze its application to perfect state transfer on complete bipartite graphs. First, the situation with both the sender and the receiver vertex in the same part of the graph is considered. We show that in this case the dynamics of the quantum walk is independent of the size of the second part and reduces to the one for the star graph where perfect state transfer is achieved. Second, we consider the situation where the sender and the receiver vertex are in the opposite parts of the graph. In such a case, the state transfer with unit fidelity is achieved only when the parts have the same size.

Keywords

Quantum walk Perfect state transfer Bipartite graph 

Notes

Acknowledgements

We acknowledge the financial support from RVO 14000 and from Czech Technical University in Prague under Grant No. SGS16/241/OHK4/3T/14. MŠ is grateful for the financial support from GAČR under Grant No. 14-02901P.

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Copyright information

© Springer Science+Business Media New York 2017

Authors and Affiliations

  1. 1.Department of Physics, Faculty of Nuclear Sciences and Physical EngineeringCzech Technical University in PragueStaré MěstoCzech Republic

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