Discrete Time Quantum Walk Approach to State Transfer

Details Discrete Time Quantum Walk Approach to State Transfer Discrete Time Quantum Walk Approach to State Transfer

2011-03-22

arxiv.org/abs/1103.4185v1

Physics

Quantum Physics

9 pages, 6 figures, comments welcome

Scientific paper

We show that a quantum state transfer, previously studied as a continuous time process in networks of interacting spins, can be achieved within the model of discrete time quantum walks with position dependent coin. We argue that due to additional degrees of freedom, discrete time quantum walks allow to observe e?ects which cannot be observed in the corresponding continuous time case. First, we study a discrete time version of the engineered coupling protocol due to Christandl et. al. [Phys. Rev. Lett. 92, 187902 (2004)] and then discuss the general idea of conversion between continuous time quantum walks and discrete time quantum walks.

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