Qubit state transfer via discrete-time quantum walks
arXiv:1407.0689 · doi:10.1088/1751-8113/48/22/225302
Abstract
We propose a scheme for perfect transfer of an unknown qubit state via the discrete-time quantum walk on a line or a circle. For this purpose, we introduce an additional coin operator which is applied at the end of the walk. This operator does not depend on the state to be transferred. We show that perfect state transfer over an arbitrary distance can be achieved only if the walk is driven by an identity or a flip coin operator. Other biased coin operators and Hadamard coin allow perfect state transfer over finite distances only. Furthermore, we show that quantum walks ending with a perfect state transfer are periodic.
13 pages, 5 figures
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Cited by in corpus (12)
- Perfect state transfer by means of discrete-time quantum walk search algorithms on highly symmetric graphs
- Perfect state transfer by means of discrete-time quantum walk on complete bipartite graphs
- Efficient implementation of discrete-time quantum walks on quantum computers
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