Topological quantum state transfer in the Creutz ladder*

The Creutz ladder has recently attracted a great deal of attention. It is a quasi-1D model threaded by a magnetic flux which can present nontrivial topology and Aharonov-Bohm caging. The latter effect is caused by destructive interference and flattens the bands of the system, localizing the particles, bosonic or fermionic, in a small spatial region or cage. This model has been recently implemented experimentally [1,2]. The addition of Hubbard interactions, which can give rise to repulsively bound pairs termed doublons, has also been studied [3].

In this work [4], we propose a robust, highly controllable quantum state transfer protocol that exploits these features and could be of interest in the quantum information and computation fields. We also discuss the preparation of spatially separated Bell states using this protocol, and test the robustness of the process against imperfections in the system.

[1] S. Mukherjee et al. Pys. Rev. Lett., 2018
[2] J. H. Kang et al. New J. Phys., 2020
[3] J. Zurita, C. Creffield, G. Platero. Adv. Quantum Technol., 2019
[4] J. Zurita, C. Creffield, G. Platero. In preparation, 2020