We present the experimental implementation of a quantum walk on a two-dimensional lattice and show how to employ the optical system to simulate the quantum propagation of two interacting particles. Our quantum walk in time transfers the spatial spread of a quantum walk into the time domain, which guarantees a high stability and scalability of the setup. We present with our device quantum walks over 12 steps on a 2D lattice. By changing the properties of the driving quantum coin, we investigate different kinds of two-particle interactions and reveal their impact on the occurring quantum propagation.
Simulations of two-particle interactions with 2D quantum walks in time
A. Schreiber, A. Gábris, P. P. Rohde, K. Laiho, M. Štefaňak, V. Potoček, C. Hamilton, I. Jex, C. Silberhorn; Simulations of two-particle interactions with 2D quantum walks in time. AIP Conf. Proc. 4 December 2014; 1633 (1): 204–209. https://doi.org/10.1063/1.4903138
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