Quantum Spatial Search in Two-Dimensional Waveguide Arrays

Continuous-time quantum walks (CTQW) have shown the capability to perform efficiently spatial search of a marked site on many kinds graphs. However, most such graphs are hard realize in an experimental setting. Here we study CTQW planar triangular lattice by means both numerical simulations and experiments. The experiments performed using three-dimensional waveguide arrays fabricated femtosecond laser pulses, illuminated coherent light. We show that retrieval walker is accomplished with higher probability than classical counterpart, convenient time window placed early evolution.