Discretely observable continuous-time quantum walks on Möbius strips and other exotic structures in three-dimensional integrated photonics
Michael Delanty, Michael J. Steel · Physical Review A · 2012
We theoretically analyze the dynamical evolution of photonic quantum walks on M\"obius strips and other exotic structures in three-dimensional integrated photonics. Our flexible design allows discrete observations of continuous-time quantum walks of photons in a variety of waveguide arrays. Furthermore, our design allows one to inject photons during the evolution, allowing the possibility of interacting with the photons as they are ``walking.'' We find that nontrivial array topologies introduce time-dependent symmetries of the two-photon correlations. These properties allow a large degree of control for quantum state engineering of multimode entangled states in these devices.