Quantum Walks in Quasi-Periodic Photonics Lattices [chapter]

Dan Trung Nguyen, Daniel A. Nolan, Nicholas F. Borrelli
2019 Advances in Quantum Communication and Information [Working Title]  
We present construction rules for a new class of quasiperiodic photonics lattices (QPL) to realize localized quantum walks (LQWs) deterministically. The new quasiperiodic structures are constructed symmetrically with Fibonacci, Thue-Morse, and other quasiperiodic sequences. Our construction rules allow us to build the symmetrical quasiperiodic photonics lattices. As a result, LQWs with symmetrical probability distributions can be realized in these QPLs. Furthermore, the proposed QPLs are
more » ... d with different waveguides providing both on-and off-diagonal deterministic disorders. We show LQWs in the proposed QPLs are highly programmable and controllable.
doi:10.5772/intechopen.87758 fatcat:qg5g6ym7jfhy5ayobo2ihze34i