Optical realization of one-dimensional generalized split-step quantum walks

Quantum walks are more than tools for building quantum algorithms. They have been used effectively to model and simulate dynamics in many complex physical processes. Particularly, a variant of discrete-time walk known as split-step is closely related Dirac cellular automata topological insulators, whose realizations rely on position-dependent control evolution operators. Owing the ease manipulating multiple degrees freedom photons, we provide an optical setup operators which, combination with coin (PDC) operation, can accomplish table-top generalized walks. Also, propose implementation PDC operation that allows, instance, realizing electric walks, localization dynamics, emulate space-time curvature effects. In addition, realize any t -step involving 2 J -plates, variable waveplates, half-waveplate, switch, delay line.