Optical realization of one-dimensional generalized split-step quantum walks
arXiv:2207.12341 · doi:10.1364/OPTCON.481338
Abstract
Quantum walks are more than tools for building quantum algorithms. They have been used effectively to model and simulate quantum dynamics in many complex physical processes. Particularly, a variant of discrete-time quantum walk known as split-step quantum walk is closely related to Dirac cellular automata and topological insulators whose realizations rely on position-dependent control of evolution operators. Owing to the ease of manipulating multiple degrees of freedom of photons, we provide an optical setup of split-step operators which in combination with position-dependent coin (PDC) operation can accomplish a table-top setup of generalized split-step walks. Also, we propose an optical implementation for PDC operation that allows, for instance, to realize electric quantum walks, control localization dynamics, and emulate space-time curvature effects. In addition, we propose a setup to realize {\it any} -step split-step quantum walk involving 2 -plates, 2 variable waveplates, a half-waveplate, an optical switch, and an optical delay line.
arXiv comment7 pages, 3 figures
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