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

• URL: http://arxiv.org/abs/2207.12341v2
• Date: Wed, 4 Jan 2023 14:55:22 GMT
• Title: Optical realization of one-dimensional generalized split-step quantum walks
• Authors: P. A. Ameen Yasir, Abhaya S. Hegde, C. M. Chandrashekar
• Abstract summary: A variant of discrete-time quantum walk known as split-step quantum walk is closely related to Dirac cellular automata and topological insulators. 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.
• Score: 1.7396274240172125
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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} $t$-step split-step quantum walk involving 2 $J$-plates, 2 variable waveplates, a half-waveplate, an optical switch, and an optical delay line.

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