论文标题
一维广义分裂量子步行的光学实现
Optical realization of one-dimensional generalized split-step quantum walks
论文作者
论文摘要
量子步行不仅仅是用于构建量子算法的工具。它们已被有效地用于模拟和模拟许多复杂的物理过程中的量子动力学。特别是，一种被称为分裂量子步行的离散时间量子步行的变体与狄拉克细胞自动机和拓扑绝缘子密切相关，其实现依赖于位置依赖于进化算子的控制。由于易于操纵多个光子的自由度，我们提供了分式步骤操作员的光学设置，与位置相关的硬币（PDC）操作结合使用，可以完成广义分配步行步行的桌面设置。另外，我们提出了用于PDC操作的光学实现，例如，可以实现电量子步行，控制定位动力学并模仿时空曲率效应。此外，我们提出了一个设置，以实现{\ IT} $ t $ t $ step split-step量子步行，涉及2 $ j $ - 板，2个可变波形，一个半波浪板，一个光学开关和光学延迟线。
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.
