标题： 高度简并的光子波导结构用于全息计算 显示英文标题

标题： Highly-Degenerate Photonic Waveguide Structures for Holonomic Computation

摘要： 我们研究了一种全光学设置，可以在其大简并本征空间上生成非阿贝尔几何相位。 该方案的形式为M- pod系统，并可以通过集成光子波导结构来实现。 我们表明，通过向光学设置中注入更多光子，本征空间的简并性会迅速增长。 在研究了系统的一般情况下的谱特性后，我们展示了如何在填充两个光子的光学三脚架的暗子空间上生成任意U(4)变换。 此外，系统明亮子空间中的简并性在任何原子类比中都不存在，这使得可以生成通用的单量子比特操作。 最后，我们讨论了全息计算的复杂性问题。 特别是，我们展示了如何在光子三脚架上实现两量子比特和三量子比特态，其中自然的多粒子结构继承自波导的空间模式结构。 显示英文摘要

摘要： We investigate an all-out optical setup allowing for generation of non-Abelian geometric phases on its large degenerate eigenspaces. The proposal has the form of an M -pod system and can be implemented in terms of integrated photonic waveguide structures. We show that by injecting a larger number of photons into the optical setup, the degeneracy of eigenspaces scales rapidly. After studying the spectral properties of our system for the general case, we show how arbitrary U(4) transformations can be generated on the dark subspace of an optical tripod filled with two photons. Moreover, a degeneracy in the bright subspaces of the system, absent in any atomic analogue, allows for the generation of universal single-qubit manipulations. Finally, we address the complexity issue of holonomic computation. Particularly, we show how two-qubit and three-qubit states can be implemented on a photonic tripod, where a natural multi-partite structure is inherited from the spatial mode structure of the waveguides.