论文标题

高分位光子波导结构用于自动计算

Highly-Degenerate Photonic Waveguide Structures for Holonomic Computation

论文作者

Pinske, Julien, Teuber, Lucas, Scheel, Stefan

论文摘要

我们研究了一个全面的光学设置,允许在其大归化特征空间上生成非亚洲几何阶段。该提案具有M -POD系统的形式,可以根据集成的光子波导结构来实现。我们表明,通过向光学设置中注入大量的光子,特征空间的退化速度迅速缩放。在研究系统的光谱特性为一般情况下,我们展示了如何在装有两个光子的光学三脚架的黑暗子空间上产生任意u(4)。此外,在任何原子类似物中都不存在的系统的明亮子空间中的变性,可以产生通用的单量子操作。最后,我们解决了自动计算的复杂性问题。特别是,我们展示了如何在光子三脚架上实现两分和三Q量状态,在光子三脚架上,自然的多目标结构是从波导的空间模式结构继承的。

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.

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