3D Quantum Random Walks in Laser-Written Waveguide Structures

我们提议的目的是促进对各种晶格几何上相关和纠缠光子的量子随机游走（QRWs）的理解和控制，以期为新的片上量子模拟和计算应用奠定基础。我们的建议特别针对模拟复杂量子系统的领域。了解量子输运的基本方面，对于理解自然界中各种复杂的现象，如光合作用，是必不可少的。沿着这些思路，通过将量子rw复杂度提高到三维晶格几何，可以研究一类全新的网络。除了模拟复杂量子系统的可能性之外，量子搜索算法的实现也变得可行，这将对量子计算领域产生巨大的推动作用。由于整个项目依赖于波导晶格，因此它受益于集成量子光学器件的优势。凭借优越的稳定性和鲁棒性，可以为光子qrw设计量子网络，这些网络比建立在光学表上的块光学系统小几个数量级，具有更高的效率和保真度，并且需要更少的资源来实现。通过这样做，先进的片上量子计算和模拟能够在现实世界中应用。

The aim of our proposal is to promote the understanding and control of quantum random walks (QRWs) of correlated and entangled photons on various lattice geometries, with the vision to establish a basis for new, on-chip quantum simulation and computing applications. Our proposal addresses in particular the field of simulating complex quantum systems. Gaining knowledge about fundamental aspects of quantum transport, is essential to understand a variety of elaborate phenomenon in nature like for instance photosynthesis. Along these lines, by enhancing the QRW complexity to three-dimensional lattice geometries a whole new class of networks can be investigated. Besides the possibility to simulate complicated quantum systems the implementation of quantum search algorithms becomes feasible, which will give a tremendous boost in the field of quantum computation. Since the complete project relies on waveguide lattices it benefits from the advantages of integrated quantum-optical devices. With the superior stability and robustness, it is possible to design quantum networks for photonic QRWs that are orders of magnitudes smaller than bulk-optical systems built on an optical table, that work with higher efficiency and fidelity, and that require much less resources for their implementation. In doing so, advanced on-chip quantum computing and simulations becomes capable of real-world applications.