3D Quantum Random Walks in Laser-Written Waveguide Structures

我们提议的目的是促进对关联和纠缠光子在不同晶格几何上的量子随机行走(QRW)的理解和控制，以期为新的芯片上量子模拟和计算应用奠定基础。我们的建议特别涉及模拟复杂量子系统的领域。获得有关量子传输基本方面的知识，对于理解自然界中各种复杂的现象是必不可少的，例如光合作用。沿着这些思路，通过将QRW的复杂性提高到三维晶格几何结构，可以研究一类全新的网络。除了可以模拟复杂的量子系统外，量子搜索算法的实现也成为可能，这将极大地推动量子计算领域的发展。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。凭借卓越的稳定性和健壮性，有可能为光子QRW设计量子网络，这些量子网络比建立在光学台上的体光学系统小几个数量级，工作效率和保真度更高，实现起来需要的资源要少得多。通过这样做，先进的片上量子计算和模拟变得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.