Quantum gates are essential for the realization of quantum computer and have been implemented in various types of two-level systems. However, high-dimensional quantum gates are rarely investigated both theoretically and experimentally even that high-dimensional quantum systems exhibit remarkable advantages over two-level systems for some quantum information and quantum computing tasks. Here we experimentally demonstrate the four-dimensional X gate and its unique higher orders with the average conversion efficiency 93\%. All these gates are based on orbital-angular-momentum degree of freedom of single photons. Besides, a set of controlled quantum gates is implemented by use of polarization degree of freedom. Our work is an important step towards the goal of achieving arbitrary high-dimensional quantum circuit and paves a way for the implementation of high-dimensional quantum communication and computation.
@article{arxiv.2010.05268,
title = {Experimental Demonstration of Efficient High-dimensional Quantum Gates with Orbital Angular Momentum},
author = {Yunlong Wang and Shihao Ru and Feiran Wang and Pei Zhang and Fuli Li},
journal= {arXiv preprint arXiv:2010.05268},
year = {2021}
}
Comments
7 pages, 5 figures; Accepted Quantum Science and Technology