Universal linear optical operations on discrete phase-coherent spatial modes
Abstract
Linear optical operations are fundamental and significant for both quantum mechanics and classical technologies. We demonstrate a non-cascaded approach to perform arbitrary unitary and non-unitary linear operations for N-dimensional phase-coherent spatial modes with meticulously designed phase gratings. As implemented on spatial light modulators (SLMs), the unitary transformation matrix has been realized with dimensionalities ranging from 7 to 24 and the corresponding fidelities are from 95.1% to 82.1%. For the non-unitary operators, a matrix is presented for the tomography of a 4-level quantum system with a fidelity of 94.9%. Thus, the linear operator has been successfully implemented with much higher dimensionality than that in previous reports. It should be mentioned that our method is not limited to SLMs and can be easily applied on other devices. Thus we believe that our proposal provides another option to perform linear operation with a simple, fixed, error-tolerant and scalable scheme.
Cite
@article{arxiv.1801.05092,
title = {Universal linear optical operations on discrete phase-coherent spatial modes},
author = {Peng Zhao and Shikang Li and Xue Feng and Stephen M. Barnett and Wei Zhang and Kaiyu Cui and Fang Liu and Yidong Huang},
journal= {arXiv preprint arXiv:1801.05092},
year = {2020}
}