Using discrete and continuous variable subsystems, hybrid approaches to quantum information could enable more quantum computational power for the same physical resources. Here, we propose a hybrid scheme that can be used to generate the necessary Gaussian and non-Gaussian operations for universal continuous variable quantum computing in trapped ions. This scheme utilizes two linear spin-motion interactions to generate a broad set of non-linear effective spin-motion interactions including one and two mode squeezing, beam splitter, and trisqueezing operations in trapped ion systems. We discuss possible experimental implementations using laser-based and laser-free approaches.
@article{arxiv.2105.05768,
title = {Universal hybrid quantum computing in trapped ions},
author = {R. T. Sutherland and R. Srinivas},
journal= {arXiv preprint arXiv:2105.05768},
year = {2021}
}