High-dimensional quantum information processing has emerged as a promising avenue to transcend hardware limitations and advance the frontiers of quantum technologies. Harnessing the untapped potential of the so-called qudits necessitates the development of quantum protocols beyond the established qubit methodologies. Here, we present a robust, hardware-efficient, and extensible approach for operating multidimensional solid-state systems using Raman-assisted two-photon interactions. To demonstrate its efficacy, we construct a set of multi-qubit operations, realize highly entangled multidimensional states including atomic squeezed states and Schr\"odinger cat states, and implement programmable entanglement distribution along a qudit array. Our work illuminates the quantum electrodynamics of strongly driven multi-qudit systems and provides the experimental foundation for the future development of high-dimensional quantum applications.
@article{arxiv.2312.17741,
title = {Empowering high-dimensional quantum computing by traversing the dual bosonic ladder},
author = {Long B. Nguyen and Noah Goss and Karthik Siva and Yosep Kim and Ed Younis and Bingcheng Qing and Akel Hashim and David I. Santiago and Irfan Siddiqi},
journal= {arXiv preprint arXiv:2312.17741},
year = {2024}
}