Navigating the 16-dimensional Hilbert space of a high-spin donor qudit with electric and magnetic fields

Irene Fernández de Fuentes, Tim Botzem, Mark A. I. Johnson, Arjen Vaartjes, Serwan Asaad, Vincent Mourik, Fay E. Hudson, Kohei M. Itoh, Brett C. Johnson, Alexander M. Jakob, Jeffrey C. McCallum, David N. Jamieson, Andrew S. Dzurak and Andrea Morello ()
Additional contact information
Irene Fernández de Fuentes: UNSW Sydney
Tim Botzem: UNSW Sydney
Mark A. I. Johnson: UNSW Sydney
Arjen Vaartjes: UNSW Sydney
Serwan Asaad: UNSW Sydney
Vincent Mourik: UNSW Sydney
Fay E. Hudson: UNSW Sydney
Kohei M. Itoh: Keio University
Brett C. Johnson: RMIT University
Alexander M. Jakob: University of Melbourne
Jeffrey C. McCallum: University of Melbourne
David N. Jamieson: University of Melbourne
Andrew S. Dzurak: UNSW Sydney
Andrea Morello: UNSW Sydney

Nature Communications, 2024, vol. 15, issue 1, 1-9

Abstract: Abstract Efficient scaling and flexible control are key aspects of useful quantum computing hardware. Spins in semiconductors combine quantum information processing with electrons, holes or nuclei, control with electric or magnetic fields, and scalable coupling via exchange or dipole interaction. However, accessing large Hilbert space dimensions has remained challenging, due to the short-distance nature of the interactions. Here, we present an atom-based semiconductor platform where a 16-dimensional Hilbert space is built by the combined electron-nuclear states of a single antimony donor in silicon. We demonstrate the ability to navigate this large Hilbert space using both electric and magnetic fields, with gate fidelity exceeding 99.8% on the nuclear spin, and unveil fine details of the system Hamiltonian and its susceptibility to control and noise fields. These results establish high-spin donors as a rich platform for practical quantum information and to explore quantum foundations.

Date: 2024
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DOI: 10.1038/s41467-024-45368-y

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