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High-dimensional quantum systems present efficient, compact, and robust schemes for error correction and logical encoding in quantum information processing [, ]. Our group has recently demonstrated successful fabrication and full control of a 7/2 nuclear spin in a single antimony donor in silicon , leveraging the established infrastructure and fabrication strategies from phosphorus qubits. This advancement opens new avenues for qudit research, which we are actively exploring.

The 123Sb system offers a variety of control protocols, including conventional magnetic resonance (NMR) and nuclear electric resonance (NER), the latter of which we first experimentally demonstrated in 2020 . Through the development of complex phase-coherent control schemes, we have created logical states such as Schrödinger cat states and performed logical operations on a single antimony donor . This sophisticated control of a high-dimensional Hilbert space paves the way for exciting research in fault-tolerant quantum computing, including logical encoding, universal logical operations, syndrome detection, and error correction.

[Fuentes2024]

Xi Yu,ÌýBenjamin Wilhelm,ÌýDanielle Holmes,ÌýArjen Vaartjes,ÌýDaniel Schwienbacher,ÌýMartin Nurizzo,ÌýAnders Kringhøj,ÌýMark R. van Blankenstein,ÌýAlexander M. Jakob,ÌýPragati Gupta,ÌýFay E. Hudson,ÌýKohei M. Itoh,ÌýRiley J. Murray,ÌýRobin Blume-Kohout,ÌýThaddeus D. Ladd,ÌýAndrew S. Dzurak,ÌýBarry C. Sanders,ÌýDavid N. Jamieson,ÌýAndrea MorelloÌýCreation and manipulation of Schrödinger cat states of a nuclear spin qudit in silicon (2024)

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 & Andrea MorelloÌýNavigating the 16-dimensional Hilbert space of a high-spin donor qudit with electric and magnetic fields (2024)Ìý

Serwan Asaad, Vincent Mourik, Benjamin Joecker, Mark A. I. Johnson, Andrew D. Baczewski, Hannes R. Firgau, Mateusz T. MÄ…dzik, Vivien Schmitt, Jarryd J. Pla, Fay E. Hudson, Kohei M. Itoh, Jeffrey C. McCallum, Andrew S. Dzurak, Arne Laucht & Andrea MorelloÌýCoherent electrical control of a single high-spin nucleus in silicon (2020)

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at University of Calgary, at NASA Ames, at University of Melbourne, Fay Hudson at UNSW Sydney,Ìý Andrew Dzurak at UNSW Sydney, at Keio University, at University of Technology Sydney, at University of Sydney, at University of Manchester, at University of Oxford, at Google, Giordano Scappucci at QuTech,TU Delft.