Certifying the quantumness of a nuclear spin qudit through its uniform precession

Spin precession is a textbook example of dynamics of a quantum system that exactly mimics its classical counterpart. Here we challenge this view by certifying the quantumness of exotic states of a nuclear spin through its uniform precession. The key to this result is measuring the positivity, instea...

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Published inarXiv.org
Main Authors Vaartjes, Arjen, Nurizzo, Martin, Lin Htoo Zaw, Wilhelm, Benjamin, Yu, Xi, Holmes, Danielle, Schwienbacher, Daniel, Kringhøj, Anders, van Blankenstein, Mark R, Jakob, Alexander M, Hudson, Fay E, Itoh, Kohei M, Murray, Riley J, Blume-Kohout, Robin, Namit Anand, Dzurak, Andrew S, Jamieson, David N, Scarani, Valerio, Morello, Andrea
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 11.10.2024
Subjects
Accuracy
Nanoelectronics
Nanotechnology devices
Nuclear spin
Precession
Quantum theory
Spin dynamics
Statistical analysis
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Summary:Spin precession is a textbook example of dynamics of a quantum system that exactly mimics its classical counterpart. Here we challenge this view by certifying the quantumness of exotic states of a nuclear spin through its uniform precession. The key to this result is measuring the positivity, instead of the expectation value, of the \(x\)-projection of the precessing spin, and using a spin > 1/2 qudit, that is not restricted to semi-classical spin coherent states. The experiment is performed on a single spin-7/2 \(^{123}\)Sb nucleus, implanted in a silicon nanoelectronic device, amenable to high-fidelity preparation, control, and projective single-shot readout. Using Schr\"odinger cat states and other bespoke states of the nucleus, we violate the classical bound by 19 standard deviations, proving that no classical probability distribution can explain the statistic of this spin precession, and highlighting our ability to prepare quantum resource states with high fidelity in a single atomic-scale qudit.
ISSN:2331-8422