Clustering into Three Groups on a Quantum Processor of Five Spins S = 1, Controlled by Pulses of Resonant RF Fields

We consider a quantum processor based on five qutrits represented by spins S  = 1, which is driven by radio frequency (RF) pulses selective in transitions between adjacent levels. Numerical simulation of the implementation of the quantum-adiabatic clustering algorithm was performed on the example of...

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Bibliographic Details
Published in:Applied magnetic resonance 2023-07, Vol.54 (7), p.661-677
Main Authors: Pichkovskiy, I. S., Zobov, V. E.
Format: Article
Language:English
Subjects:
Algorithms
Atoms and Molecules in Strong Fields
Clustering
Energy
Hilbert space
Laser Matter Interaction
Magnetic fields
Microprocessors
Organic Chemistry
Original Paper
Physical Chemistry
Physics
Physics and Astronomy
Quadrupoles
Quantum computing
Radio frequency
Solid State Physics
Spectroscopy/Spectrometry
Time dependence
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Summary:We consider a quantum processor based on five qutrits represented by spins S  = 1, which is driven by radio frequency (RF) pulses selective in transitions between adjacent levels. Numerical simulation of the implementation of the quantum-adiabatic clustering algorithm was performed on the example of partitioning a set of six points into three groups. We find the amplitudes and durations of rectangular RF pulses, as well as the durations of free evolution intervals in the control pulse sequence, which made it possible to engineer a time-dependent effective Hamiltonian in the discrete-time approximation. Also we studied the dependence of the implementation fidelity on the parameters. We took quadrupole nuclei as qutrits, but the results obtained will be useful for controlling quantum processors based on qutrits represented by other systems.
ISSN:0937-9347
1613-7507
DOI:10.1007/s00723-023-01544-9