Time-optimal control of a solid-state spin amidst dynamical quantum wind

Time-optimal control holds promise across the full spectrum of quantum technologies, where the rapid generation of unitary gates and state transformations is crucial to mitigate decoherence effects. In practical scenarios, quantum systems are always immersed in an external time-dependent field or potential, either owing to the inevitable influence of the environment or as a sought-after effect for enhanced coherence. The challenge then lies in finding the time-optimal approach to navigate quantum systems amidst dynamical ambient Hamiltonians, a pursuit that has proven elusive thus far. We showcase the implementation of arbitrary quantum state transformations and a universal set of single-qubit gates under a background Landau-Zener Hamiltonian. Leveraging the favorable coherence properties of timedomain Rabi oscillations, we achieve velocities surpassing the Mandelstam-Tamm quantum speed limit and significantly lower energy costs than those incurred by conventional quantum control techniques. These findings highlight a promising pathway to expedite and economize high-fidelity quantum operations.

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Publication Details

Journal
npj Quantum Information
Published
2024-11-05
DOI
https://doi.org/10.1038/s41534-024-00912-y
Citations
1
Primary Topic
Quantum Information and Cryptography
Type
article
Field-Weighted Citation Impact
0.35

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Time-optimal control of a solid-state spin amidst dynamical quantum wind

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Time-optimal control of a solid-state spin amidst dynamical quantum wind

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article en
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Abstract

Time-optimal control holds promise across the full spectrum of quantum technologies, where the rapid generation of unitary gates and state transformations is crucial to mitigate decoherence effects. In practical scenarios, quantum systems are always immersed in an external time-dependent field or potential, either owing to the inevitable influence of the environment or as a sought-after effect for enhanced coherence. The challenge then lies in finding the time-optimal approach to navigate quantum systems amidst dynamical ambient Hamiltonians, a pursuit that has proven elusive thus far. We showcase the implementation of arbitrary quantum state transformations and a universal set of single-qubit gates under a background Landau-Zener Hamiltonian. Leveraging the favorable coherence properties of timedomain Rabi oscillations, we achieve velocities surpassing the Mandelstam-Tamm quantum speed limit and significantly lower energy costs than those incurred by conventional quantum control techniques. These findings highlight a promising pathway to expedite and economize high-fidelity quantum operations.

npj Quantum InformationVol. 10(1)
University of Science and Technology of China (CN), Hefei University of Technology (CN), Hospital de Viladecans (ES), Hefei National Center for Physical Sciences at Nanoscale (CN), National Engineering Research Center of Electromagnetic Radiation Control Materials (CN), Instituto de Química Orgánica General (ES), Universitat de Barcelona (ES)
Ministerio de Ciencia, Innovación y Universidades, National Natural Science Foundation of China, Generalitat de Catalunya, Government of Jiangsu Province, University of Science and Technology of China, Agència de Gestió d'Ajuts Universitaris i de Recerca, National Key Research and Development Program of China
Affordable and clean energy
Openalex Percentile: Top 32%
Quantum Information and Cryptography
0.35
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