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This research introduces a two-stage control protocol for counterdiabatic driving in trapped-ion systems, enabling ground-state preparation without requiring knowledge of spectral gaps or non-local controls. By benchmarking the method on up to 14 qubits, the study demonstrates a practical path toward scaling quantum shortcut-to-adiabaticity techniques using only accessible local operations.
Quantum counterdiabatic driving enhanced by two-stage local control
arXiv:2403.01854v2 Announce Type: replace Abstract: Counterdiabatic driving can suppress diabatic losses during adiabatic ground state preparation. As its implementation necessitates the generation of an adiabatic gauge potential, which requires knowledge of the spectral gap of instantaneous Hamiltonians and involves highly non-local controls in many-body systems, local counterdiabatic driving with approximate adiabatic gauge potential has been widely adopted. In this work, using transverse-field Ising model as an example, we present an in-depth study of the performance of local counterdiabatic protocols and provide a closed-form analysis of ground-state-fidelity optimization. We then propose a two-stage protocol based on local counterdiabatic and simple local single-body control to further improve the performance. The practical implementation of these protocols does not require diagonalization of instantaneous Hamiltonians or spectral gaps, and only additional local single-body driving is involved. To benchmark their performance, we experimentally implement digitized adiabatic quantum evolution in a trapped-ion system. We characterize the quality of the prepared states and explore the scaling behavior with system size up to 14 qubits. Our demonstration of quantum shortcut to adiabaticity opens a path towards preparing ground states of complex systems with accessible local controls.
Abstract:Counterdiabatic driving can suppress diabatic losses during adiabatic ground state preparation. As its implementation necessitates the generation of an adiabatic gauge potential, which requires knowledge of the spectral gap of instantaneous Hamiltonians and involves highly non-local controls in many-body systems, local counterdiabatic driving with approximate adiabatic gauge potential has been widely adopted. In this work, using transverse-field Ising model as an example, we present an in-depth study of the performance of local counterdiabatic protocols and provide a closed-form analysis of ground-state-fidelity optimization. We then propose a two-stage protocol based on local counterdiabatic and simple local single-body control to further improve the performance. The practical implementation of these protocols does not require diagonalization of instantaneous Hamiltonians or spectral gaps, and only additional local single-body driving is involved. To benchmark their performance, we experimentally implement digitized adiabatic quantum evolution in a trapped-ion system. We characterize the quality of the prepared states and explore the scaling behavior with system size up to 14 qubits. Our demonstration of quantum shortcut to adiabaticity opens a path towards preparing ground states of complex systems with accessible local controls.
Quantum Physics (quant-ph); Statistical Mechanics (cond-mat.stat-mech); Applied Physics (physics.app-ph); Atomic Physics (physics.atom-ph)
arXiv:2403.01854 [quant-ph]
(or arXiv:2403.01854v2 [quant-ph] for this version)
https://doi.org/10.48550/arXiv.2403.01854 Focus to learn more arXiv-issued DOI via DataCite
https://doi.org/10.1038/s42005-026-02767-5 Focus to learn more DOI(s) linking to related resources
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