Quantum annealing in capacitively coupled Kerr parametric oscillators using frequency-chirped drives

We study parametric oscillations of two capacitively coupled Kerr parametric oscillators (KPOs) with frequency-chirped two- and one-photon drives. The two-KPO system adiabatically evolves from the initial vacuum state to an oscillation state corresponding to a solution state in quantum-annealing applications. Frequency chirping dynamically changes the detuning between resonance and oscillation frequencies during parametric modulation and reduces unwanted population transfer to excited states caused by pure dephasing and photon loss. We observe that frequency chirping increases the success probability to obtain the solution state and that simulations taking into account pure dephasing reproduce experiments with and without frequency chirping. This study demonstrates the effectiveness and applicability of frequency chirping to a KPO-based quantum annealer.

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Publication Details

Journal
Physical Review Applied
Published
2025-12-04
DOI
https://doi.org/10.1103/6nxd-nsvg
Primary Topic
Quantum Information and Cryptography
Type
article
Field-Weighted Citation Impact
0.00
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article

Quantum annealing in capacitively coupled Kerr parametric oscillators using frequency-chirped drives

Karl J. Friston
Physical Review Applied
Quantum Information and Cryptography
article

Quantum annealing in capacitively coupled Kerr parametric oscillators using frequency-chirped drives

Karl J. Friston
article en

Abstract

We study parametric oscillations of two capacitively coupled Kerr parametric oscillators (KPOs) with frequency-chirped two- and one-photon drives. The two-KPO system adiabatically evolves from the initial vacuum state to an oscillation state corresponding to a solution state in quantum-annealing applications. Frequency chirping dynamically changes the detuning between resonance and oscillation frequencies during parametric modulation and reduces unwanted population transfer to excited states caused by pure dephasing and photon loss. We observe that frequency chirping increases the success probability to obtain the solution state and that simulations taking into account pure dephasing reproduce experiments with and without frequency chirping. This study demonstrates the effectiveness and applicability of frequency chirping to a KPO-based quantum annealer.

Physical Review AppliedVol. 24(6)
National Institute of Advanced Industrial Science and Technology (JP)
Openalex Percentile: Top 79%
Quantum Information and Cryptography
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