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

TL;DR

This paper demonstrates that frequency-chirped drives in capacitively coupled Kerr parametric oscillators enhance quantum annealing success rates by dynamically managing detuning, reducing errors, and aligning simulations with experimental results.

Contribution

It introduces the use of frequency chirping in KPOs for improved quantum annealing, showing its effectiveness in increasing success probability and aligning theory with experiments.

Findings

Frequency chirping increases success probability in quantum annealing.

Simulations with pure dephasing match experimental results.

Frequency chirping reduces unwanted population transfer.

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.