How to experimentally evaluate the adiabatic condition for quantum annealing

TL;DR

This paper introduces an experimental method to evaluate the adiabatic condition in quantum annealing by measuring the power spectrum, enabling analysis of transition matrix elements and energy gaps without Hamiltonian diagonalization.

Contribution

The paper presents a novel experimental approach to assess the adiabatic condition in quantum annealing through power spectrum measurements, avoiding Hamiltonian diagonalization.

Findings

Method successfully estimates transition matrix elements.

Method accurately measures energy gaps.

Provides a practical tool for analyzing QA performance.

Abstract

We propose an experimental method for evaluating the adiabatic condition during quantum annealing (QA), which will be essential for solving practical problems. The adiabatic condition consists of the transition matrix element and the energy gap, and our method simultaneously provides information about these components without diagonalizing the Hamiltonian. The key idea is to measure the power spectrum of a time domain signal by adding an oscillating field during QA, and we can estimate the values of the transition matrix element and energy gap from the measurement output. Our results provides a powerful experimental basis for analyzing the performance of QA.