Vacancies in graphene: an application of adiabatic quantum optimization

• URL: http://arxiv.org/abs/2010.05803v1
• Date: Mon, 12 Oct 2020 15:59:39 GMT
• Title: Vacancies in graphene: an application of adiabatic quantum optimization
• Authors: Virginia Carnevali, Ilaria Siloi, Rosa Di Felice, and Marco Fornari
• Abstract summary: Quantum annealers have grown in complexity to the point that quantum computations involving few thousands of qubits are now possible. In this paper, we used a simple model, compatible with the capability of current quantum annealers, to study the relative stability of graphene vacancy defects. Our approach exploits textcolorblackthe ground state as well the excited states found by the quantum annealer to extract all the possible arrangements of multiple defects on the graphene sheet together with their relative formation energies.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Quantum annealers have grown in complexity to the point that quantum computations involving few thousands of qubits are now possible. In this paper, \textcolor{black}{with the intentions to show the feasibility of quantum annealing to tackle problems of physical relevance, we used a simple model, compatible with the capability of current quantum annealers, to study} the relative stability of graphene vacancy defects. By mapping the crucial interactions that dominate carbon-vacancy interchange onto a quadratic unconstrained binary optimization problem, our approach exploits \textcolor{black}{the ground state as well the excited states found by} the quantum annealer to extract all the possible arrangements of multiple defects on the graphene sheet together with their relative formation energies. This approach reproduces known results and provides a stepping stone towards applications of quantum annealing to problems of physical-chemical interest.

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