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Quantum Annealing

The effect of anneal path control on hard 2-SAT problems with a known energy landscape

In this project we study the effect of the anneal path control per qubit, a new user control feature offered on the D-Wave 2000Q quantum annealer, on the performance of quantum annealing for solving optimization problems by numerically solving the time-dependent Schrödinger equation for the time-dependent Hamiltonian modeling the annealing problems. The anneal path control is thereby modeled as a modified linear annealing scheme, resulting in an advanced and retarded scheme. The considered optimization problems are 2-SAT problems with 12 Boolean variables, a known unique ground state and a highly degenerate first excited state. We show that adjustment of the anneal path control can result in a widening of the minimal spectral gap by one or two orders of magnitude and an enhancement of the success probability of finding the solution of the optimization problem. We scrutinize various iterative methods based on the spin floppiness, the average spin value, and on the average energy and describe their performance in boosting the quantum annealing process.

Partners

German Entrepreneurship GmbH, Germany
Project Coordinator

Forschungszentrum Jülich GmbH, Germany
The contact person is Kristel Michielsen k.michielsen@fz-juelich.de

Volkswagen AG, Data:Lab Munich, Germany


The project was funded by Volkswagen AG

Granting period: December 2017 until April 2018.

The project results have been published: Quantum annealing with anneal path control