  The use of experimental data to constrain the values of the Wilson
coefficients of an Effective Field Theory (EFT) involves minimising a $\chi^2$
function that may contain local minima. Classical optimisation algorithms can
become trapped in these minima, preventing the determination of the global
minimum. The quantum annealing framework has the potential to overcome this
limitation and reliably find the global minimum of non-convex functions. We
present QFitter, a quantum annealing method to perform EFT fits. Using a
state-of-the-art quantum annealer, we show with concrete examples that QFitter
can be used to fit sets of at least eight coefficients, including their
quadratic contributions. An arbitrary number of observables can be included
without changing the required number of qubits. We provide an example in which
$\chi^2$ is non-convex and show that QFitter can find the global minimum more
accurately than its classical alternatives.
