论文标题
QFitter-应用于有效的现场理论的量子拟合框架
QFitter -- A Quantum Fitting Framework Applied to Effective Field Theories
论文作者
论文摘要
使用实验数据来限制有效场理论（EFT）的Wilson系数的值，涉及最大程度地减少可能包含局部最小值的$χ^2 $函数。经典优化算法可能会被困在这些最小值中，从而阻止了全球最小值的确定。量子退火框架有可能克服这一限制，并可靠地找到非凸功能的全局最小值。我们提出QFitter，这是一种执行EFT拟合的量子退火方法。使用最先进的量子退火器，我们以具体的示例显示QFitter可用于拟合至少八个系数，包括其二次贡献。可以包括任意数量的可观测值，而无需更改所需的量子数。我们提供了一个示例，其中$χ^2 $是非convex，并表明Qfitter可以比其经典替代方案更准确地找到全局最小值。
The use of experimental data to constrain the values of the Wilson coefficients of an Effective Field Theory (EFT) involves minimising a $χ^2$ 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 $χ^2$ is non-convex and show that QFitter can find the global minimum more accurately than its classical alternatives.
