It is a major goal in quantum thermometry to reach a 1/N scaling of thermometric precision known as Heisenberg scaling but is still in its infancy to date. The main obstacle is that the resources typically required are highly entangled states, which are very difficult to produce and extremely vulnerable to noises. Here, we propose an entanglement-free scheme of thermometry to approach Heisenberg scaling for a wide range of N, which has built-in robustness irrespective of the type of noise in question. Our scheme is amenable to a variety of experimental setups. Moreover, it can be used as a basic building block for promoting previous proposals of thermometry to reach Heisenberg scaling, and its applications are not limited to thermometry but can be straightforwardly extended to other metrological tasks.

量子测温的一个主要目标是达到温度测量精度的 1/ N标度，称为海森堡标度，但迄今为止仍处于起步阶段。主要障碍是通常所需的资源是高度纠缠态，它们很难产生并且极易受到噪声的影响。在这里，我们提出了一种无纠缠的温度计方案，以接近海森堡缩放范围内的N，无论所讨论的噪声类型如何，它都具有内置的鲁棒性。我们的方案适用于各种实验设置。此外，它可以作为一个基本的构建块来促进以前的温度计提案达到海森堡标度，它的应用不仅限于温度计，还可以直接扩展到其他计量任务。