We demonstrate three-dimensional magnetic resonance tomography with a resolution down to 5.9 ± 0.1 nm. Our measurements use lithographically fabricated microwires as a source of three-dimensional magnetic field gradients, which we use to image NV centers in a densely doped diamond by Fourier-accelerated magnetic resonance tomography. We also demonstrate a compressed sensing scheme, which allows for direct visual interpretation without numerical optimization and implements an effective zoom into a spatially localized volume of interest, such as a localized cluster of NV centers. It is based on aliasing induced by equidistant undersampling of k-space. The resolution achieved in our work is comparable to the best existing schemes of super-resolution microscopy and approaches the positioning accuracy of site-directed spin labeling, paving the way to three-dimensional structure analysis by magnetic-gradient based tomography.

我们展示了分辨率低至 5.9 ± 0.1 nm 的三维磁共振断层扫描。我们的测量使用光刻制造的微线作为三维磁场梯度源，我们用它通过傅里叶加速磁共振断层扫描对密集掺杂的金刚石中的 NV 中心进行成像。我们还演示了一种压缩传感方案，该方案允许直接视觉解释而无需数值优化，并实现对感兴趣的空间局部体积（例如局部 NV 中心集群）的有效缩放。它基于 k 空间等距欠采样引起的混叠。我们工作中实现的分辨率可与现有的最佳超分辨率显微镜方案相媲美，并且接近定点自旋标记的定位精度，为基于磁梯度的断层扫描进行三维结构分析铺平了道路。