Accelerated 2D magnetic resonance spectroscopy of single spins using matrix completion

TL;DR

This paper introduces a matrix completion-based method to significantly accelerate 2D NMR spectroscopy, enabling spectrum recovery from minimal data, demonstrated on NV center systems, with potential broad applications.

Contribution

The authors develop and experimentally validate a matrix completion approach to reduce data acquisition time in 2D NMR spectroscopy, particularly for single-spin systems.

Findings

Main spectral peaks recovered with only 10% of data

Method applicable to low-rank spectral matrices

Potential for faster 2D spectroscopy in various applications

Abstract

Two dimensional nuclear magnetic resonance (NMR) spectroscopy is one of the major tools for analysing the chemical structure of organic molecules and proteins. Despite its power, this technique requires long measurement times, which, particularly in the recently emerging diamond based single molecule NMR, limits its application to stable samples. Here we demonstrate a method which allows to obtain the spectrum by collecting only a small fraction of the experimental data. Our method is based on matrix completion which can recover the full spectral information from randomly sampled data points. We confirm experimentally the applicability of this technique by performing two dimensional electron spin echo envelope modulation (ESEEM) experiments on a two spin system consisting of a single nitrogen vacancy (NV) centre in diamond coupled to a single 13C nuclear spin. We show that the main peaks in the spectrum can be obtained with only 10 % of the total number of the data points. We believe that our results reported here can find an application in all types of two dimensional spectroscopy, as long as the measured matrices have a low rank.