Multiple quantum NMR in solids as a method of determination of Wigner-Yanase skew information

TL;DR

This paper establishes a relationship between Wigner-Yanase skew information and multiple quantum NMR coherences in solids, providing a novel method to determine quantum information measures through NMR spectra at various temperatures.

Contribution

It introduces a new approach linking Wigner-Yanase skew information with MQ NMR coherences, enabling quantum information analysis via NMR experiments in solids.

Findings

Wigner-Yanase skew information equals the double second moment of MQ NMR spectrum at double temperature.

The method applies across different evolution times in MQ NMR experiments.

Comparison shows consistency between many-spin entanglement measures derived from Wigner-Yanase and Fisher information.

Abstract

A connection of the Wigner-Yanase skew information and multiple quantum (MQ) NMR coherences is considered at different temperatures and evolution times of nuclear spins with dipole-dipole interactions in MQ NMR experiments in solids. It is shown that the Wigner-Yanase skew information at temperature $T$ is equal to the double second moment of the MQ NMR spectrum at the double temperature for any evolution times. A comparison of the many-spin entanglement obtained with the Wigner-Yanase information and the Fisher information is conducted.