# Quantum operators for the computation of exponential weighted integrals of expectation values

## TL;DR

This paper introduces an analytical 'integral operator' method for efficiently computing exponential weighted expectation values of quantum operators, enhancing speed and accuracy in NMR and Muon Spectroscopy simulations.

## Contribution

The paper presents a novel analytical approach that improves the efficiency and precision of calculating exponential weighted expectation values in quantum systems.

## Key findings

- Faster computation of expectation values compared to numerical methods
- Higher precision in simulation results for NMR and Muon Spectroscopy
- Applicable to a range of quantum expectation value calculations

## Abstract

An analytically derived 'integral operator' approach is introduced to estimate the expectation value of a quantum operator for an evolving state weighted with an exponential function. This allows to compute quantities useful in Nuclear Magnetic Resonance or Muon Spectroscopy experiment simulations with greater speed and precision than the standard numerical integration approach.