Analysis of Pulse Electron-Electron Double Resonance (PELDOR) Data on a Quantum Computer

Quantum processing units (QPU) in theory propose a computational supremacy in a significant number of tasks. Quantum programs are well suited for vector and matrix data processing. The greatest concern is whether physical implementations will step over the noise and decoherence limitations: today in the noisy intermediate-scale quantum (NISQ) era the bigger the problem, the less reliable the results are. In this work, we show that even NISQ computers can be used to obtain reliable results in processing experimental data. We perform quantum Fourier transform (QFT) of PELDOR oscillation at IonQ trapped ion QPU followed by spin labels' distance measurement by analysis of oscillation data. For 4 and 5-qubit programs, we show the results comparable to Fourier analysis on a classical computer.