Assessment of Larmor-Related Spectral Stability as a Function of Port Count and Mechanical Vibrations

The latest generation of low-cost quantum computers, such as desktop NMR-based systems, is becoming increasingly attractive for both scientific and academic applications. For this reason, it is essential to assess the reliability and stability of the fundamental parameters of such devices, especially as circuit complexity increases or when they are exposed to external factors, since these conditions may cause parameter shifts that can lead to erroneous results. Systematic procedures for the sensitivity analysis and characterization of such devices are still underdeveloped, yet they are essential to ensure their proper operation. This work aims to assess the repeatability of the Larmor-related spectral component in the rotating frame, used as a practical indicator for the Larmor frequency, under increasing circuit depth and in the presence of external disturbances, such as mechanical vibrations. The proposed approach provides the foundation for establishing quantitative metrics of stability and reproducibility, which are essential for ensuring the robustness of next-generation quantum computing platforms.