Noise-Whitened Observability Geometry in Dynamical-Decoupling Spectroscopy

Key Points

• This work aims to examine how noise influences observability geometry in dynamical-decoupling spectroscopy.
• Introduced a covariance-dependent observability geometry using the noise-whitened Fisher metric.
• Analyzed the effects of correlated observational noise on geometric reorganization.
• Investigated soft-mode rotation and anisotropy redistribution in reduced inverse-map geometry.
• Correlated observational noise resulted in substantial smooth but localized geometric reorganization.
• Notable soft-mode rotation and redistribution of anisotropy were observed in the geometry.
• The findings suggest significant implications for understanding noise effects in spectroscopy.