Certified Weak-Topology Inverse Readout for Singular Density-Selected Phase Kicks: Covariance Hardening and Singularity-Exponent Diagnostics

Key Points

• The aim is to present a robust methodology for analyzing singular density-selected phase kicks through weak-topology inverse readout.
• Developed a certified framework for weak-topology inverse readout
• Integrated covariance hardening techniques
• Provided supplementary resources including an executable-reference/API
• Successfully implemented diagnostics for singularity exponents
• Showed improvements in covariance estimation under certain conditions
• Presented a novel approach to phase kick analysis, enhancing uncertainty quantification accuracy