Noise-Whitened Observability Geometry in Dynamical-Decoupling Spectroscopy

Introduces a covariance-dependent observability geometry for dynamical-decoupling spectroscopy using the noise-whitened Fisher metric F=JTΣ−1JF = J^T\Sigma^{-1}JF=JTΣ−1J. The work shows that correlated observational noise induces smooth but localized geometric reorganization, including substantial soft-mode rotation and anisotropy redistribution in reduced inverse-map geometry.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-18
DOI
https://doi.org/10.5281/zenodo.20259697
Primary Topic
Spectroscopy and Laser Applications
Type
preprint
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preprint

Noise-Whitened Observability Geometry in Dynamical-Decoupling Spectroscopy

Hiroyuki Shioiri
Zenodo (CERN European Organization for Nuclear Research)
Spectroscopy and Laser Applications
preprint

Noise-Whitened Observability Geometry in Dynamical-Decoupling Spectroscopy

Hiroyuki Shioiri
preprint en

Abstract

Introduces a covariance-dependent observability geometry for dynamical-decoupling spectroscopy using the noise-whitened Fisher metric F=JTΣ−1JF = J^T\Sigma^{-1}JF=JTΣ−1J. The work shows that correlated observational noise induces smooth but localized geometric reorganization, including substantial soft-mode rotation and anisotropy redistribution in reduced inverse-map geometry.

Zenodo (CERN European Organization for Nuclear Research)
Spectroscopy and Laser Applications
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