Ratio Map, Operator Fixed Points, and Multi-Ratio Protocol Design in Dynamical-Decoupling Noise Spectroscopy

Derivation and structural analysis of the ratio map R(α)=21+2−αR(\alpha)=\frac{2}{1+2^{-\alpha}}R(α)=1+2−α2 arising in dynamical-decoupling noise spectroscopy.The work develops its combinatorial origin, Parseval weight structure, logistic and operator-mean representations, Fisher/fragility geometry, and multi-ratio protocol design framework.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-19
DOI
https://doi.org/10.5281/zenodo.20285684
Primary Topic
Spectroscopy and Laser Applications
Type
preprint
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preprint

Ratio Map, Operator Fixed Points, and Multi-Ratio Protocol Design in Dynamical-Decoupling Noise Spectroscopy

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

Ratio Map, Operator Fixed Points, and Multi-Ratio Protocol Design in Dynamical-Decoupling Noise Spectroscopy

Hiroyuki Shioiri
preprint en

Abstract

Derivation and structural analysis of the ratio map R(α)=21+2−αR(\alpha)=\frac{2}{1+2^{-\alpha}}R(α)=1+2−α2 arising in dynamical-decoupling noise spectroscopy.The work develops its combinatorial origin, Parseval weight structure, logistic and operator-mean representations, Fisher/fragility geometry, and multi-ratio protocol design framework.

Zenodo (CERN European Organization for Nuclear Research)
Spectroscopy and Laser Applications
DOIOpen Access PDFOpenAlex
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Ratio Map, Operator Fixed Points, and Multi-Ratio Protocol Design in Dynamical-Decoupling Noise Spectroscopy — Hiroyuki Shioiri · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS