Powered by OpenAIRE graph
Found an issue? Give us feedback
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/ ZENODOarrow_drop_down
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
ZENODO
Preprint . 2026
License: CC BY
Data sources: ZENODO
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
ZENODO
Preprint . 2026
License: CC BY
Data sources: ZENODO
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
ZENODO
Preprint . 2026
License: CC BY
Data sources: ZENODO
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
versions View all 4 versions
addClaim

Sequence-Dependent Spectral-Slope Diagnostics via XY-8/CPMG Coherence-Time Ratios

Authors: Hiroyuki, Shioiri;

Sequence-Dependent Spectral-Slope Diagnostics via XY-8/CPMG Coherence-Time Ratios

Abstract

This work develops a microscopic account of sequence-dependent decoherencetime ratios in dynamical-decoupling (DD) spectroscopy. We show that a nontrivial ratio between coherence times measured under XY-8 and CPMG does not arise generically from standard Gaussian pure-dephasing theory: in the white-noise limit, Parseval’s theorem enforces R ≡ τXY/τCPMG = 1, so any deviation from unity must originate from spectral structure rather than total filter power alone. We then consider a minimal noncommuting-noise extension in which sequence-dependent channel redistribution shifts one transverse contribution sampled by XY-8 from ωeff to ωeff/2, while CPMG continues to sample the relevant channels at ωeff. In the narrow-band regime this yields the microscopic ratio law R = 2S(ωeff)/[S(ωeff) + S(ωeff/2)]. For power-law spectra S(ω) ωα, the ratio becomes R = 2/(1 + 2 α), giving R = 1 for white∝⁻ noise (α = 0), R = 4/3 for an Ohmic bath (α = 1), and R = 2/3 for 1/f noise (α = −1). The value R = 4/3 is therefore not universal but emerges as the special signature of an Ohmic spectrum. These results identify the XY-8/CPMG coherence-time ratio as a spectral-slope-sensitive observable and suggest a direct diagnostic strategy: measuring R in the narrow-band regime directly constrains the local bath exponent governing the sampled frequency window. This establishes a distinct theoretical direction from the effective benchmark treatment of Paper A and from the time-discontinuous channel-accessibility mechanism of Paper B, while remaining directly testable on NV-center platforms.

Keywords

CPMG, spectral exponent, coherence-time ratio, Ohmic noise, quantum sensing, decoherence, dynamical decoupling, noise spectroscopy, XY-8, power-law spectrum

  • BIP!
    Impact byBIP!
    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    0
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Average
Powered by OpenAIRE graph
Found an issue? Give us feedback
selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average