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Metadata 
bibkey: sprietlangrenez2026kdreal
authors: Matéo Spriet, Christopher Langrenez, Raymond Brummelhuis, Stephan De Bièvre
year: 2026
title: "What Is Special About the Kirkwood–Dirac Distributions? Only They Produce Natural Conditional Expectations"
doi: 10.48550/arXiv.2511.01996
url: https://arxiv.org/abs/2511.01996v2
claim: "In view of what precedes, it is tempting to conjecture that, if $\\hat \\rho$ and $\\hat X$ are both KD real, the optimal observable $\\hat L$ must not be KD-real itself, provided $\\rm I_{QF}$ does not vanish."
strata_touched:
  - D5/S3/Quantum/Information/KirkwoodDiracSLDRefutation
license: citation-only
triage: anchor

Spriet–Langrenez–Brummelhuis–De Bièvre, Kirkwood–Dirac distributions

Matéo Spriet, Christopher Langrenez, Raymond Brummelhuis and Stephan De Bièvre, What Is Special About the Kirkwood–Dirac Distributions? Only They Produce Natural Conditional Expectations, arXiv:2511.01996v2 (2026), §6.3.

Verified locator

DOI: https://doi.org/10.48550/arXiv.2511.01996

Source: https://arxiv.org/abs/2511.01996v2

Source statement

“In view of what precedes, it is tempting to conjecture that, if and are both KD real, the optimal observable must not be KD-real itself, provided does not vanish.” This is the unnumbered conjecture immediately after equation (6.23) in §6.3.