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Sponsored AI Networking Cookbook: Practical recipes for AI-assisted network automation and development AI Networking Cookbook: Practical recipes for AI-assisted network automation and development

Author

Zacharie Van Herstraeten

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Preprint Sep 2026

Differential hierarchy of the Husimi representation

Phase-space representations reveal the geometry of quantum mechanics and distinguish quantum features from classical ones. However, the positivity of a density operator is among the properties of quantum states that phase-space representations capture least directly: deciding whether a phase-space function describes a...

Zacharie Van Herstraeten, Ulysse Chabaud · 0 citations
Preprint Sep 2026

Wigner-positive quantum states can have lower entropy than the vacuum

The Wigner entropy conjecture posits that pure Gaussian states minimize the Shannon entropy of non-negative Wigner functions, known as the Wigner entropy. We show that mixing a specific pure Wigner-negative state with another suitably chosen quantum state can restore Wigner positivity while retaining a Wigner entropy t...

Zacharie Van Herstraeten, N. J. Cerf, Ulysse Chabaud · 0 citations

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