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Zi-Xuan He

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Preprint Sep 2026

Wigner entropy below vacuum: physical counterexamples and stability limits

Positive Wigner functions can have less Shannon entropy than the vacuum, even arbitrarily close to the vacuum state. We construct physical counterexamples and identify the competition that controls their entropy: the relative entropy to the vacuum phase-space density can exceed twice the mean photon number. A two-level...

Zi-Xuan He · 1 citation
Preprint Sep 2026

Physical Counterexamples to the Wigner Shannon Entropy Conjecture

We construct physical quantum states with everywhere positive Wigner functions whose Shannon entropy lies below the vacuum value $1+\ln\pi$. Besides an explicit finite-energy counterexample, we obtain rank-two finite-Fock-support families with analytic positivity and entropy bounds. For fixed Fock level $n$ and coheren...

Zi-Xuan He · 0 citations

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