Wigner entropy below vacuum: physical counterexamples and stability limits

arXiv:2609.13312 · quant-ph · Submitted 2026-09-10 · Read on arXiv

quant-ph

Submitted: 2026-09-10

Updated: 2026-09-24

Comments: 33 pages, 5 figures. Expanded revision of v1 (10 Sep 2026), originally titled "Physical Counterexamples to the Wigner Shannon Entropy Conjecture". Adds dimensional amplification, half-loss recovery and explicit entropy-sign certificates. This revision is archived at https://doi.org/10.5281/zenodo.22941099

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Wigner function — 7× in this paper · explained in 2 episodes
• Core — 5× in this paper · explained in 2 episodes
• Trace — 3× in this paper · explained in 2 episodes

Sources

• Extending Hudson's theorem to mixed quantum states

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