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

arXiv:2609.24670 · quant-ph · Submitted 2026-09-21 · Read on arXiv

quant-ph

Submitted: 2026-09-21

Updated: 2026-09-21

Terminology

• Wigner function — 28× in this paper · explained in 2 episodes
• Non-Gaussianity — 7× in this paper · explained in 2 episodes
• Core — 1× in this paper · explained in 2 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Generative AI — 1× in this paper · explained in 2 episodes
• Inverse Problem — 1× in this paper · explained in 2 episodes
• Trace — 1× in this paper · explained in 2 episodes
• Trace Distance — 1× in this paper · explained in 3 episodes

Sources

• Characterising the sets of quantum states with non-negative Wigner function
• Extreme non-negative Wigner functions
• In Wigner phase space, convolution explains why the vacuum majorizes mixtures of Fock states
• Inverse problems for the zeros of the Wigner function
• Wigner entropy below vacuum: physical counterexamples and stability limits

Related papers

• Reconquering Bell sampling on qudits: stabilizer learning and testing, quantum pseudorandomness bounds, and more
• Encrypted clones can leak: Classification of informative subsets in Quantum Encrypted Cloning
• Polynomial-time classical and quantum simulation of quantum impurity models
• Theory of quantum-enhanced interferometry with general Markovian light sources
• A convergent hierarchy of spectral gap certificates for qubit Hamiltonians
• Universal Bound and Phase Transition in Many-Body Fermionic Non-Gaussianity