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Negativity of the Wigner function as an indicator of nonclassicality

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arxiv quant-ph/0406015 v1 pith:GWMJNSI2 submitted 2004-06-02 quant-ph

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keywords statesfockfunctionnonclassicalitywigneranalyzecat-likecoherent
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A measure of nonclassicality of quantum states based on the volume of the negative part of the Wigner function is proposed. We analyze this quantity for Fock states, squeezed displaced Fock states and cat-like states defined as coherent superposition of two Gaussian wave packets.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The Information Content of Krylov Observables: A Machine Learning Approach

    hep-th 2026-07 conditional novelty 5.0 of 10

    Under chaos, the normalized Wigner negativity χ(t) carries information about the fine return dynamics that spread complexity C(t) cannot, with the asymmetry gap rising from +0.33 to +0.77 across the integrable-to-GUE ...

  2. Classical and quantum mechanics across representations: an operational reading of the Wigner Weyl correspondence

    quant-ph 2026-07 conditional novelty 5.0 of 10

    The robust classical–quantum boundary across Wigner–Weyl representations is noncommutative star-multiplication, not negativity or the choice of phase-space versus Hilbert-space language.

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