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Analytic Wigner Negativity for Mixtures and Superpositions of the Lowest Fock States
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DOI：10.1007/s10773-025-06241-w.png)
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Abstract
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The integrated negativity of the Wigner function, a computable and experimentally measurable indicator of nonclassicality linked to quantum speedup, non-Gaussianity, contextuality, and tunneling, has rarely been obtained in analytical form. Here we derive an analytical expression for the Wigner function negativity of single-mode states with at most one excitation, as well as for those obtained from them through linear symplectic transformations. Within this two-dimensional manifold, the states can be represented as points inside or on the surface of a Bloch sphere, and we show that those with a positive Wigner function form an ellipsoid inscribed within it. Furthermore, we establish a strong correlation between Wigner negativity and the trace-distance negativity, an alternative quantifier that is easier to access experimentally.
Keywords:
Wigner function
Wigner negativity
Quantum optics
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I
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1.7
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199
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0
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