Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Wigner negativity in spin-$j$ systems   The nonclassicality of simple spin systems as measured by Wigner negativity
is studied on a spherical phase space. Several SU(2)-covariant states with
common qubit representations are addressed: spin coherent, spin cat (GHZ/N00N),
and Dicke ($\textsf{W}$). We derive a bound on the Wigner negativity of spin
cat states that rapidly approaches the true value as spin increases beyond $j
\gtrsim 5$. We find that spin cat states are not significantly Wigner-negative
relative to their Dicke state counterparts of equal dimension. We also find, in
contrast to several entanglement measures, that the most Wigner-negative Dicke
basis element is spin-dependent, and not the equatorial state $| j,0 \rangle$
(or $|j,\pm 1/2 \rangle$ for half-integer spins). These results underscore the
influence that dynamical symmetry has on nonclassicality, and suggest a guiding
perspective for finding novel quantum computational applications.

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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
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The categories of this paper are: eess
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The categories of this paper are: mtrl-th
2
The categories of this paper are: math
15
The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: stat
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The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
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The categories of this paper are: econ