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arXiv · 2310.12173

On the nonclassicality distance indicator of qudits

Arsen Khvedelidze·Astghik Torosyan
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Abstract

We consider the nonclassicality distance indicator of a state in finite-dimensional quantum systems which is evaluating a state nonclassicality by its remoteness from the set of "classical states". The latter are identified with those states whose Wigner function is non-negative. The corresponding Wigner function's positivity polytope in the simplex of qudit eigenvalues is introduced and the representation for the nonclassicality distance indicator as a piecewise function is derived. The results are exemplified by the qutrit case.

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Arsen Khvedelidze, Astghik Torosyan. 2023-10-15. On the nonclassicality distance indicator of qudits. https://arxiv.org/abs/2310.12173

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