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Nonclassicality Criteria from Phase-Space Representations and Information-Theoretical Constraints Are Maximally Inequivalent

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  • We Consider Two Celebrated Criteria For Defining The Nonclassicality Of Bipartite Bosonic Quantum Sy
  • The First Stemming From Information Theoretic Concepts And The Second From Physical Constraints On T
  • Consequently
  • Two Sets Of Allegedly Classical States Are Singled Out: (I) The Set C Composed Of The So-Called Clas
  • (Ii) The Set P Of States Endowed With A Positive P Representation (P-Classical States)—Mixtures Of G
  • E
  • G
  • Fail To Show Negativity Of Their Wigner Function
  • By Showing That C And P Are Almost Disjoint
  • We Prove That The Two Defining Criteria Are Maximally Inequivalent
  • Thus
  • The Notions Of Classicality That They Put Forward Are Radically Different
  • In Particular
  • Generic Cc States Show Quantumness In Their P Representation
  • And Vice Versa
  • Almost All P-Classical States Have Positive Quantum Discord And
  • Hence
  • Are Not Cc
  • This Inequivalence Is Further Elucidated Considering Different Applications Of P-Classical And Cc St
  • Our Results Suggest That There Are Other Quantum Correlations In Nature Than Those Revealed By Entan
  • Education


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