2006/03/06 by G. C. Ghirardi, GianCarlo Ghirardi, Luca Marinatto · 13 citations
Computer Science · Mathematics · Physics and Astronomy · #Mathematical economics #Mathematics #Physics #Pure mathematics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum chaos and dynamical systems #Quantum entanglement #Quantum mechanics #Quantum nonlocality #Theoretical physics #quant-ph
paper · pdf · doi:10.1103/physreva.73.032102
published in Physical Review A 73(3) (American Physical Society) · 7 pages, RevTex
openalex publication_date 2006/03/06 · arxiv created 2006/03/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We generalize Hardy's proof of nonlocality to the case of bipartite mixed statistical operators, and we exhibit a necessary condition which has to be satisfied by any given mixed state \ensuremathσ in order that a local and realistic hidden variable model exists which accounts for the quantum mechanical predictions implied by \ensuremathσ. Failure of this condition will imply both the impossibility of any local explanation of certain joint probability distributions in terms of hidden variables and the nonseparability of the considered mixed statistical operator. Our result can be also used to determine the maximum amount of noise, arising from imperfect experimental implementations of the original Hardy's proof of nonlocality, in presence of which it is still possible to put into evidence the nonlocal features of certain mixed states.