2014/07/22 by Leonardo Guerini, Guerini, Leonardo
Computer Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Algorithm #CHSH inequality #Dimension (graph theory) #FOS: Physical sciences #Hidden variable theory #Local hidden variable theory #Mathematics #Physics #Pure mathematics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Quantum entanglement #Quantum mechanics #Quantum nonlocality #State (computer science) #Statistical physics #Theoretical physics #quant-ph
paper · pdf · doi:10.48550/arxiv.1407.5958
published in arXiv (Cornell University) (Cornell University) · Master's thesis, 77 pages, 6 figures, conclusion updated in July, 2014
arxiv created 2014/07/22 · openalex publication_date 2014/07/22 · arxiv updated 2014/07/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
This Master's thesis has two central subjects: the simulation of correlations generated by local measurements on entangled quantum states by local hidden-variables models and the revelation of hidden nonlocality. We present and detail the Werner's local model and the hidden nonlocality of some Werner states of dimension d≥5, the Gisin-Degorre's local model for a Werner state of dimension d=2 and the local model of Hirsch et al. for mixtures of the singlet state and noise, all of them for projective measurements. Finally, we introduce the local model for POVMs of Hirsch et al. for a state constructed upon the singlet with noise, that still violates the CHSH inequality after local filters are applied, hence presenting the so-called genuine hidden nonlocality.