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In Bell scenarios with two outcomes per party, we algorithmically consider the two sides of the membership problem for the local polytope: constructing local models and deriving separating hyperplanes, that is, Bell inequalities.
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More efficient Bell inequalities for Werner states
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D. Avis, S. Moriyama, and M. Owari · 2009
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Nonclassicality thresholds for multiqubit states: numerical analysis
J. Gruca, W. Laskowski, M. Żukowski, N. Kiesel, W. Wieczorek, C. Schmid, and H. Weinfurter · 2010
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Quantum Computation and Quantum Information: 10th Anniversary Edition
M. A. Nielsen and I. L. Chuang · 2011
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Nonclassicality threshold for the three-qubit Greenberger–Horne–Zeilinger state
T. Vértesi and K. F. Pál · 2011
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Separability criteria for mixed three-qubit states
S. Szalay · 2011
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Lazifying conditional gradient algorithms
G. Braun, S. Pokutta, and D. Zink · 2019
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Symmetries between measurements in quantum mechanics
H. C. Nguyen, S. Designolle, M. Barakat, and O. Gühne · 2020
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Frank-Wolfe and friends: a journey into projection-free first-order optimization methods
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Revisiting Frank-Wolfe: projection-free sparse convex optimization
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Bell nonlocality
N. Brunner, D. Cavalcanti, S. Pironio, V. Scarani, and S. Wehner · 2014
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Towards Grothendieck constants and LHV models in quantum mechanics
B. Hua, M. Li, T. Zhang, C. Zhou, X. Li-Jost, and S.-M. Fei · 2015
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On the global linear convergence of Frank-Wolfe optimization variants
S. Lacoste-Julien and M. Jaggi · 2015
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Convex separation from convex optimization for large-scale problems
S. Brierley, M. Navascués, and T. Vértesi · 2016
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Can non-local correlations be discriminated in polynomial time?
A. Montina and S. Wolf · 2016
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Bell nonlocality is not sufficient for the security of standard device-independent quantum key distribution protocols
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JuliaPolyhedra/Polyhedra.jl: v0.6.16 (2021)
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Sparser kernel herding with pairwise conditional gradients without swap steps
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Faster exact solution of sparse MaxCut and QUBO problems
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Optimal tests of genuine multipartite nonlocality
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Two-qutrit entanglement: 56-years old algorithm challenges machine learning
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Quadratization and convexification in polynomial binary optimization
Y. Crama, S. Elloumi, A. Lambert, and E. Rodriguez-Heck · 2022
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Revisiting the approximate Carathéodory problem via the Frank-Wolfe algorithm
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