Exact steering bound for two-qubit Werner states

Y Zhang, E Chitambar - Physical Review Letters, 2024 - APS
Whether positive operator-valued measures (POVMs) provide advantages in demonstrating
Bell nonlocality has remained unknown, even in the simple scenario of Einstein-Podolsky …

Improved local models and new Bell inequalities via Frank-Wolfe algorithms

S Designolle, G Iommazzo, M Besançon, S Knebel… - Physical Review …, 2023 - APS
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 …

Better local hidden variable models for two-qubit Werner states and an upper bound on the Grothendieck constant

F Hirsch, MT Quintino, T Vértesi, M Navascués… - Quantum, 2017 - quantum-journal.org
We consider the problem of reproducing the correlations obtained by arbitrary local
projective measurements on the two-qubit Werner state $\rho= v|\psi_-\rangle\langle\psi …

Revealing hidden quantum steerability using local filtering operations

T Pramanik, YW Cho, SW Han, SY Lee, YS Kim… - Physical Review A, 2019 - APS
Nonlocal quantum correlation is at the heart of the bizarre nature of quantum physics. While
there are various classes of nonlocal quantum correlation, steerability of a quantum state by …

Discovering local hidden-variable models for arbitrary multipartite entangled states and arbitrary measurements

N von Selzam, F Marquardt - arxiv preprint arxiv:2407.04673, 2024 - arxiv.org
Measurement correlations in quantum systems can exhibit non-local behavior, a
fundamental aspect of quantum mechanics with applications such as device-independent …

Continuous and discrete local hidden variable theories are equivalent

Y Chen, S **ao, K Han, Z Guo, H Cao - Information Sciences, 2023 - Elsevier
In quantum theory, Bell locality of quantum states (generally, of correlations, or boxes) is
characterized by local hidden variable models (LHVMs) given by integrals and sums. We …

Convex separation from convex optimization for large-scale problems

S Brierley, M Navascues, T Vertesi - arxiv preprint arxiv:1609.05011, 2016 - arxiv.org
We present a scheme, based on Gilbert's algorithm for quadratic minimization [SIAM J.
Contrl., vol. 4, pp. 61-80, 1966], to prove separation between a point and an arbitrary convex …

Entanglement without hidden nonlocality

F Hirsch, MT Quintino, J Bowles, T Vértesi… - New Journal of …, 2016 - iopscience.iop.org
We consider Bell tests in which the distant observers can perform local filtering before
testing a Bell inequality. Notably, in this setup, certain entangled states admitting a local …

Qutrit witness from the Grothendieck constant of order four

P Diviánszky, E Bene, T Vértesi - Physical Review A, 2017 - APS
In this paper, we prove that KG (3)< KG (4), where KG (d) denotes the Grothendieck constant
of order d. To this end, we use a branch-and-bound algorithm commonly used in the solution …

Better bounds on Grothendieck constants of finite orders

S Designolle, T Vértesi, S Pokutta - arxiv preprint arxiv:2409.03739, 2024 - arxiv.org
Grothendieck constants $ K_G (d) $ bound the advantage of $ d $-dimensional strategies
over $1 $-dimensional ones in a specific optimisation task. They have applications ranging …