Exact steering bound for two-qubit Werner states
Whether positive operator-valued measures (POVMs) provide advantages in demonstrating
Bell nonlocality has remained unknown, even in the simple scenario of Einstein-Podolsky …
Bell nonlocality has remained unknown, even in the simple scenario of Einstein-Podolsky …
Improved local models and new Bell inequalities via Frank-Wolfe algorithms
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 …
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
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 …
projective measurements on the two-qubit Werner state $\rho= v|\psi_-\rangle\langle\psi …
Revealing hidden quantum steerability using local filtering operations
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 …
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
Measurement correlations in quantum systems can exhibit non-local behavior, a
fundamental aspect of quantum mechanics with applications such as device-independent …
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 …
characterized by local hidden variable models (LHVMs) given by integrals and sums. We …
Convex separation from convex optimization for large-scale problems
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 …
Contrl., vol. 4, pp. 61-80, 1966], to prove separation between a point and an arbitrary convex …
Entanglement without hidden nonlocality
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 …
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 …
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
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 …
over $1 $-dimensional ones in a specific optimisation task. They have applications ranging …