We demonstrate an experimental test of the Clauser–Horne– Shimony–Holt (CHSH) Bell inequality which seemingly exhibits correlations beyond the limits imposed by quantum mechanics. Inspired by the idea of Fourier synthesis, we design analysers that measure specific superpositions of orbital angular momentum (OAM) states, such that when one analyser is rotated with respect to the other, the resul...

Given a bipartite quantum state ρ with subsystems A and B of arbitrary dimensions, we study the entanglement detecting capabilities of locally noneffective, or cyclic, unitary operations [L. B. Fu, Europhys. Lett., vol. 75, pp. 1–7, 2006]. Local cyclic unitaries have the special property that they leave their target subsystem invariant. We investigate the distance between ρ and the global state...

A local hidden variable model exploiting the detection loophole to reproduce exactly the quantum correlation of the singlet state is presented. The model is shown to be compatible with both the CHSH and the CH Bell inequalities. Moreover, it bears the same rotational symmetry as spins. The reason why the model can reproduce the quantum correlation without violating the Bell theorem is that in t...

The idea of self-testing is to render guarantees concerning the inner workings a device based on measurement statistics. It one most formidable quantum certification and benchmarking schemes. Recently it was shown by Coladangelo et. al. (Nat Commun 8, 15485 (2017)) that all pure bipartite entangled states can be self tested in independent scenario employing subspace methods introduced Yang (Phy...

Brassard et al. [Phys. Rev. Lett. 96, 250401 (2006)] showed that shared nonlocal boxes with the CHSH probability greater than 3+ √ 6 6 yields trivial communication complexity. There still exists the gap with the maximum CHSH probability 2+ √ 2 4 achievable by quantum mechanics. It is an interesting open question to determine the exact threshold for the trivial communication complexity. Brassard...

Bell's theorem asserts that no model satisfies all of the plausible physical assumptions outcome independence (OI), measurement (MI) and Parameter Independence (PI) can reproduce quantum mechanics. Here I find optimum saturates CHSH inequality for case hold but parameter dependence is allowed. bound as a function measure show proposed by [New Journal Physics,12(8):083051] optimal one-way depend...

Top quarks represent unique high-energy systems since their spin correlations can be measured, thus allowing to study fundamental aspects of quantum mechanics with qubits at colliders. We present here the general framework state a top-antitop ($t\bar{t}$) quark pair produced through chromodynamics (QCD) in collider. argue that, general, total that probed collider is given terms production densi...

Nonlocality is one of the most important resources for quantum information protocols. The observation nonlocal correlations in a Bell experiment result appropriately chosen measurements and states. We quantify minimal purity to achieve certain value any operator. Since fundamental resource state, this enables us also necessary coherence, discord, entanglement given violation two-qubit correlati...

The Bell/CHSH inequalities of quantum physics are identical with the inequalities derived in mathematical psychology for the problem of selective influences in cases involving two binary experimental factors and two binary random variables recorded in response to them. The following points are made regarding cognitive science applications: (1) compliance of data with these inequalities is infor...

Bell inequalities are relevant for many problems in quantum information science, but finding them particles is computationally hard. Recently, a feasible method called cone-projection technique has been developed to find all optimal under some constraints, which may be given by symmetry or other linear conditions. In this paper we extend work several directions. We use the generalize I4422 ineq...