By employing a free scalar Quantum Field Theory model previously introduced \cite{Peruzzo:2022pwv}, we attempt at formulating the Bell-CHSH inequality within Feynman path integral. This possibility relies on observation that exhibits natural extension to in such way it is compatible with time ordering $T$. treating propagator as distribution and by introducing suitable localizing set of compact...

Only nite precision measurements are experimentally reasonable, and they cannot distinguish a dense subset from its closure. We show that the rational vectors, which are dense in S 2 , can be colored so that the contradiction with hidden variable theories provided by Kochen-Specker constructions does not obtain. Thus, in contrast to violation of the Bell inequalities, no quantum-over-classical ...

Bell-inequality violations establish that two systems share some quantum entanglement. We give a simple test to certify that two systems share an asymptotically large amount of entanglement, n EPR states. The test is efficient: unlike earlier tests that play many games, in sequence or in parallel, our test requires only one or two CHSH games. One system is directed to play a CHSH game on a rand...

We point out that, when the dimension of Hilbert space is greater than two, Bell’s operators entering Bell-CHSH inequality do exhibit inequivalent unitary matrix representations. Although turns to be violated, size violation different for representations, maximum being given by Tsirelson’s bound. The feature relies on a pairing mechanism between modes system.

It is well known that the violation of Bell’s inequality in the form given by Clauser, Horne, Shimony, and Holt (CHSH) in two-qubit systems requires entanglement, but not vice versa, i.e., there are entangled states which do not violate the CHSH inequality. Here we compare some standard entanglement measures with violations of the CHSH inequality (as given by the Horodecki measure) for two-qubi...

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...

Quantum theory imposes a strict limit on the strength of non-local correlations. It only allows for a violation of the CHSH inequality up to the value 2 √ 2, known as Tsirelson’s bound. In this paper, we consider generalized CHSH inequalities based on many measurement settings with two possible measurement outcomes each. We demonstrate how to prove Tsirelson bounds for any such generalized CHSH...

Non-locality and quantum measurement are two fundamental topics in theory theirinterplay attracts intensive focus since the discovery of Bell theorem. sharing amongmultiple observers is predicted experimentally observed. However, only one-sided sequentialcase, i.e., one Alice multiple Bobs widely discussed little known about two-sided case.Here, we theoretically explore non-locality sequentialm...

Despite claims that Bell’s inequalities are based on the Einstein locality condition, or equivalent, all derivations make an identical mathematical assumption: that local hidden-variable theories produce a set of positive-definite probabilities for detecting a particle with a given spin orientation. The standard argument is that because quantum mechanics assumes that particles are emitted in a ...

In a recent letter, Jennewein et al. [1] reported an experiment demonstrating entanglement swapping among two pairs (0,1 and 2,3) of down-converted photons. They accomplished this by performing a Bell measurement on photons 1 and 2, and they verified the effect with regular polarization measurements on photons 0 and 3. By selecting data from runs in which 1,2 are measured to be in the Bell stat...