Abstract The well known Bell experiment with two actors Alice and Bob is considered. First the simple deduction leading to CHSH inequality under local realism reviewed, some arguments from literature are recapitulated. Then I take up certain background themes before enter a discussion of Alice’s analysis situation. An important point that her mind limited by fact Hilbert space in this context t...

We describe a new Bell test for two-particle entangled systems that engages an unbounded continuous variable. The continuous variable state is allowed to be arbitrary and inaccessible to direct measurements. A systematic method is introduced to perform the required measurements indirectly. Our results provide new perspectives on both the study of local realistic theory for continuousvariable sy...

This paper aims at reproducing quantum mechanical (QM) spin and entanglement results using a realist, stochastic, local approach, without the standard QM mathematical formulation. The concrete model proposed includes description of Stern–Gerlach apparatuses Bell test experiments. Single particle trajectories are explicitly evaluated as function few stochastic variables that they assumedly carry...

Here we present experimental realizations of two new entanglement detection methods: a three-measurement Bell inequality inequivalent to the Clauser-Horne-Shimony-Holt inequality and a nonlinear Bell-type inequality based on the negativity measure. In addition, we provide an experimental and theoretical comparison between these new methods and several techniques already in use: the traditional ...

We obtain optimal bounds for the problem of conveying classical messages by communication between a sender and receiver who can utilize non-local correlations obeying the Non-Signaling Principle. These include correlations arising from quantum entanglement, but also include “super-quantum” correlations (e.g. those that maximally violate the CHSH inequality). Our result simultaneously simplifies...

It is shown that Bell’s theorem fails for the Clifford algebra valued local realistic variables. This is made evident by exactly reproducing quantum mechanical expectation value for the EPR-Bohm type spin correlations observable by means of a local, deterministic, Clifford algebra valued variable, without necessitating either remote contextuality or backward causation. Since Clifford product of...

The Schrodinger's cat thought experiment highlights the counterintuitive concept of entanglement in macroscopically distinguishable systems. The hallmark of entanglement is the detection of strong correlations between systems, most starkly demonstrated by the violation of a Bell inequality. No violation of a Bell inequality has been observed for a system entangled with a superposition of cohere...

We study optimal conditions for violation of the Clauser-Horne-Shimony-Holt form of the Bell inequality in the presence of decoherence and measurement errors. We obtain all detector configurations providing the maximal Bell inequality violation for a general (pure or mixed) state. We consider local decoherence which includes energy relaxation at the zero temperature and arbitrary dephasing. Con...