Abstract We propose a scheme for quantum game based on performing an EPR-type experiment and in which each player’s spatial directional choices are considered as their strategies. A classical mixed-strategy is recovered by restricting the players’ to specific trajectories. show that Bell-CHSH inequality violated, payoffs have no mapping within game. The provides more direct link between games.

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 ...

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 ...

We study the nonlocality of arbitrary dimensional bipartite quantum states. By computing the maximal violation of a set of multi-setting Bell inequalities, an analytical and computable lower bound has been derived for general two-qubit states. This bound gives the necessary condition that a two-qubit state admits no local hidden variable models. The lower bound is shown to be better than that f...

Relatively few families of Bell inequalities have previously been identified. Some examples are the trivial, CHSH, Imm22, and CGLMP inequalities. This paper presents a large number of new families of tight Bell inequalities for the case of many observables. For example, 44,368,793 inequivalent tight Bell inequalities other than CHSH are obtained for the case of 2 parties each with 10 2-valued o...

Geometric phase phenomena have been observed with single neutrons in polarimeter and interferometer experiments. Interacting with static and timedependent magnetic fields, the state vectors acquire a geometric phase tied to the evolution within spin subspace. In a polarimeter experiment the non-additivity of quantum phases for mixed spin input states is observed. In a Si perfectcrystal interfer...

It is well known that the fair-sampling loophole in Bell test opened by the selection of the state to be measured can lead to post-quantum correlations. In this paper, we make the selection of the results after measurement, which opens the fair- sampling loophole too, and thus can lead to post-quantum correlations. This kind of result-selection loophole can be realized by pre- and post-selectio...

Single-photon entanglement is a peculiar type of in which two or more degrees freedom single photon are correlated quantum-mechanically. Here, we demonstrate photonic integrated chip able to generate and manipulate single-photon path-entangled states, using commercial red LED as light source. A Bell test, the Clauser, Horne, Shimony, Holt (CHSH) form, performed confirm presence entanglement, re...

We discuss the relationship between Bogoliubov transformations, squeezed states, entanglement and maximum violation of Bell-CHSH inequality. In particular, we point out that construction four bounded operators entering inequality can be worked in a simple general way, covering large variety models, ranging from Quantum Mechanism to relativistic Field Theories. Various examples are employed illu...