We construct a simple algorithm to generate any CHSH type Bell inequality involving a party with two local binary measurements from two CHSH type inequalities without this party. The algorithm readily generalizes to situations, where the additional observer uses three measurement settings. There, each inequality involving the additional party is constructed from three inequalities with this par...

Entangled states are important for quantum cryptography, being used in several protocols of quantum key distribution. These provide an alternative to single-photon-based protocols. Entangled states are also important in fundamental terms, in the way that the behavior of these states is contradictory with the predicted by local theories. This contradiction is shown by the violation of Bell’s ine...

In this paper we show a Clauser-Horne (CH) inequality for two three-level quantum systems or qutrits, alternative to the CH inequality given by Kaszlikowski et al. [Phys. Rev. A 65, 032118 (2002)]. In contrast to this latter CH inequality, the new one is shown to be equivalent to the ClauserHorne-Shimony-Holt (CHSH) inequality for two qutrits given by Collins et al. [Phys. Rev. Lett. 88, 040404...

The relation between the violation of the Bell-CHSH inequalities and entanglement properties of quantum states is not clear so one may consider the mixedness of the system to understand the entanglement properties better than the Bell-CHSH inequality. In this respect, we prove that if the mixedness of the state measured by the linear entropy is less than 2 3 but strictly greater than zero then ...

Separability is a concept that is very difficult to define, and yet much of our scientific method is implicitly based upon the assumption that systems can sensibly be reduced to a set of interacting components. This paper examines the notion of separability in the creation of bi-ambiguous compounds that is based upon the CHSH and CH inequalities. It reports results of an experiment showing that...

" To estimate the value of the CHSH inequality, we accumulate n = 3,016 successive entanglement events over the period of about one month. "

We consider a subgroup of unitary transformations on mode light induced by Mach-Zehnder Interferometer and an algebra observables describing photon-number detector preceded the interferometer. explore uncertainty principles between such their usefulness in performing Bell-like experiment to show violation Clauser-Horne-Shimony-Holt (CHSH) inequality under physical assumption that distinguishes ...

A generalization of the CHSH-Bell inequality to arbitrary many settings is presented. The singlet state of two spin 1 2 violates this inequality for all numbers of setting. In the limit of arbitrarily large number of settings, the violation tends to the finite ratio 4 π ≈ 1.27.