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...

By using an alternative, equivalent form of the CHSH inequality and making extensive use of the experimentally testable property of physical locality we determine the 64 different Bell-type inequalities (each one involving four joint probabilities) into which Hardy’s nonlocality theorem can be cast. This allows one to identify all the two-qubit correlations which can exhibit Hardy-type nonlocal...

In the experimental verification of Bell’s inequalities in real photonic experiments, it is generally believed that the so-called fair sampling assumption (which means that a small fraction of results provide a fair statistical sample) has an unavoidable role. Here, we want to show that the interpretation of these experiments could be feasible, if some different alternative assumptions other th...

In a nonlocal scenario, physically isolated players each have a device that inputs and outputs classical information. Certain correlations between the joint input and output of the devices almost uniquely identify the quantum state that they share. This phenomenon is known as self-testing and has applications in quantum cryptography with untrusted devices. It was for example shown that for ever...

We study evolution of entanglement of two two-level atoms in the presence of dissi-pation caused by spontaneous emission. We find explicit formulas for the amount of entanglement as a function of time, in the case of destruction of the initial entanglement and possible creation of a transient entanglement between atoms. We also discuss how spontaneous emission influences nonlocality of states e...

We explore nonlocality of three-qubit pure symmetric states shared between Alice, Bob and Charlie using the Clauser-Horne-Shimony-Holt (CHSH) inequality. make use elegant parametrization in canonical form these states, proposed by Meill Meyer (Phys. Rev. A, 96, 062310 (2017)) based on Majorana geometric representation. The reduced two-qubit extracted from an arbitrary entangled state do not vio...

By using an alternative, equivalent form of the CHSH inequality and making extensive use of the experimentally testable property of physical locality we determine the 64 different Bell-type inequalities (each one involving four joint probabilities) into which Hardy’s nonlocality theorem can be cast. This allows one to identify all the two-qubit correlations which can exhibit Hardy-type nonlocal...

Elaborating on a previous work by Han et al. [Phys. Lett. A 221 (1996) 283], we provide a general, basis-independent proof of the necessity of negative probability measures in certain local hidden-variable (LHV) models giving a violation of the Bell-CHSH inequality. Moreover, we obtain general solutions for LHV-induced probability measures that reproduce any consistent set of probabilities. PAC...

The $N$-qubit Greenberger-Horne-Zeilinger (GHZ) states are the maximally entangled of $N$ qubits, which have had many important applications in quantum information processing, such as key distribution and secret sharing. Thus how to distinguish GHZ from other becomes a significant problem. In this work, by presenting family generalized Clauser-Horne-Shimony-Holt (CHSH) inequality, we show that ...