Karl Svozil† Institut für Theoretische Physik, University of Technology Vienna, Wiedner Hauptstraße 8-10/136, A-1040 Vienna, Austria Abstract Bell-type inequalities and violations thereof reveal the fundamental differences between standard probability theory and its quantum counterpart. In the course of previous investigations ultimate bounds on quantum mechanical violations have been found. Fo...

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.

We study the efficiency of two-qubit mixed entangled states as resources for quantum teleportation. We first consider two maximally entangled mixed states, viz., the Werner state[1], and a class of states introduced by Munro et al. [2]. We show that the Werner state when used as teleportation channel, gives rise to better average teleportation fidelity compared to the latter class of states for...

In [PRL, 113, 050401 (2014)] the authors have shown that instead of L$\ddot{u}$der rule, if degeneracy breaking von Neumann projection rule is adopted for state reduction, quantum value three-time Leggett-Garg inequality can exceed it's L$\ddot{u}$ders bound. Such violation bound may even approach algebraic maximum in asymptotic limit system size. They also claim Clauser-Horne-Shimony-Holt (CHS...

We study the CHSH inequality for a system of two spin j particles, generic j. The operator is constructed using set unitary, Hermitian operators {A1,A2,B1,B2}. expectation value analyzed singlet state |ψs〉. Being |ψs〉 an entangled state, violation compatible with Tsirelson's bound found. Although construction employed here differs from that [1], full agreement recovered.

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.

Incompatibility and nonlocality are not only of foundational interest but also act as important resources for quantum information theory. In the Clauser-Horne-Shimony-Holt (CHSH) scenario, incompatibility a pair observables is known to be equivalent Bell nonlocality. Here, we investigate these notions in context qubit channels. The Bell-CHSH inequality has greater perspective--compared any genu...

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...