Three-particle Bell-like inequalities under Lorentz transformations

Lorentz Transformations

In these notes we study Lorentz transformations and focus on the group of proper, orthochronous Lorentz transformations, donated by L+. (These Lorentz transformations have determinant one and preserve the direction of time.) The 2×2 matrices with determinant one, denoted SL(2, C), play a key role, as there is a map from SL(2,C) onto L+, that is 2-to-1 and a homomorphism. In this correspondence,...

Strong violations of Bell-type inequalities for Werner-like states

We investigate the violation of Bell-type inequalities for two-qubit Werner-like states parametrized by the positive parameter 0 p 1. We use an unbalanced homodyne detection scheme to obtain the quantum mechanical probabilities. A violation of the Bell-Wigner and Janssens inequalities is obtained for a large range of the parameter p. The range given by these inequalities is greater than the one...

Observer-Dependence of Chaos Under Lorentz and Rindler Transformations

The behavior of Lyapunov exponents λ and dynamical entropies h, whose positivity characterizes chaotic motion, under Lorentz and Rindler transformations is studied. Under Lorentz transformations, λ and h are changed, but their positivity is preserved for chaotic systems. Under Rindler transformations, λ and h are changed in such a way that systems, which are chaotic for an accelerated Rindler o...

A note on Lorentz-like transformations and superluminal motion

Bell Inequalities Classifying Bi-separable Three-qubit States

Bao-Zhi Sun and Shao-Ming Fei a Department of Mathematics, QuFu Normal University, Shandong 273165 b Department of Mathematics, Capital Normal University, Beijing 100037 c Institut für Angewandte Mathematik, Universität Bonn, D-53115 Abstract We present a set of Bell inequalities that gives rise to a finer classification of the entanglement for tripartite systems. These inequalities distinguish...