Abstract
We consider the quantum and local hidden variable (LHV) correlations obtained by measuring a pair of qubits by projections defined by randomly chosen axes separated by an angle . Local hidden variables predict binary colorings of the Bloch sphere with antipodal points oppositely colored. We prove Bell inequalities separating the LHV predictions from the singlet quantum correlations for . We raise and explore the hypothesis that, for a continuous range of , the maximum LHV anticorrelation is obtained by assigning to each qubit a coloring with one hemisphere black and the other white.
- Received 14 September 2014
DOI:https://doi.org/10.1103/PhysRevA.90.062124
©2014 American Physical Society