Multi-setting Bell inequality for qudits
Quantum Physics
2008-12-01 v1
Abstract
We propose a generalized Bell inequality for two three-dimensional systems with three settings in each local measurement. It is shown that this inequality is maximally violated if local measurements are configured to be mutually unbiased and a composite state is maximally entangled. This feature is similar to Clauser-Horne-Shimony-Holt inequality for two qubits but is in contrast with the two types of inequalities, Collins-Gisin-Linden-Massar-Popescu and Son-Lee-Kim, for high-dimensional systems. The generalization to aribitrary prime-dimensional systems is discussed.
Cite
@article{arxiv.0810.2838,
title = {Multi-setting Bell inequality for qudits},
author = {Se-Wan Ji and Jinhyoung Lee and James Lim and Koji Nagata and Hai-Woong Lee},
journal= {arXiv preprint arXiv:0810.2838},
year = {2008}
}
Comments
Accepted for publication in Phys. Rev. A