Maximal violation of the Collins-Gisin-Linden-Massar-Popescu inequality for infinite dimensional states.

We present a much simplified version of the Collins-Gisin-Linden-Massar-Popescu inequality for the 2x2xd Bell scenario. Numerical maximization of the violation of this inequality over all states and measurements suggests that the optimal state is far from maximally entangled, while the best measurem...

Полное описание

Библиографические подробности
Главные авторы: Zohren, S, Gill, R
Формат: Journal article
Язык:English
Опубликовано: 2008
Описание
Итог:We present a much simplified version of the Collins-Gisin-Linden-Massar-Popescu inequality for the 2x2xd Bell scenario. Numerical maximization of the violation of this inequality over all states and measurements suggests that the optimal state is far from maximally entangled, while the best measurements are the same as conjectured best measurements for the maximally entangled state. For very large values of d the inequality seems to reach its minimal value given by the probability constraints. This gives numerical evidence for a tight quantum Bell inequality (or generalized Csirelson inequality) for the 2x2xinfinity scenario.