Entropic uncertainty relations—a survey

Uncertainty relations play a central role in quantum mechanics. Entropic uncertainty relations in particular have gained significant importance within quantum information, providing the foundation for the security of many quantum cryptographic protocols. Yet, little is known about entropic uncertainty relations with more than two measurement settings. In the present survey, we review known results and open questions. 4 Authors to whom any correspondence should be addressed. New Journal of Physics 12 (2010) 025009 1367-2630/10/025009+22$30.00 © IOP Publishing Ltd and Deutsche Physikalische Gesellschaft