We discuss quantitatively the complementarity of information transmitted by a quantum system prepared in a basis state in one out of several different mutually unbiased bases (MUBs). We obtain upper bounds on the information available to a receiver who has no knowledge of which MUB was chosen by the sender. These upper bounds imply a complementarity of information encoded via different MUBs and ultimately ensure the security in quantum key distribution protocols.
@article{arxiv.0811.2312,
title = {Complementarity of information sent via different bases},
author = {Shengjun Wu and Sixia Yu and Klaus Mølmer},
journal= {arXiv preprint arXiv:0811.2312},
year = {2009}
}