@inproceedings{klappenecker2005mutually,
author = {Klappenecker, Andreas and Roetteler, Martin},
title = {Mutually Unbiased Bases are Complex Projective 2-Designs},
booktitle = {Proceedings 2005 IEEE International Symposium on Information Theory (ISIT 2005), Adelaide, Australia},
year = {2005},
month = {February},
abstract = {Mutually unbiased bases (MUBs) are a primitive used in quantum information processing to capture the principle of complementarity. While constructions of maximal sets of d+1 such bases are known for systems of prime power dimension d, it is unknown whether this bound can be achieved for any non-prime power dimension. In this paper we demonstrate that maximal sets of MUBs come with a rich combinatorial structure by showing that they actually are the same objects as the complex projective 2-designs with angle set [0,1/d]. We also give a new and simple proof that symmetric informationally complete POVMs are complex projective 2-designs with angle set [1/(d+1)].},
url = {http://approjects.co.za/?big=en-us/research/publication/mutually-unbiased-bases-complex-projective-2-designs/},
pages = {1740-1744},
edition = {Proceedings 2005 IEEE International Symposium on Information Theory (ISIT 2005), Adelaide, Australia},
}