- Home »
- MUBs and Hadamards

Playing this video requires the latest flash player from Adobe.

Download link (right click and 'save-as') for playing in VLC or other compatible player.

Speaker(s):

Scientific Areas:

Collection/Series:

PIRSA Number:

08020035

Mutually unbiased bases (MUBs) have attracted a lot of attention the last years. These bases are interesting for their potential use within quantum information processing and when trying to understand quantum state space. A central question is if there exists complete sets of N+1 MUBs in N-dimensional Hilbert space, as these are desired for quantum state tomography. Despite a lot of effort they are only known in prime power dimensions.

I will describe in geometrical terms how a complete set of MUBs would sit in the set of density matrices and present a distance between basesa measure of unbiasedness. Then I will explain the relation between MUBs and Hadamard matrices, and report on a search for MUB-sets in dimension N=6. In this case no sets of more than three MUBs are found, but there are several inequivalent triplets.

©2012 Perimeter Institute for Theoretical Physics