| PIRSA:08020035 | | Title: MUBs and Hadamards ( Windows Media , Macromedia Flash , MP3 Audio , PDF) | | Speaker(s): Asa Ericsson | | Abstract: 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.
| | Date: 12/02/2008 - 4:00 pm | | Series: Quantum Foundations | | Location: 405 | | URL: http://pirsa.org/08020035/ |
| |
|
