On SIC-POVMs and MUBs in Dimension 6

Details On SIC-POVMs and MUBs in Dimension 6 On SIC-POVMs and MUBs in Dimension 6

2004-06-23

arxiv.org/abs/quant-ph/0406175v2

Physics

Quantum Physics

Results on maximal sets of MUBs in dimension 4 together with an appendix with the 48 vectors in dimension 6 are added. Omissio

Scientific paper

We provide a partial solution to the problem of constructing mutually unbiased bases (MUBs) and symmetric informationally complete POVMs (SIC-POVMs) in non-prime-power dimensions. An algebraic description of a SIC-POVM in dimension six is given. Furthermore it is shown that several sets of three mutually unbiased bases in dimension six are maximal, i.e., cannot be extended.

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