MUBs and SICs


(2008). MUBs and SICs. Perimeter Institute. https://pirsa.org/08100073


MUBs and SICs. Perimeter Institute, Oct. 28, 2008, https://pirsa.org/08100073


          @misc{ pirsa_08100073,
            doi = {},
            url = {https://pirsa.org/08100073},
            author = {},
            keywords = {Quantum Information, Quantum Foundations},
            language = {en},
            title = {MUBs and SICs},
            publisher = {Perimeter Institute},
            year = {2008},
            month = {oct},
            note = {PIRSA:08100073 see, \url{https://pirsa.org}}


Abstract: Complete sets of mutually unbiased bases are clearly \'cousins\' of SICs. One difference is that there is a \'theory\' for MUBs, in the sense that they are straightforward to construct in some cases, and probably impossible to construct in others. Moreover complete sets of MUBs do appear naturally in the algebraic geometry of projective space (in particular they come from elliptic curves with certain symmetries). I will describe some unsuccessful attempts I have made to go from MUBs to SICs.