Complex Lines


Godsil, C. (2008). Complex Lines . Perimeter Institute. https://pirsa.org/08040071


Godsil, Chris. Complex Lines . Perimeter Institute, Apr. 28, 2008, https://pirsa.org/08040071


          @misc{ pirsa_08040071,
            doi = {10.48660/08040071},
            url = {https://pirsa.org/08040071},
            author = {Godsil, Chris},
            keywords = {Quantum Information},
            language = {en},
            title = {Complex Lines },
            publisher = {Perimeter Institute},
            year = {2008},
            month = {apr},
            note = {PIRSA:08040071 see, \url{https://pirsa.org}}

Chris Godsil University of Waterloo


Certain structures arising in Physics (mub\'s and sic-povm\'s) can be viewed as sets of lines in complex space that are as large as possible, given some simple constraints on the angles between distinct lines. The analogous problems in real space have long been of interest in Combinatorics, because of their relation to classical combinatorial structures. In the complex case there seems no reason for any combinatorial connection to exist. will discuss some of the history of the real problems, and describe some recent work that relates the complex problems to some very interesting classes of graphs.