Abstract of a paper by A. J. Scott and M. Grassl
This is an announcement for the paper "SIC-POVMs: A new computer study" by A. J. Scott and M. Grassl. Abstract: We report on a new computer study into the existence of d^2 equiangular lines in d complex dimensions. Such maximal complex projective codes are conjectured to exist in all finite dimensions and are the underlying mathematical objects defining symmetric informationally complete measurements in quantum theory. We provide numerical solutions in all dimensions d <= 67 and, moreover, a putatively complete list of Weyl-Heisenberg covariant solutions for d <= 50. A symmetry analysis of this list leads to new algebraic solutions in dimensions d = 24, 35 and 48, which are given together with algebraic solutions for d = 4,..., 15 and 19. Archive classification: quant-ph math.CO math.FA Remarks: 20 pages + 189 pages of raw data (also accessible in the source in The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/0910.5784 or http://arXiv.org/abs/0910.5784 or by email in unzipped form by transmitting an empty message with subject line uget 0910.5784 or in gzipped form by using subject line get 0910.5784 to: math@arXiv.org.
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alspach@fourier.math.okstate.edu