Please use this identifier to cite or link to this item: https://doi.org/10.1063/1.3374022
Title: Symmetric informationally complete positive-operator-valued measures: A new computer study
Authors: Scott, A.J.
Grassl, M. 
Issue Date: Apr-2010
Source: Scott, A.J., Grassl, M. (2010-04). Symmetric informationally complete positive-operator-valued measures: A new computer study. Journal of Mathematical Physics 51 (4) : -. ScholarBank@NUS Repository. https://doi.org/10.1063/1.3374022
Abstract: We report on a new computer study of 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. © 2010 American Institute of Physics.
Source Title: Journal of Mathematical Physics
URI: http://scholarbank.nus.edu.sg/handle/10635/112525
ISSN: 00222488
DOI: 10.1063/1.3374022
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