Please use this identifier to cite or link to this item:
|Title:||Symmetric informationally complete positive-operator-valued measures: A new computer study|
|Citation:||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|
|Appears in Collections:||Staff Publications|
Show full item record
Files in This Item:
There are no files associated with this item.
checked on Nov 13, 2018
WEB OF SCIENCETM
checked on Nov 5, 2018
checked on Oct 19, 2018
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.