❯❯ Library of spin anticoherent states
❯❯ Library of spin anticoherent states with degeneracy
Here below we give putative optimal spherical t-designs with degenerate points for N≤20 (we searched for the maximal order t attainable for a fixed number of points N and a fixed degeneracy d of one of the points). Note that for t=1 and d=N/2, such optimal spherical designs result from the superposition of d 2-points spherical 1-designs. The numerical approach followed is the same as that of Hardin and Sloane, and the data are presented as a list of cartesian coordinates for each point, similarly to Hardin and Sloane for spherical t-designs without degeneracy.
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Found by J. Martin.
des.3.4.1.2.txt contains a 3-dimensional 4-point spherical 1-design with a least one point 2-fold degenerated Found by J. Martin. des.3.5.1.2.txt contains a 3-dimensional 5-point spherical 1-design with a least one point 2-fold degenerated Found by J. Martin. des.3.6.1.3.txt contains a 3-dimensional 6-point spherical 1-design with a least one point 3-fold degenerated Found by J. Martin. des.3.7.1.3.txt contains a 3-dimensional 7-point spherical 1-design with a least one point 3-fold degenerated Found by J. Martin. des.3.8.1.4.txt contains a 3-dimensional 8-point spherical 1-design with a least one point 4-fold degenerated Found by J. Martin. des.3.8.2.2.txt contains a 3-dimensional 8-point spherical 2-design with a least one point 2-fold degenerated Found by J. Martin. des.3.9.1.4.txt contains a 3-dimensional 9-point spherical 1-design with a least one point 4-fold degenerated Found by J. Martin. des.3.9.2.2.txt contains a 3-dimensional 9-point spherical 2-design with a least one point 2-fold degenerated Found by J. Martin. des.3.10.1.5.txt contains a 3-dimensional 10-point spherical 1-design with a least one point 5-fold degenerated Found by J. Martin. des.3.11.1.5.txt contains a 3-dimensional 11-point spherical 1-design with a least one point 5-fold degenerated Found by J. Martin. des.3.12.1.6.txt contains a 3-dimensional 12-point spherical 1-design with a least one point 6-fold degenerated Found by J. Martin. des.3.12.2.3.txt contains a 3-dimensional 12-point spherical 2-design with a least one point 3-fold degenerated Found by J. Martin. des.3.13.1.6.txt contains a 3-dimensional 13-point spherical 1-design with a least one point 6-fold degenerated Found by J. Martin. des.3.13.3.2.txt contains a 3-dimensional 13-point spherical 3-design with a least one point 2-fold degenerated Found by J. Martin. des.3.14.1.7.txt contains a 3-dimensional 14-point spherical 1-design with a least one point 7-fold degenerated Found by J. Martin. des.3.14.3.2.txt contains a 3-dimensional 14-point spherical 3-design with a least one point 2-fold degenerated Found by J. Martin. des.3.15.1.7.txt contains a 3-dimensional 15-point spherical 1-design with a least one point 7-fold degenerated Found by J. Martin. des.3.15.3.2.txt contains a 3-dimensional 15-point spherical 3-design with a least one point 2-fold degenerated Found by J. Martin. des.3.16.1.8.txt contains a 3-dimensional 16-point spherical 1-design with a least one point 8-fold degenerated Found by J. Martin. des.3.17.1.8.txt contains a 3-dimensional 17-point spherical 1-design with a least one point 8-fold degenerated Found by J. Martin. des.3.17.2.4.txt contains a 3-dimensional 17-point spherical 2-design with a least one point 4-fold degenerated Found by J. Martin. des.3.17.3.2.txt contains a 3-dimensional 17-point spherical 3-design with a least one point 2-fold degenerated Found by J. Martin. des.3.18.1.9.txt contains a 3-dimensional 18-point spherical 1-design with a least one point 9-fold degenerated Found by J. Martin. des.3.18.2.4.txt contains a 3-dimensional 18-point spherical 2-design with a least one point 4-fold degenerated Found by J. Martin. des.3.18.3.3.txt contains a 3-dimensional 18-point spherical 3-design with a least one point 3-fold degenerated Found by J. Martin. des.3.19.1.9.txt contains a 3-dimensional 19-point spherical 1-design with a least one point 9-fold degenerated Found by J. Martin. des.3.19.2.4.txt contains a 3-dimensional 19-point spherical 2-design with a least one point 4-fold degenerated Found by J. Martin. des.3.19.3.3.txt contains a 3-dimensional 19-point spherical 3-design with a least one point 3-fold degenerated Found by J. Martin. des.3.19.4.2.txt contains a 3-dimensional 19-point spherical 4-design with a least one point 2-fold degenerated Found by J. Martin. des.3.20.1.10.txt contains a 3-dimensional 20-point spherical 1-design with a least one point 10-fold degenerated Found by J. Martin. des.3.20.2.5.txt contains a 3-dimensional 20-point spherical 2-design with a least one point 5-fold degenerated Found by J. Martin. des.3.20.3.3.txt contains a 3-dimensional 20-point spherical 3-design with a least one point 3-fold degenerated |