Nice Error Bases

Group G(81,12)

Generators of nice error basis 1:

1 0 0 0 0 0 0 0 0
0 E(3)^2 0 0 0 0 0 0 0
0 0 1 0 0 0 0 0 0
0 0 0 E(3)^2 0 0 0 0 0
0 0 0 0 E(3)^2 0 0 0 0
0 0 0 0 0 E(3) 0 0 0
0 0 0 0 0 0 E(3) 0 0
0 0 0 0 0 0 0 E(3) 0
0 0 0 0 0 0 0 0 1
0 0 1 0 0 0 0 0 0
1 0 0 0 0 0 0 0 0
0 1 0 0 0 0 0 0 0
0 0 0 0 0 1 0 0 0
0 0 0 1 0 0 0 0 0
0 0 0 0 1 0 0 0 0
0 0 0 0 0 0 0 0 1
0 0 0 0 0 0 1 0 0
0 0 0 0 0 0 0 1 0
0 0 0 0 0 0 0 E(3) 0
0 0 0 0 0 0 0 0 E(3)^2
0 0 0 0 0 0 1 0 0
0 0 1 0 0 0 0 0 0
E(3) 0 0 0 0 0 0 0 0
0 E(3)^2 0 0 0 0 0 0 0
0 0 0 1 0 0 0 0 0
0 0 0 0 E(3) 0 0 0 0
0 0 0 0 0 E(3)^2 0 0 0

Generators of nice error basis 2:

1 0 0 0 0 0 0 0 0
0 E(3) 0 0 0 0 0 0 0
0 0 1 0 0 0 0 0 0
0 0 0 E(3)^2 0 0 0 0 0
0 0 0 0 E(3)^2 0 0 0 0
0 0 0 0 0 1 0 0 0
0 0 0 0 0 0 E(3) 0 0
0 0 0 0 0 0 0 E(3)^2 0
0 0 0 0 0 0 0 0 E(3)
0 0 1 0 0 0 0 0 0
1 0 0 0 0 0 0 0 0
0 1 0 0 0 0 0 0 0
0 0 0 0 0 1 0 0 0
0 0 0 1 0 0 0 0 0
0 0 0 0 1 0 0 0 0
0 0 0 0 0 0 0 0 1
0 0 0 0 0 0 1 0 0
0 0 0 0 0 0 0 1 0
0 0 0 0 0 0 1 0 0
0 0 0 0 0 0 0 E(3) 0
0 0 0 0 0 0 0 0 E(3)^2
0 0 1 0 0 0 0 0 0
E(3) 0 0 0 0 0 0 0 0
0 E(3)^2 0 0 0 0 0 0 0
0 0 0 0 E(3)^2 0 0 0 0
0 0 0 0 0 1 0 0 0
0 0 0 E(3) 0 0 0 0 0

Generators of nice error basis 3:

1 0 0 0 0 0 0 0 0
0 E(3)^2 0 0 0 0 0 0 0
0 0 1 0 0 0 0 0 0
0 0 0 E(3) 0 0 0 0 0
0 0 0 0 E(3) 0 0 0 0
0 0 0 0 0 1 0 0 0
0 0 0 0 0 0 E(3)^2 0 0
0 0 0 0 0 0 0 E(3)^2 0
0 0 0 0 0 0 0 0 E(3)
0 0 1 0 0 0 0 0 0
1 0 0 0 0 0 0 0 0
0 1 0 0 0 0 0 0 0
0 0 0 0 0 1 0 0 0
0 0 0 1 0 0 0 0 0
0 0 0 0 1 0 0 0 0
0 0 0 0 0 0 0 0 1
0 0 0 0 0 0 1 0 0
0 0 0 0 0 0 0 1 0
0 0 0 0 0 0 0 E(3) 0
0 0 0 0 0 0 0 0 E(3)^2
0 0 0 0 0 0 1 0 0
0 0 1 0 0 0 0 0 0
E(3) 0 0 0 0 0 0 0 0
0 E(3)^2 0 0 0 0 0 0 0
0 0 0 1 0 0 0 0 0
0 0 0 0 E(3) 0 0 0 0
0 0 0 0 0 E(3)^2 0 0 0

Generators of nice error basis 4:

1 0 0 0 0 0 0 0 0
0 E(3) 0 0 0 0 0 0 0
0 0 1 0 0 0 0 0 0
0 0 0 E(3) 0 0 0 0 0
0 0 0 0 E(3)^2 0 0 0 0
0 0 0 0 0 E(3) 0 0 0
0 0 0 0 0 0 E(3)^2 0 0
0 0 0 0 0 0 0 E(3)^2 0
0 0 0 0 0 0 0 0 1
0 0 1 0 0 0 0 0 0
1 0 0 0 0 0 0 0 0
0 1 0 0 0 0 0 0 0
0 0 0 0 0 1 0 0 0
0 0 0 1 0 0 0 0 0
0 0 0 0 1 0 0 0 0
0 0 0 0 0 0 0 0 1
0 0 0 0 0 0 1 0 0
0 0 0 0 0 0 0 1 0
0 0 0 0 0 0 0 E(3) 0
0 0 0 0 0 0 0 0 E(3)^2
0 0 0 0 0 0 1 0 0
1 0 0 0 0 0 0 0 0
0 E(3) 0 0 0 0 0 0 0
0 0 E(3)^2 0 0 0 0 0 0
0 0 0 0 0 E(3) 0 0 0
0 0 0 E(3)^2 0 0 0 0 0
0 0 0 0 1 0 0 0 0

Generators of nice error basis 5:

1 0 0 0 0 0 0 0 0
0 E(3) 0 0 0 0 0 0 0
0
0 1 0 0 0 0 0 0
0 0 0 E(3)^2 0 0 0 0 0
0 0 0 0 E(3)^2 0 0 0 0
0 0 0 0 0 1 0 0 0
0 0 0 0 0 0 E(3) 0 0
0 0 0 0 0 0 0 E(3)^2 0
0 0 0 0 0 0 0 0 E(3)
0 0 1 0 0 0 0 0 0
1 0 0 0 0 0 0 0 0
0 1 0 0 0 0 0 0 0
0 0 0 0 0 1 0 0 0
0 0 0 1 0 0 0 0 0
0 0 0 0 1 0 0 0 0
0 0 0 0 0 0 0 0 1
0 0 0 0 0 0 1 0 0
0 0 0 0 0 0 0 1 0
0 0 0 0 0 0 1 0 0
0 0 0 0 0 0 0 E(3)^2 0
0 0 0 0 0 0 0 0 E(3)
0 0 1 0 0 0 0 0 0
E(3)^2 0 0 0 0 0 0 0 0
0 E(3) 0 0 0 0 0 0 0
0 0 0 0 E(3) 0 0 0 0
0 0 0 0 0 1 0 0 0
0 0 0 E(3)^2 0 0 0 0 0

Generators of nice error basis 6:

1 0 0 0 0 0 0 0 0
0 E(3) 0 0 0 0 0 0 0
0 0 1 0 0 0 0 0 0
0 0 0 E(3) 0 0 0 0 0
0 0 0 0 E(3)^2 0 0 0 0
0 0 0 0 0 E(3) 0 0 0
0 0 0 0 0 0 E(3)^2 0 0
0 0 0 0 0 0 0 E(3)^2 0
0 0 0 0 0 0 0 0 1
0 0 1 0 0 0 0 0 0
1 0 0 0 0 0 0 0 0
0 1 0 0 0 0 0 0 0
0 0 0 0 0 1 0 0 0
0 0 0 1 0 0 0 0 0
0 0 0 0 1 0 0 0 0
0 0 0 0 0 0 0 0 1
0 0 0 0 0 0 1 0 0
0 0 0 0 0 0 0 1 0
0 0 0 0 0 0 0 E(3)^2 0
0 0 0 0 0 0 0 0 E(3)
0 0 0 0 0 0 1 0 0
1 0 0 0 0 0 0 0 0
0 E(3)^2 0 0 0 0 0 0 0
0 0 E(3) 0 0 0 0 0 0
0 0 0 0 0 E(3)^2 0 0 0
0 0 0 E(3) 0 0 0 0 0
0 0 0 0 1 0 0 0 0

Generators of nice error basis 7:

1 0 0 0 0 0 0 0 0
0 E(3) 0 0 0 0 0 0 0
0 0 1 0 0 0 0 0 0
0 0 0 E(3)^2 0 0 0 0 0
0 0 0 0 E(3)^2 0 0 0 0
0 0 0 0 0 1 0 0 0
0 0 0 0 0 0 E(3) 0 0
0 0 0 0 0 0 0 E(3)^2 0
0 0 0 0 0 0 0 0 E(3)
0 0 1 0 0 0 0 0 0
1 0 0 0 0 0 0 0 0
0 1 0 0 0 0 0 0 0
0 0 0 0 0 1 0 0 0
0 0 0 1 0 0 0 0 0
0 0 0 0 1 0 0 0 0
0 0 0 0 0 0 0 0 1
0 0 0 0 0 0 1 0 0
0 0 0 0 0 0 0 1 0
0 0 0 0 0 0 1 0 0
0 0 0 0 0 0 0 1 0
0 0 0 0 0 0 0 0 1
0 0 1 0 0 0 0 0 0
1 0 0 0 0 0 0 0 0
0 1 0 0 0 0 0 0 0
0 0 0 0 1 0 0 0 0
0 0 0 0 0 1 0 0 0
0 0 0 1 0 0 0 0 0

Generators of nice error basis 8:

1 0 0 0 0 0 0 0 0
0 E(3) 0 0 0 0 0 0 0
0 0 1 0 0 0 0 0 0
0 0 0 E(3) 0 0 0 0 0
0 0 0 0 E(3)^2 0 0 0 0
0 0 0 0 0 E(3) 0 0 0
0 0 0 0 0 0 E(3)^2 0 0
0 0 0 0 0 0 0 E(3)^2 0
0 0 0 0 0 0 0 0 1
0 0 1 0 0 0 0 0 0
1 0 0 0 0 0 0 0 0
0 1 0 0 0 0 0 0 0
0 0 0 0 0 1 0 0 0
0 0 0 1 0 0 0 0 0
0 0 0 0 1 0 0 0 0
0 0 0 0 0 0 0 0 1
0 0 0 0 0 0 1 0 0
0 0 0 0 0 0 0 1 0
0 0 0 0 0 0 0 1 0
0 0 0 0 0 0 0 0 1
0 0 0 0 0 0 1 0 0
1 0 0 0 0 0 0 0 0
0 1 0 0 0 0 0 0 0
0 0 1 0 0 0 0 0 0
0 0 0 0 0 1 0 0 0
0 0 0 1 0 0 0 0 0
0 0 0 0 1 0 0 0 0

Generators of nice error basis 9:

0 0 1 0 0 0 0 0 0
E(3) 0 0 0 0 0 0 0 0
0 E(3)^2 0 0 0 0 0 0 0
0 0 0 0 0 1 0 0 0
0 0 0 E(3) 0 0 0 0 0
0 0 0 0 E(3)^2 0 0 0 0
0 0 0 0 0 0 0 0 1
0 0 0 0 0 0 E(3) 0 0
0 0 0 0 0 0 0 E(3)^2 0
0 -E(9)^4-E(9)^7 0 0 0 0 0 0 0
0 0 E(9)^4 0 0 0 0 0 0
E(9)^4 0 0 0 0 0 0 0 0
0 0 0 0 E(9)^4 0 0 0 0
0 0 0 0 0 E(9)^7 0 0 0
0 0 0 E(9)^7 0 0 0 0 0
0 0 0 0 0 0 0 E(9)^7 0
0 0 0 0 0 0 0 0 -E(9)^4-E(9)^7
0 0 0 0 0 0 -E(9)^4-E(9)^7 0 0
0 0 0 0 0 0 1 0 0
0 0 0 0 0 0 0 E(3) 0
0 0 0 0 0 0 0 0 E(3)^2
1 0 0 0 0 0 0 0 0
0 E(3) 0 0 0 0 0 0 0
0 0 E(3)^2 0 0 0 0 0 0
0 0 0 1 0 0 0 0 0
0 0 0 0 E(3) 0 0 0 0
0 0 0 0 0 E(3)^2 0 0 0

Generators of nice error basis 10:

0 0 1 0 0 0 0 0 0
E(3) 0 0 0 0 0 0 0 0
0 E(3)^2 0 0 0 0 0 0 0
0 0 0 0 0 1 0 0 0
0 0 0 E(3) 0 0 0 0 0
0 0 0 0 E(3)^2 0 0 0 0
0 0 0 0 0 0 0 0 1
0 0 0 0 0 0 E(3) 0 0
0 0 0 0 0 0 0 E(3)^2 0
0 -E(9)^4-E(9)^7 0 0 0 0 0 0 0
0 0 E(9)^4 0 0 0 0 0 0
E(9)^4 0 0 0 0 0 0 0 0
0 0 0 0 E(9)^7 0 0 0 0
0 0 0 0 0 -E(9)^4-E(9)^7 0 0 0
0 0 0 -E(9)^4-E(9)^7 0 0 0 0 0
0 0 0 0 0 0 0 E(9)^4 0
0 0 0 0 0 0 0 0 E(9)^7
0 0 0 0 0 0 E(9)^7 0 0
0 0 0 0 0 0 1 0 0
0 0 0 0 0 0 0 E(3) 0
0 0 0 0 0 0 0 0 E(3)^2
1 0 0 0 0 0 0 0 0
0 E(3) 0 0 0 0 0 0 0
0 0 E(3)^2 0 0 0 0 0 0
0 0 0 1 0 0 0 0 0
0 0 0 0 E(3) 0 0 0 0
0 0 0 0 0 E(3)^2 0 0 0

Generators of nice error basis 11:

0 0 1 0 0 0 0 0 0
E(3) 0 0 0 0 0 0 0 0
0 E(3)^2 0 0 0 0 0 0 0
0 0 0 0 0 1 0 0 0
0 0 0 E(3) 0 0 0 0 0
0 0 0 0 E(3)^2 0 0 0 0
0 0 0 0 0 0 0 0 1
0 0 0 0 0 0 E(3) 0 0
0 0 0 0 0 0 0 E(3)^2 0
1 0 0 0 0 0 0 0 0
0 E(3)^2 0 0 0 0 0 0 0
0 0 1 0 0 0 0 0 0
0 0 0 E(3)^2 0 0 0 0 0
0 0 0 0 E(3) 0 0 0 0
0 0 0 0 0 E(3)^2 0 0 0
0 0 0 0 0 0 E(3) 0 0
0 0 0 0 0 0 0 1 0
0 0 0 0 0 0 0 0 E(3)
0 0 0 0 0 0 1 0 0
0 0 0 0 0 0 0 E(3) 0
0 0 0 0 0 0 0 0 E(3)^2
1 0 0 0 0 0 0 0 0
0 E(3) 0 0 0 0 0 0 0
0 0 E(3)^2 0 0 0 0 0 0
0 0 0 1 0 0 0 0 0
0 0 0 0 E(3) 0 0 0 0
0 0 0 0 0 E(3)^2 0 0 0

Generators of nice error basis 12:

0 0 1 0 0 0 0 0 0
E(3) 0 0 0 0 0 0 0 0
0 E(3)^2 0 0 0 0 0 0 0
0 0 0 0 0 1 0 0 0
0 0 0 E(3) 0 0 0 0 0
0 0 0 0 E(3)^2 0 0 0 0
0 0 0 0 0 0 0 0 1
0 0 0 0 0 0 E(3) 0 0
0 0 0 0 0 0 0 E(3)^2 0
1 0 0 0 0 0 0 0 0
0 E(3)^2 0 0 0 0 0 0 0
0 0 1 0 0 0 0 0 0
0 0 0 E(3) 0 0 0 0 0
0 0 0 0 1 0 0 0 0
0 0 0 0 0 E(3) 0 0 0
0 0 0 0 0 0 E(3)^2 0 0
0 0 0 0 0 0 0 E(3) 0
0 0 0 0 0 0 0 0 E(3)^2
0 0 0 0 0 0 1 0 0
0 0 0 0 0 0 0 E(3) 0
0 0 0 0 0 0 0 0 E(3)^2
1 0 0 0 0 0 0 0 0
0 E(3) 0 0 0 0 0 0 0
0 0 E(3)^2 0 0 0 0 0 0
0 0 0 1 0 0 0 0 0
0 0 0 0 E(3) 0 0 0 0
0 0 0 0 0 E(3)^2 0 0 0
The Catalogue of Nice Error Bases is a joint project of Andreas Klappenecker and Martin Rötteler.
[Catalogue]