Nice Error Bases

Group G(64,211)

Generators of nice error basis 1:

-1 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 -1 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 1 0
0 0 0 0 0 0 0 1
0 -1 0 0 0 0 0 0
1 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 0 1 0 0
0 0 0 0 1 0 0 0
0 0 0 0 0 0 0 -1
0 0 0 0 0 0 1 0
0 0 -1 0 0 0 0 0
0 0 0 -E(4) 0 0 0 0
1 0 0 0 0 0 0 0
0 E(4) 0 0 0 0 0 0
0 0 0 0 0 0 0 E(4)
0 0 0 0 0 0 1 0
0 0 0 0 0 1 0 0
0 0 0 0 E(4) 0 0 0
0 0 0 0 0 0 0 -E(4)
0 0 0 0 0 0 E(4) 0
0 0 0 0 1 0 0 0
0 0 0 0 0 1 0 0
0 0 1 0 0 0 0 0
0 0 0 1 0 0 0 0
0 -E(4) 0 0 0 0 0 0
E(4) 0 0 0 0 0 0 0

Generators of nice error basis 2:

-1 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 1 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 1 0
0 0 0 0 0 0 0 -1
0 1 0 0 0 0 0 0
1 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 0 -1 0 0
0 0 0 0 1 0 0 0
0 0 0 0 0 0 0 1
0 0 0 0 0 0 1 0
0 0 0 -E(4) 0 0 0 0
0 0 1 0 0 0 0 0
0 1 0 0 0 0 0 0
-E(4) 0 0 0 0 0 0 0
0 0 0 0 0 0 -1 0
0 0 0 0 0 0 0 E(4)
0 0 0 0 1 0 0 0
0 0 0 0 0 -E(4) 0 0
0 0 0 0 0 0 E(4) 0
0 0 0 0 0 0 0 -E(4)
0 0 0 0 0 1 0 0
0 0 0 0 1 0 0 0
0 0 0 1 0 0 0 0
0 0 1 0 0 0 0 0
-E(4) 0 0 0 0 0 0 0
0 E(4) 0 0 0 0 0 0

Generators of nice error basis 3:

1 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 -1 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 -1 0
0 0 0 0 0 0 0 1
0 -1 0 0 0 0 0 0
1 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 0 -1 0 0
0 0 0 0 1 0 0 0
0 0 0 0 0 0 0 1
0 0 0 0 0 0 1 0
0 0 1 0 0 0 0 0
0 0 0 E(4) 0 0 0 0
1 0 0 0 0 0 0 0
0 E(4) 0 0 0 0 0 0
0 0 0 0 0 0 0 -E(4)
0 0 0 0 0 0 1 0
0 0 0 0 0 1 0 0
0 0 0 0 -E(4) 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 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

Generators of nice error basis 4:

1 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 1 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 -1 0
0 0 0 0 0 0 0 1
0 1 0 0 0 0 0 0
1 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 0 -1 0 0
0 0 0 0 1 0 0 0
0 0 0 0 0 0 0 1
0 0 0 0 0 0 1 0
0 0 1 0 0 0 0 0
0 0 0 -E(4) 0 0 0 0
1 0 0 0 0 0 0 0
0 -E(4) 0 0 0 0 0 0
0 0 0 0 0 0 0 E(4)
0 0 0 0 0 0 1 0
0 0 0 0 0 1 0 0
0 0 0 0 E(4) 0 0 0
0 0 0 0 0 0 1 0
0 0 0 0 0 0 0 -1
0 0 0 0 0 1 0 0
0 0 0 0 1 0 0 0
0 0 0 1 0 0 0 0
0 0 1 0 0 0 0 0
1 0 0 0 0 0 0 0
0 -1 0 0 0 0 0 0

Generators of nice error basis 5:

0 E(4) 0 0 0 0 0 0
-E(4) 0 0 0 0 0 0 0
0 0 0 -E(4) 0 0 0 0
0 0 E(4) 0 0 0 0 0
0 0 0 0 0 E(4) 0 0
0 0 0 0 -E(4) 0 0 0
0 0 0 0 0 0 0 -E(4)
0 0 0 0 0 0 E(4) 0
0 0 -E(4) 0 0 0 0 0
0 0 0 -1 0 0 0 0
1 0 0 0 0 0 0 0
0 -E(4) 0 0 0 0 0 0
0 0 0 0 0 0 -E(4) 0
0 0 0 0 0 0 0 -1
0 0 0 0 1 0 0 0
0 0 0 0 0 -E(4) 0 0
0 0 0 E(8)^3 0 0 0 0
0 0 E(8) 0 0 0 0 0
0 E(8) 0 0 0 0 0 0
E(8)^3 0 0 0 0 0 0 0
0 0 0 0 0 0 0 -E(8)^3
0 0 0 0 0 0 -E(8) 0
0 0 0 0 0 -E(8) 0 0
0 0 0 0 -E(8)^3 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 1 0
0 0 0 0 0 0 0 -1
1 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 -1 0 0 0 0

Generators of nice error basis 6:

0 1 0 0 0 0 0 0
1 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 0 1 0 0
0 0 0 0 1 0 0 0
0 0 0 0 0 0 0 -1
0 0 0 0 0 0 -1 0
0 0 -E(4) 0 0 0 0 0
0 0 0 -1 0 0 0 0
1 0 0 0 0 0 0 0
0 -E(4) 0 0 0 0 0 0
0 0 0 0 0 0 -E(4) 0
0 0 0 0 0 0 0 -1
0 0 0 0 1 0 0 0
0 0 0 0 0 -E(4) 0 0
0 1 0 0 0 0 0 0
1 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 0 -1 0 0
0 0 0 0 -1 0 0 0
0 0 0 0 0 0 0 1
0 0 0 0 0 0 -1 0
0 0 0 0 1 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 -1
1 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 -1 0 0 0 0
The Catalogue of Nice Error Bases is a joint project of Andreas Klappenecker and Martin Rötteler.
[Catalogue]