Catalogue of Nice Error Bases
Nice unitary error bases have been introduced by Knill as a generalization of the Pauli basis.
Our aim is to give information about all nice error bases of small degree.
DEFINITION
EXAMPLE
GROUPS
REFERENCES
2-Dimensional Bases
Abelian Group G(4,2)
3-Dimensional Bases
Abelian Group G(9,2)
4-Dimensional Bases
Abelian Group G(16,2)
Abelian Group G(16,14)
Nonabelian Group G(16,3)
Nonabelian Group G(16,11)
5-Dimensional Bases
Abelian Group G(25,2)
6-Dimensional Bases
Abelian Group G(36,14)
Nonabelian Group G(36,11)
Nonabelian Group G(36,13)
7-Dimensional Bases
Abelian Group G(49,2)
8-Dimensional Bases (only nonabelian index groups)
Nonabelian Group G(64,3)
Nonabelian Group G(64,8)
Nonabelian Group G(64,10)
Nonabelian Group G(64,34)
Nonabelian Group G(64,35)
Nonabelian Group G(64,58)
Nonabelian Group G(64,60)
Nonabelian Group G(64,62)
Nonabelian Group G(64,67)
Nonabelian Group G(64,68)
Nonabelian Group G(64,69)
Nonabelian Group G(64,71)
Nonabelian Group G(64,72)
Nonabelian Group G(64,73)
Nonabelian Group G(64,74)
Nonabelian Group G(64,75)
Nonabelian Group G(64,77)
Nonabelian Group G(64,78)
Nonabelian Group G(64,82)
Nonabelian Group G(64,90)
Nonabelian Group G(64,91)
Nonabelian Group G(64,123)
Nonabelian Group G(64,128)
Nonabelian Group G(64,138)
Nonabelian Group G(64,162)
Nonabelian Group G(64,167)
Nonabelian Group G(64,174)
Nonabelian Group G(64,179)
Nonabelian Group G(64,193)
Nonabelian Group G(64,195)
Nonabelian Group G(64,202)
Nonabelian Group G(64,203)
Nonabelian Group G(64,207)
Nonabelian Group G(64,211)
Nonabelian Group G(64,216)
Nonabelian Group G(64,226)
Nonabelian Group G(64,236)
Nonabelian Group G(64,242)
Nonabelian Group G(64,261)
9-Dimensional Bases (only nonabelian index groups)
Nonabelian Group G(81,4)
Nonabelian Group G(81,9)
Nonabelian Group G(81,12)
Nonabelian Group G(81,12)
10-Dimensional Bases (only nonabelian index groups)
Nonabelian Group G(100,15)