A New Class of Designs Which Protect against Quantum Jumps
Designs, Codes and Cryptography
A Concise Guide to Complex Hadamard Matrices
Open Systems & Information Dynamics
The limitations of nice mutually unbiased bases
Journal of Algebraic Combinatorics: An International Journal
Classic and Quantum Error Correcting Codes
ICMCTA '08 Proceedings of the 2nd international Castle meeting on Coding Theory and Applications
Abstract error groups via Jones unitary braid group representations at q = i
Quantum Information Processing
Unitary error bases: constructions, equivalence, and applications
AAECC'03 Proceedings of the 15th international conference on Applied algebra, algebraic algorithms and error-correcting codes
On the structure of nonstabilizer clifford codes
Quantum Information & Computation
| Hi-index | 754.84 |
Nice error bases have been introduced by Knill (1996) as a generalization of the Pauli basis. These bases are shown to be projective representations of finite groups. We classify all nice error bases of small degree, and all nice error bases with Abelian index groups. We show that, in general, an index group of a nice error basis is necessarily solvable.