DUC TAI NGUYEN

IDA Quantum Computing: GF(8) as the Natural Algebra of the Steane Code and Transversal Cliord Gates

We establish a rigorous correspondence between the IDA algebraic frame- work (Papers 3 and 5) and quantum error correction. The key result is that the Galois eld GF(8) = F2[x]/(x 3 + x + 1), identied in Paper 5 as the IDA alge- bra, is precisely the natural coecient algebra of th...