Title :
Quantum error correction via codes over GF(4)
Author :
Calderbank, A. Robert ; Rains, Eric M. ; Shor, P.W. ; Sloane, Neil J A
Author_Institution :
AT&T Labs.-Res., Florham Park, NJ, USA
fDate :
7/1/1998 12:00:00 AM
Abstract :
The problem of finding quantum error correcting codes is transformed into the problem of finding additive codes over the field GF(4) which are self-orthogonal with respect to a certain trace inner product. Many new codes and new bounds are presented, as well as a table of upper and lower bounds on such codes of length up to 30 qubits
Keywords :
Galois fields; cyclic codes; dual codes; error correction codes; quantum theory; GF(4); Galois field; additive codes; error correcting codes; lower bounds; quantum error correction; self-orthogonal codes; trace inner product; upper bounds; Degradation; Error correction codes; Geometry; Helium; Linear code; Paramagnetic resonance; Protection; Purification; Quantum mechanics; Rain;
Journal_Title :
Information Theory, IEEE Transactions on
