Quantum Error-Correcting Codes
(Note: These pages are still under construction. Comments are welcome.)
Background
(to be written)
Tables
- bounds on the minimum distance for
given length and dimension (extended version of Table III of the paper
[CRSS98])
- encoding circuits
(constructive version of Table III), last update: 05.02.2003
- bounds and circuits for cyclic QECC,
last update: 06.02.2003
- bounds and circuits for CSS codes
derived from weakly-self dual binary codes
- Note:
- Note that due to an error in my program to generate the quantum circuits,
the seed generators and the corresponding part of the circuits for codes with k>1 had been wrong. Meanwhile, the bug is fixed. (29.01.03).
Code Families
- Quantum Hamming codes
- Quantum Reed-Muller codes
- Quantum BCH codes
- Quantum Reed-Solomon codes
Copyright ©
Markus Grassl
(grassl@ira.uka.de)
06.02.2003