Abstract
We present relaxed criteria for quantum error correction that are useful when the specific dominant quantum noise process is known. As an example, we provide a four-bit code that corrects for a single amplitude damping error. This code violates the usual Hamming bound calculated for a Pauli description of the error process and has no simple explanation in terms of the usual Pauli basis GF(4) codes.
- Received 2 April 1997
DOI:https://doi.org/10.1103/PhysRevA.56.2567
©1997 American Physical Society
