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. © 1997 The American Physical Society.
CITATION STYLE
Leung, D. W., Nielsen, M. A., Chuang, I. L., & Yamamoto, Y. (1997). Approximate quantum error correction can lead to better codes. Physical Review A - Atomic, Molecular, and Optical Physics, 56(4), 2567–2573. https://doi.org/10.1103/PhysRevA.56.2567
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