Approximate quantum error correction can lead to better codes

Details Approximate quantum error correction can lead to better codes Approximate quantum error correction can lead to better codes

1997-04-02

arxiv.org/abs/quant-ph/9704002v1

Phys.Rev.A56:2567-2573,1997

Physics

Quantum Physics

7 pages, 2 figures, submitted to Phys. Rev. A

Scientific paper

10.1103/PhysRevA.56.2567

We present relaxed criteria for quantum error correction which are useful when the specific dominant noise process is known. These criteria have no classical analogue. As an example, we provide a four-bit code which corrects for a single amplitude damping error. This code violates the usual Hamming bound calculated for a Pauli description of the error process, and does not fit into the GF(4) classification.

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