9704002v1

related topics
{error, code, errors}
{states, state, optimal}
{qubit, qubits, gate}
{vol, operators, histories}
{equation, function, exp}
{state, states, coherent}
{state, phys, rev}
{time, decoherence, evolution}
{cos, sin, state}
{information, entropy, channel}
{let, theorem, proof}
{operator, operators, space}

Approximate quantum error correction can lead to better codes

D. W. Leung, M. A. Nielsen, I. L. Chuang, Y. Yamamoto

abstract: 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.

oai_identifier:
oai:arXiv.org:quant-ph/9704002
categories:
quant-ph
comments:
7 pages, 2 figures, submitted to Phys. Rev. A
doi:
10.1103/PhysRevA.56.2567
arxiv_id:
quant-ph/9704002
journal_ref:
Phys.Rev.A56:2567-2573,1997
created:
1997-04-02

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