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arXiv · 0810.3557

Quantum Self-Correcting Stabilizer Codes

Alastair Kay·Roger Colbeck
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Abstract

In this paper, we explicitly construct (Abelian) anyonic excitations of arbitrary stabilizer Hamiltonians which are local on a 2D lattice of qubits. This leads directly to the conclusion that, in the presence of local thermal noise, such systems cannot be used for the fault-tolerant storage of quantum information by self-correction i.e. they are ruled out as candidates for a `quantum hard drive'. We suggest that in 3D, the same construction leads to an argument that self-correction is impossible.

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Alastair Kay, Roger Colbeck. 2008-10-20. Quantum Self-Correcting Stabilizer Codes. https://arxiv.org/abs/0810.3557

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