Quantum Self-Correcting Stabilizer Codes

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dc.creatorKay, Alastair
dc.creatorColbeck, Roger
dc.date2008-10-20
dc.date.accessioned2026-07-07T10:11:43Z
dc.date.available2026-07-07T10:11:43Z
dc.descriptionIn 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.
dc.description11 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/0810.3557
dc.identifierhttp://arxiv.org/abs/0810.3557
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171951
dc.subjectQuantum Physics
dc.titleQuantum Self-Correcting Stabilizer Codes
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