Bounds on Effective Hamiltonians for Stabilizer Codes

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dc.creatorBullock, Stephen S.
dc.creatorO'Leary, Dianne P.
dc.date2008-02-05
dc.date.accessioned2026-07-07T09:18:50Z
dc.date.available2026-07-07T09:18:50Z
dc.descriptionThis manuscript introduces various notions of k-locality of stabilizer codes inherited from the associated stabilizer groups. A choice of generators for the group leads to a Hamiltonian with the code in its groundspace, while a Hamiltonian holding the code in its groundspace might be called effective if its locality is less than that of a natural choice of generators (or any choice). This paper establishes some conditions under which effective Hamiltonians for stabilizer codes do not exist. Our results simplify in the cases of Calderbank-Shor-Steane stabilizer codes and topologically-ordered stabilizer codes arising from surface cellulations.
dc.description12 pages, two algorithms, one figure, to be submitted to QIC
dc.identifierhttps://arxiv.org/abs/0802.0626
dc.identifierhttp://arxiv.org/abs/0802.0626
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154170
dc.subjectQuantum Physics
dc.titleBounds on Effective Hamiltonians for Stabilizer Codes
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