Simulation of Many-Body Hamiltonians using Perturbation Theory with Bounded-Strength Interactions

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dc.creatorBravyi, Sergey
dc.creatorDiVincenzo, David P.
dc.creatorLoss, Daniel
dc.creatorTerhal, Barbara M.
dc.date2008-03-18
dc.date.accessioned2026-07-07T11:44:47Z
dc.date.available2026-07-07T11:44:47Z
dc.descriptionWe show how to map a given n-qubit target Hamiltonian with bounded-strength k-body interactions onto a simulator Hamiltonian with two-body interactions, such that the ground-state energy of the target and the simulator Hamiltonians are the same up to an extensive error O(epsilon n) for arbitrary small epsilon. The strength of interactions in the simulator Hamiltonian depends on epsilon and k but does not depend on n. We accomplish this reduction using a new way of deriving an effective low-energy Hamiltonian which relies on the Schrieffer-Wolff transformation of many-body physics.
dc.descriptionv1: 8 pages Latex, 1 figure
dc.identifierhttps://arxiv.org/abs/0803.2686
dc.identifierhttp://arxiv.org/abs/0803.2686
dc.identifierPhys.Rev.Lett.101:070503,2008
dc.identifierdoi:10.1103/PhysRevLett.101.070503
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/201673
dc.subjectQuantum Physics
dc.subjectOther Condensed Matter
dc.subjectMathematical Physics
dc.titleSimulation of Many-Body Hamiltonians using Perturbation Theory with Bounded-Strength Interactions
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