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Quantum simulation of many-body Hamiltonians using perturbation theory with bounded-strength interactions

Bravyi, Sergey and DiVincenzo, David P. and Loss, Daniel and Terhal, Barbara M.. (2008) Quantum simulation of many-body Hamiltonians using perturbation theory with bounded-strength interactions. Physical review letters, Vol. 101, H. 7 , 070503, 4 S..

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Official URL: http://edoc.unibas.ch/dok/A5254605

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Abstract

We 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 the 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.
Faculties and Departments:05 Faculty of Science > Departement Physik > Physik > Theoretische Physik Mesoscopics (Loss)
UniBasel Contributors:Loss, Daniel
Item Type:Article, refereed
Article Subtype:Research Article
Bibsysno:Link to catalogue
Publisher:American Physical Society
ISSN:0031-9007
Note:Publication type according to Uni Basel Research Database: Journal article
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Last Modified:22 Mar 2012 14:26
Deposited On:22 Mar 2012 13:53

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