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

None, None; None, None; None, None; None, None

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

Journal Article (2008)

Author(s)

Sergey Bravyi (IBM Thomas J. Watson Research Centre)

David P. Divincenzo (IBM Thomas J. Watson Research Centre)

Daniel Loss (University of Basel)

Barbara M. Terhal (IBM Thomas J. Watson Research Centre)

Affiliation

External organisation

DOI related publication

https://doi.org/10.1103/PhysRevLett.101.070503 Final published version

To reference this document use

https://resolver.tudelft.nl/uuid:e5b5f4ce-c2d5-4f23-ac29-45dfec9c41c8

More Info

expand_more

Publication Year

2008

Language

English

Affiliation

External organisation

Journal title

Physical Review Letters

Issue number

7

Volume number

101

Article number

070503

Pages (from-to)

070503-1 - 070503-4

Page Views

236

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(n) for arbitrary small. The strength of the interactions in the simulator Hamiltonian depends on 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.