Perturbative Gadgets at Arbitrary Orders

TitlePerturbative Gadgets at Arbitrary Orders
Publication TypeJournal Article
Year of Publication2008
AuthorsJordan, SP, Farhi, E
JournalPhysical Review A
Volume77
Issue6
Date Published2008/6/19
Abstract

Adiabatic quantum algorithms are often most easily formulated using many-body
interactions. However, experimentally available interactions are generally
two-body. In 2004, Kempe, Kitaev, and Regev introduced perturbative gadgets, by
which arbitrary three-body effective interactions can be obtained using
Hamiltonians consisting only of two-body interactions. These three-body
effective interactions arise from the third order in perturbation theory. Since
their introduction, perturbative gadgets have become a standard tool in the
theory of quantum computation. Here we construct generalized gadgets so that
one can directly obtain arbitrary k-body effective interactions from two-body
Hamiltonians. These effective interactions arise from the kth order in
perturbation theory.

URLhttp://arxiv.org/abs/0802.1874v4
DOI10.1103/PhysRevA.77.062329
Short TitlePhys. Rev. A