TY - JOUR
T1 - Perturbative Gadgets at Arbitrary Orders
JF - Physical Review A
Y1 - 2008
A1 - Stephen P. Jordan
A1 - Edward Farhi
AB - 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.
VL - 77
UR - http://arxiv.org/abs/0802.1874v4
CP - 6
J1 - Phys. Rev. A
U5 - 10.1103/PhysRevA.77.062329
ER -