Abstract
We show how to map a given -qubit target Hamiltonian with bounded-strength -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 for arbitrary small . The strength of the interactions in the simulator Hamiltonian depends on and but does not depend on . 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.
- Received 2 April 2008
DOI:https://doi.org/10.1103/PhysRevLett.101.070503
©2008 American Physical Society