Phys. Rev. Lett. 101, 070503 (2008) [4 pages]Quantum Simulation of Many-Body Hamiltonians Using Perturbation Theory with Bounded-Strength InteractionsReceived 2 April 2008; published 15 August 2008 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(ϵn) for arbitrary small ϵ. The strength of the interactions in the simulator Hamiltonian depends on ϵ 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. © 2008 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.101.070503
DOI:
10.1103/PhysRevLett.101.070503
PACS:
03.67.Ac, 31.15.am, 89.70.Eg
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.