@article{bookatz2016improved,
author = {Bookatz, Adam D. and Roetteler, Martin and Wocjan, Pawel},
title = {Improved bounded-strength decoupling schemes for local Hamiltonians},
year = {2016},
month = {May},
abstract = {We address the task of switching off the Hamiltonian of a system by removing all internal and system-environment couplings. We propose dynamical decoupling schemes, that use only bounded-strength controls, for quantum many-body systems with local system Hamiltonians and local environmental couplings. To do so, we introduce the combinatorial concept of balanced-cycle orthogonal arrays (BOAs) and show how to construct them from classical error-correcting codes. The derived decoupling schemes may be useful as a primitive for more complex schemes, e.g., for Hamiltonian simulation. For the case of n qubits and a 2-local Hamiltonian, the length of the resulting decoupling scheme scales as O(n log(n)), improving over the previously best-known schemes that scaled quadratically with n. More generally, using balanced-cycle orthogonal arrays constructed from families of BCH codes, we show that bounded-strength decoupling for any local Hamiltonian can be achieved.},
publisher = {IEEE - Institute of Electrical and Electronics Engineers},
url = {http://approjects.co.za/?big=en-us/research/publication/improved-bounded-strength-decoupling-schemes-for-local-hamiltonians-2/},
pages = {2881-2894},
journal = {IEEE Transactions on Information Theory},
volume = {62},
edition = {IEEE Transactions on Information Theory},
note = {See also arXiv preprint arXiv:1509.00408},
}