@inproceedings{8176,
abstract = {Approximation algorithms for classical constraint satisfaction problems are one of the main research areas in theoretical computer science. Here we define a natural approximation version of the QMA-complete local Hamiltonian problem and initiate its study. We present two main results. The first shows that a non-trivial approximation ratio can be obtained in the class NP using product states. The second result (which builds on the first one), gives a polynomial time (classical) algorithm providing a similar approximation ratio for dense instances of the problem. The latter result is based on an adaptation of the "exhaustive sampling method" by Arora et al. [J. Comp. Sys. Sci. 58, p.193 (1999)] to the quantum setting, and might be of independent interest.},
author = {Gharibian, Sevag and Kempe, Julia},
booktitle = {IEEE Annual Conference on Computational Complexity (CCC 2011)},
isbn = {9781457701795},
location = {San Jose, USA},
publisher = {IEEE},
title = {{Approximation Algorithms for QMA-Complete Problems}},
doi = {10.1109/ccc.2011.15},
year = {2011},
}