TY - CONF
AB - 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.
AU - Gharibian, Sevag
AU - Kempe, Julia
ID - 8176
SN - 9781457701795
T2 - IEEE Annual Conference on Computational Complexity (CCC 2011)
TI - Approximation Algorithms for QMA-Complete Problems
ER -