10.1109/ccc.2011.15
Gharibian, Sevag
Sevag
Gharibian0000-0002-9992-3379
Kempe, Julia
Julia
Kempe
Approximation Algorithms for QMA-Complete Problems
IEEE
2011
2019-03-01T12:06:18Z
2019-03-06T22:06:48Z
conference
https://ris.uni-paderborn.de/record/8176
https://ris.uni-paderborn.de/record/8176.json
9781457701795
1101.3884
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.