Abstract

We prove that approximating the ground energy of the antiferromagnetic XY model on a simple graph at fixed magnetization (given as part of the instance specification) is QMA-complete. To show this, we strengthen a previous result by establishing QMA-completeness for approximating the ground energy of the Bose-Hubbard model on simple graphs. Using a connection between the XY and Bose-Hubbard models that we exploited in previous work, this establishes QMA-completeness of the XY model.

Publication Details
Publication Type
Journal Article
Year of Publication
2016
Volume
16
Number of Pages
1–18
URL
http://arxiv.org/abs/1503.07083v1
Journal
Quantum Information and Computation
Contributors
Date Published
01/2016