TY - JOUR
T1 - Complexity of the XY antiferromagnet at fixed magnetization
JF - Quantum Information and Computation
Y1 - 2016
A1 - Andrew M. Childs
A1 - David Gosset
A1 - Zak Webb
AB - 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.
VL - 16
U4 - 1-18
UR - http://arxiv.org/abs/1503.07083v1
CP - 1-2
ER -