Correlations in excited states of local Hamiltonians

(1) Department of Mathematics and Statistics University of Guelph Guelph ON Canada; (2) Institute for Quantum Computing School of Computer Science University of Waterloo Waterloo ON Canada; (3) State Key Laboratory of Computer Science Institute of Software Chinese Academy of Sciences Beijing China; (4) Centre for Quantum Technologies National University of Singapore Singapore 117543 Singapore; (5) Institute for Quantum Computing University of Waterloo Waterloo ON Canada