We derive an expression for a lower bound of the ground-state energy of N identical fermions. In principle, this relation can describe any order of multiplicity of many-body forces and represents a generalization of a Hall inequality. Applying the Hall lower-bound inequality to the Calogero and Sutherland potentials, we show the great importance of spin states. Furthermore, using a generalized formula, we obtain a lower bound for a system with three-body forces.

Physical Review AOct 1, 19933 citations

Verifying the output of quantum optimizers with ground-state energy lower bounds

Flavio Baccari, Christian Gogolin, Peter Wittek +1 more

The authors show how to benchmark the output of quantum devices designed to solve optimization problems encoded in the ground-state configuration of classical spin systems by means of lower bounds to the ground-state energy obtained by semi-definite programming.

arXiv:1808.01275Physical Review ResearchOct 30, 20208 citations