Solving mixed-integer nonlinear programs (MINLPs) is hard from both a theoretical and practical perspective. Decomposing the integer part promising computational point of view. In general, however, no bounds on objective value gap can be established iterative procedures with potentially many subproblems are necessary. The situation different for optimal control problems binary variables that sw...

In this paper, we use Stein’s method to obtain optimal bounds, both in Kolmogorov and Wasserstein distance, the normal approximation for empirical distribution of ground state a many-interacting-worlds harmonic oscillator proposed by Hall, Deckert Wiseman (Phys. Rev. X 4 (2014) 041013). Our bounds on distance solve conjecture McKeague Levin (Ann. Appl. Probab. 26 (2016) 2540–2555).