Schrodinger Equation As a General Optimization Algorithm - Mathematics > Optimization and ControlReport as inadecuate




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Abstract: One of the greatest scientific achievements of physics in the 20th century isthe discovery of quantum mechanics. The Schrodinger equation is the mostfundamental equation in quantum mechanics describing the time-based evolutionof the quantum state of a physical system. It has been found that thetime-independent version of the equation can be derived from a generaloptimization algorithm. Instead of arguing for a new interpretation andpossible deeper principle for quantum mechanics, this paper elaborates a fewpoints of the equation as a general global optimization algorithm. Benchmarkedagainst randomly generated hard optimization problems, this paper shows thatthe algorithm significantly outperformed a classic local optimizationalgorithm. The former found a solution in one second with a single trial betterthan the best one found by the latter around one hour after one hundredthousand trials.



Author: Xiaofei Huang

Source: https://arxiv.org/







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