# Quantum Search with General Nonlinearities

@article{Meyer2014QuantumSW, title={Quantum Search with General Nonlinearities}, author={D. Meyer and T. Wong}, journal={Physical Review A}, year={2014}, volume={89} }

Evolution by the Gross-Pitaevskii equation, which describes Bose-Einstein condensates under certain conditions, solves the unstructured search problem more efficiently than does the Schr\"odinger equation, because it includes a cubic nonlinearity, proportional to $|\psi|^2\psi$. This is not the only nonlinearity of the form $f(|\psi|^2)\psi$ that arises in effective equations for the evolution of real quantum physical systems, however: The cubic-quintic nonlinear Schr\"odinger equation… CONTINUE READING

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