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}
}
  • D. Meyer, T. Wong
  • Published 2014
  • Physics
  • Physical Review A
  • 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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    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 26 REFERENCES
    New Journal of Physics 15
    • 2013
    New Journal of Physics 15
    • 2013
    Phys
    • 1998
    Journal of Physics B: Atomic
    • 2000
    Science 306
    • 2004
    Annals of Physics 100
    • 1976
    Il Nuovo Cimento (1955-1965) 20
    • 1961
    Journal of Non-Crystalline Solids 235
    417
    Journal of Physics B: Atomic
    • 2011
    Optics Communications 219
    • 2003