Experimental Implementation of Fast Quantum Searching

@article{Chuang1998ExperimentalIO,
  title={Experimental Implementation of Fast Quantum Searching},
  author={Isaac L. Chuang and Neil A. Gershenfeld and Mark Kubinec},
  journal={Physical Review Letters},
  year={1998},
  volume={80},
  pages={3408-3411}
}
Using nuclear magnetic resonance techniques with a solution of chloroform molecules we implement Grover’s search algorithm for a system with four states. By performing a tomographic reconstruction of the density matrix during the computation good agreement is seen between theory and experiment. This provides the first complete experimental demonstration of loading an initial state into a quantum computer, performing a computation requiring fewer steps than on a classical computer, and then… 

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References

SHOWING 1-10 OF 22 REFERENCES

EFFECTIVE PURE STATES FOR BULK QUANTUM COMPUTATION

This work introduces several temporal averaging algorithms suitable for both high temperature and low temperature bulk quantum computing and analyzes the signal to noise behavior of each.

Principles of nuclear magnetic resonance in one and two dimensions

List of notation Introduction The dynamics of nuclear spin systems Manipulation of nuclear spin Hamiltonians One-dimensional Fourier spectroscopy Multiple-quantum transitions Two-dimensional Fourier

Phys. Rev. A

  • Phys. Rev. A
  • 1996

Int. J. Theor. Phys

  • Int. J. Theor. Phys
  • 1982

Phys

  • Rev. A 51, 992
  • 1995

LANL e-print quant-ph/9605034

  • Fortschr. Phys

Proc. R. Soc. London A

  • Proc. R. Soc. London A
  • 1998

Science 270

  • 1633
  • 1995

Int. J. Theor. Phys

  • Int. J. Theor. Phys
  • 1982