Mixing and decoherence in continuous-time quantum walks on cycles

@article{Fedichkin2006MixingAD,
  title={Mixing and decoherence in continuous-time quantum walks on cycles},
  author={Leonid Fedichkin and Dmitry Solenov and Christino Tamon},
  journal={Quantum Information & Computation},
  year={2006},
  volume={6},
  pages={263-276}
}
We prove analytical results showing that decoherence can be useful for mixing time in a continuous-time quantum walk on finite cycles. This complements the numerical observations by Kendon and Tregenna ( Physical Review A 67 (2003), 042315) of a similar phenomenon for discrete-time quantum walks. Ou r analytical treatment of continuous-time quantum walks includes a continuous monit ori g of all vertices that induces the decoherence process. We identify the dynamics o f the probability… CONTINUE READING

References

Publications referenced by this paper.
Showing 1-10 of 22 references

Additivity of Decoherence Measures for Multiqubit Quantum Systems

  • Leonid Fedichkin, Arkady Fedorov, Vladimir Privman
  • Physical Review A
  • 2004

Privma n, ”Additivity of Decoherence Measures for Multiqubit Quantum Systems,

  • Leonid Fedichkin, Arkady Fedorov, Vladimir
  • Physical Review A
  • 2004

Decoherence can be usefulin q antum walks

  • Viv Kendon, Ben Tregenna
  • 2003

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