PiresMA / quantum-walk-1D

1D discrete-time quantum walks

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quantum-walk-1D

(In progress)

You can find a better visualization of my .ipynb at https://nbviewer.jupyter.org/github/PiresMA/quantum-walk-1D/tree/master/

Summary:

qw_01:

  • Probability distribution P_t(x) for the QW and classical walk (CW)
  • Scaling behavior of the main spreading measure, namely the standard deviation of P_t(x)

qw_02:

  • Jensen-Shannon dissimilarity between P_t(x) arising from the QW and CW. This measure is a bounded symmetrization of the unbounded Kullback-Leibler dissimilarity (KLD).
  • For comparison, I also include the Hellinger distance between P_t(x) from QW and CW

qw_03 (coming soon)

  • Distributional measures: Shannon entropy and Inverse Participation Ratio (IPR)

qw_04 (coming soon)

  • Von Neumann entanglement entropy

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1D discrete-time quantum walks


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