MATLAB Programming to Implement Quantum Walk Algorithm for Presenting Probability Distributions of Quantum Walks

Authors

  • Lila Yuwana Department of Physics, Institut Teknologi Sepuluh Nopember, Surabaya
  • Agus Purwanto Department of Physics, Institut Teknologi Sepuluh Nopember, Surabaya
  • Endarko Endarko Department of Physics, Institut Teknologi Sepuluh Nopember, Surabaya

DOI:

https://doi.org/10.26713/jims.v10i1-2.685

Keywords:

Quantum Walks, probability distributions, coin flip transformation

Abstract

There are numerous ideas that have been provided by quantum walks for new quantum algorithms. In this article, we surveyed the discrete quantum walk algorithm to present probability distributions. Moreover, we transformed the algorithm into MATLAB programming. Finally, the programming can be utilised to compare coin flip transformations that generate probability distributions as proposed in several previous articles and also to identify a unitarity of a coin flip transformation.

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References

Y. Aharonov, L. Davidovich and N. Zagury, Quantum random walks, Physical Review A 48 (1993), 1687 – 1690.

A. Ambainis, E. Bach, A. Nayak, A. Vishwanath and J. Watrous, One-dimensional quantum walks, in The Thirty-Third Annual ACM Symposium on Theory of Computing (STOC'01), New York (2001).

A. Ambainis, Quantum walks and their algorithmic applications, International Journal of Quantum Information 10 (4) (2003), 507.

N. Ashwin and V. Ashvin, Quantum Walk on the Line, Center for Discrete Mathematics & Theoretical Computer Science, New York (2000).

A.M. Childs, R. Cleve, E. Deotto, E. Farhi, S. Guttman and D.A. Spielman, Exponential algorithmic speedup by quantum walk, in Proceedings 35th ACM Symposium on Theory of Computing (STOC 2003), San Diego (2003).

J. Kempe, Quantum random walks: An introductory overview, Contemporary Physics 44 (2003), 307 – 327.

M. Montero, Quantum and random walks as universal generators of probability distributions, Physical Review A 95 (2017), 062326; 062326-1.

R. Motwani and P. Raghavan, Randomized Algorithms, 1st edition, Cambridge University Press (1995), New York.

M.N. Dheeraj and A.T. Brun, Continuous limit of discrete quantum walks, Physical Review A 91 (6) (2015), 062304-1.

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Published

2018-04-30
CITATION

How to Cite

Yuwana, L., Purwanto, A., & Endarko, E. (2018). MATLAB Programming to Implement Quantum Walk Algorithm for Presenting Probability Distributions of Quantum Walks. Journal of Informatics and Mathematical Sciences, 10(1-2), 23–32. https://doi.org/10.26713/jims.v10i1-2.685

Issue

Section

Research Articles