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Improved Simulation of Quantum Random Walks

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Book cover Computer and Information Sciences - ISCIS 2005 (ISCIS 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3733))

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Abstract

We present an optimized version of the quantum random walk simulation algorithm. Our approach can be generalized to optimize any quantum simulation in which the linear combination rule is used to simulate a collection of constituent Hamiltonians. The method involves manipulation of the order in which the constituent Hamiltonians are simulated for small durations in the iterative step of the simulation algorithm. An analysis to illustrate the benefits of the new approach in oracle-based simulations is also given.

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References

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Author information

Authors and Affiliations

  1. Department of Computer Engineering, Boğaziçi University, 34342, İstanbul, Turkey

    Uğur Küçük & A. C. Cem Say

Authors
  1. Uğur Küçük
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  2. A. C. Cem Say
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Editor information

Editors and Affiliations

  1. Department of Computer Engineering, Boğaziçi University, 34342, Bebek, Istanbul, Turkey

    pInar Yolum  & Can Özturan  & 

  2. Computer Engineering Department, Boğaziçi University, 34342, Bebek, İstanbul, Turkey

    Tunga Güngör

  3. Computer Engineering Department, Bogazici University, 80815, Bebek, Istanbul, Turkey

    Fikret Gürgen

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© 2005 Springer-Verlag Berlin Heidelberg

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Küçük, U., Say, A.C.C. (2005). Improved Simulation of Quantum Random Walks. In: Yolum, p., Güngör, T., Gürgen, F., Özturan, C. (eds) Computer and Information Sciences - ISCIS 2005. ISCIS 2005. Lecture Notes in Computer Science, vol 3733. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11569596_95

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  • DOI: https://doi.org/10.1007/11569596_95

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-29414-6

  • Online ISBN: 978-3-540-32085-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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