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  3. Discrete Quantum Walks on Graphs and Digraphs
  • Cited by 7
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    • Publisher:
      Cambridge University Press
      Publication date:
      December 2022
      January 2023
      ISBN:
      9781009261692
      9781009261685
      DOI:
      https://doi.org/10.1017/9781009261692
      Dimensions:
      Weight & Pages:
      Dimensions:
      (229 x 152 mm)
      Weight & Pages:
      0.23kg, 300 Pages
      • Subjects:
      Mathematics (general), Mathematics, Discrete Mathematics Information Theory and Coding, Probability Theory and Stochastic Processes, Statistics and Probability
      Series:
      London Mathematical Society Lecture Note Series
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    Subjects:
    Mathematics (general), Mathematics, Discrete Mathematics Information Theory and Coding, Probability Theory and Stochastic Processes, Statistics and Probability
    Series:
    London Mathematical Society Lecture Note Series
    Information

    Book description

    Discrete quantum walks are quantum analogues of classical random walks. They are an important tool in quantum computing and a number of algorithms can be viewed as discrete quantum walks, in particular Grover's search algorithm. These walks are constructed on an underlying graph, and so there is a relation between properties of walks and properties of the graph. This book studies the mathematical problems that arise from this connection, and the different classes of walks that arise. Written at a level suitable for graduate students in mathematics, the only prerequisites are linear algebra and basic graph theory; no prior knowledge of physics is required. The text serves as an introduction to this important and rapidly developing area for mathematicians and as a detailed reference for computer scientists and physicists working on quantum information theory.

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    Contents

    Contents
    • 1 - Grover Search
      pp 1-10
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