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  3. Quantum Algorithms
  • Cited by 15
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    • Publisher:
      Cambridge University Press
      Publication date:
      03 May 2025
      24 April 2025
      ISBN:
      9781009639651
      9781009639644
      9781009639668
      DOI:
      https://doi.org/10.1017/9781009639651
      Creative Commons:
      Creative Common License - CC Creative Common License - BY Creative Common License - NC Creative Common License - ND
      This content is Open Access and distributed under the terms of the Creative Commons Attribution licence CC-BY-NC-ND 4.0.
      https://creativecommons.org/creativelicenses
      Dimensions:
      (229 x 152 mm)
      Weight & Pages:
      0.809kg, 433 Pages
      Dimensions:
      (229 x 152 mm)
      Weight & Pages:
      0.64kg, 433 Pages
      • Subjects:
      Algorithmics, Complexity, Computer Algebra, Computational Geometry, Physics and Astronomy, Computer Science, Quantum Physics, Quantum Information and Quantum Computation
    Open Access
    You have digital access to this book
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    Subjects:
    Algorithmics, Complexity, Computer Algebra, Computational Geometry, Physics and Astronomy, Computer Science, Quantum Physics, Quantum Information and Quantum Computation
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    Book description

    The 1994 discovery of Shor's quantum algorithm for integer factorization—an important practical problem in the area of cryptography—demonstrated quantum computing's potential for real-world impact. Since then, researchers have worked intensively to expand the list of practical problems that quantum algorithms can solve effectively. This book surveys the fruits of this effort, covering proposed quantum algorithms for concrete problems in many application areas, including quantum chemistry, optimization, finance, and machine learning. For each quantum algorithm considered, the book clearly states the problem being solved and the full computational complexity of the procedure, making sure to account for the contribution from all the underlying primitive ingredients. Separately, the book provides a detailed, independent summary of the most common algorithmic primitives. It has a modular, encyclopedic format to facilitate navigation of the material and to provide a quick reference for designers of quantum algorithms and quantum computing researchers.

    Reviews

    ‘This timely and forward-looking survey captures the state-of-the-art in quantum computing. Focusing on cutting-edge applications and recent advances in quantum primitives, it serves as an essential resource for understanding the rapidly evolving role of quantum algorithms in scientific discovery.’

    Lin Lin - University of California, Berkeley

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    Contents

    Full book PDF

    Page 2 of 2

    Contents
    • 25 - Basics of fault tolerance
      pp 314-319
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    • 26 - Quantum error correction with the surface code
      pp 320-324
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    • 27 - Logical gates with the surface code
      pp 325-331
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    • Appendix - Background, conventions, and notation
      pp 332-345
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    • References
      pp 346-414
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    • Index
      pp 415-419
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    Page 2 of 2

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