Quantum Computing: From Linear Algebra to Physical Realizations

by Mikio Nakahara and Tetsuo Ohmi

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Covering both theory and progressive experiments, Quantum Computing: From Linear Algebra to Physical Realizations explains how and why superposition and entanglement provide the enormous computational power in quantum computing. This self-contained, classroom-tested book is divided into two sections, with the first devoted to the theoretical aspects of quantum computing and the second focused on several candidates of a working quantum computer, evaluating them according to the DiVincenzo criteria.

Topics in Part I

  • Linear algebra
  • Principles of quantum mechanics
  • Qubit and the first application of quantum information processing—quantum key distribution
  • Quantum gates
  • Simple yet elucidating examples of quantum algorithms
  • Quantum circuits that implement integral transforms
  • Practical quantum algorithms, including Grover’s database search algorithm and Shor’s factorization algorithm
  • The disturbing issue of decoherence
  • Important examples of quantum error-correcting codes (QECC)

Topics in Part II

  • DiVincenzo criteria, which are the standards a physical system must satisfy to be a candidate as a working quantum computer
  • Liquid state NMR, one of the well-understood physical systems
  • Ionic and atomic qubits
  • Several types of Josephson junction qubits
  • The quantum dots realization of qubits

Looking at the ways in which quantum computing can become reality, this book delves into enough theoretical background and experimental research to support a thorough understanding of this promising field.

  • ISBN10 0750309830
  • ISBN13 9780750309837
  • Publish Date 11 March 2008 (first published 1 January 2008)
  • Publish Status Active
  • Publish Country GB
  • Publisher Taylor & Francis Ltd
  • Imprint Institute of Physics Publishing
  • Format Hardcover
  • Pages 438
  • Language English