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Quantum Computing: From Linear Algebra to Physical Realizations
Contributor(s): Nakahara, Mikio (Author)

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ISBN: 0750309830     ISBN-13: 9780750309837
Publisher: CRC Press
OUR PRICE: $228.00  

Binding Type: Hardcover
Published: January 2008
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Annotation: Quantum computing is a relatively young field found at the intersection between information science and quantum physics. It describes the manipulation of information stored in the quantum states of a physical system, which has properties that sharply contrast with those of conventional classical information. The potential for exploitation of these properties-quantum information processing-is huge. Quantum algorithms running on the holy grail of QI research, a quantum computer, could be faster than any foreseeable classical computer. Quantum Computing: From Linear Algebra to Physical Realizations is a complete introduction to the subject, based on courses given by the authors in both Japan and Europe. The text divides into two parts: the first, an introductory overview of quantum information theory, including a discussion of the famous Grover and Shor algorithms and the introduction of the concept of a qubit (quantum-bit). The second part, which makes this title unique, is a comprehensive discussion of the experimental approaches currently being developed to make quantum computing a reality. These range from optical techniques- already successfully used for quantum cryptography-through solid state/superconducting and BEC methods to ion traps-the most likely candidate for eventual success.
Additional Information
BISAC Categories:
- Computers | Mathematical & Statistical Software
- Mathematics | Algebra - Linear
- Computers | Enterprise Applications - General
Dewey: 621.391
LCCN: 2007044310
Physical Information: 1.08" H x 6.24" W x 9.69" L (1.66 lbs) 438 pages
Features: Bibliography, Illustrated, Index, Table of Contents
Review Citations: Library Journal Supplements 11/15/2007 pg. 49
Scitech Book News 06/01/2008 pg. 24
 
Descriptions, Reviews, Etc.
Publisher Description:

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.

 
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