Quantum Computing
From Linear Algebra to Physical Realizations

Language: English

226.76 €

Subject to availability at the publisher.

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550 p. · 15.6x23.4 cm · Hardback

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.

FROM LINEAR ALGEBRA TO QUANTUM COMPUTING: Basics of Vectors and Matrices. Framework of Quantum Mechanics. Qubits and Quantum Key Distribution. Quantum Gates, Quantum Circuit, and Quantum Computer. Simple Quantum Algorithms. Quantum Integral Transforms. Grover’s Search Algorithm. Shor’s Factorization Algorithm. Decoherence. Quantum Error-Correcting Codes. Physical Realizations of Quantum Computing: DiVincenzo Criteria. NMR Quantum Computer. Trapped Ions. Quantum Computing with Neutral Atoms. Josephson Junction Qubits. Quantum Computing with Quantum Dots. Appendix. Index.

Professional
Mikio Nakahara, Tetsuo Ohmi
With explicit derivations, exercises, and selected solutions, this self-contained, classroom-tested book examines the theoretical aspects of quantum computing and focuses on several candidates of a working quantum computer, evaluating them according to the DiVincenzo criteria. It covers theoretical tools, such as vectors, matrices, quantum gates, and integral and Fourier transforms. The authors discuss how decoherence is an obstacle to the physical realization of a working quantum computer and how quantum error-correcting codes can sometimes overcome this. They also explore applications, including the ion trap quantum computer and the solid state realization of a quantum computer, at the forefront of the field.