Overview

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 processingquantum key distribution
• Quantum gates
• Simple yet elucidating examples of quantum algorithms
• Quantum circuits that implement integral transforms
• Practical quantum algorithms, including Grovers database search algorithm and Shors factorization algorithm
• The disturbing issue of decoherence
• Important examples of quantum error-correcting codes (QECC)

• 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

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9781281326164

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