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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