Buch Quantum Computing: From Linear Algebra to Physical Realizations

Beschreibung Quantum Computing: From Linear Algebra to Physical Realizations

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 computerLiquid state NMR, one of the well-understood physical systemsIonic and atomic qubitsSeveral types of Josephson junction qubitsThe quantum dots realization of qubitsLooking 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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Quantum Computing. From Linear Algebra to Physical ~ Quantum Computing. From Linear Algebra to Physical Realizations / Mikio Nakahara, Tetsuo Ohmi / download / B–OK. Download books for free. Find books

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Appendix A Linear Algebra for Quantum Computation ~ Quantum computation inherited linear algebra from quantum mechanics as the supporting language for describing this area. Therefore, it is essential to have a solid knowledge of the basic results of linear algebra to understand quantum computation and quantum algorithms. If the reader does not have this base knowledge, we suggest reading some of the basic references recommended at the end of .

An Introduction to Quantum Computing ~ 1.4 A Linear Algebra Formulation of the Circuit Model 8 1.5 Reversible Computation 12 1.6 A Preview of Quantum Physics 15 1.7 Quantum Physics and Computation 19 2 LINEAR ALGEBRA AND THE DIRAC NOTATION 21 2.1 The Dirac Notation and Hilbert Spaces 21 2.2 Dual Vectors 23 2.3 Operators 27 2.4 The Spectral Theorem 30 2.5 Functions of Operators 32

Quantum Computing: From Linear Algebra to Physical ~ Covering both theory and progressive experiments, Quantum Computing: From Linear Algebra to Physical Realizations explains how and why superposition and entanglement provide the enormous.

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Quantum Computing: From Linear Algebra to Physical ~ Quantum Computing: From Linear Algebra to Physical Realizations: : Mikio (Kinki University, Osaka, Japan) Nakahara, Tetsuo Ohmi: Bücher

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