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Quantum computing : a short course from theory to experiment / / Joachim Stolze, Dieter Suter



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Autore: Stolze Joachim Visualizza persona
Titolo: Quantum computing : a short course from theory to experiment / / Joachim Stolze, Dieter Suter Visualizza cluster
Pubblicazione: Weinheim, : Wiley-VCH, c2004
Weinheim : : , : Wiley-VCH, , 2004
Descrizione fisica: 1 online resource (258 p.)
Disciplina: 004.1
Soggetto topico: Quantum computers
Classificazione: 007.1
548.29
004.1
Persona (resp. second.): SuterDieter
Note generali: Includes bibliographical references (p. [227]-240) and index
Nota di bibliografia: Includes bibliographical references and index.
Nota di contenuto: Quantum Computing A Short Course from Theory to Experiment; Contents; Preface; 1 Introduction and survey; 1.1 Information, computers and quantum mechanics; 1.1.1 Digital information; 1.1.2 Moore's law; 1.1.3 Emergence of quantum behavior; 1.1.4 Energy dissipation in computers; 1.2 Quantum computer basics; 1.2.1 Quantum information; 1.2.2 Quantum communication; 1.2.3 Basics of quantum information processing; 1.2.4 Decoherence; 1.2.5 Implementation; 1.3 History of quantum information processing; 1.3.1 Initial ideas; 1.3.2 Quantum algorithms; 1.3.3 Implementations; 2 Physics of computation
2 .1 Physical laws and information processing2.1.1 Hardware representation; 2.1.2 Quantum vs . classical information processing; 2.2 Limitations on computer performance; 2.2.1 Switching energy; 2.2.2 Entropy generation and Maxwell's demon; 2.2.3 Reversible logic; 2.2.4 Reversible gates for universal computers; 2.2.5 Processing speed; 2.2.6 Storage density; 2.3 The ultimate laptop; 2.3.1 Processing speed; 2.3.2 Maximum storage density; 3 Elements of classical computer science; 3.1 Bits of history; 3.2 Boolean algebra and logic gates; 3.2.1 Bits and gates; 3.2.2 2-bit logic gates
3.2.3 Minimum set of irreversible gates3.2.4 Minimum set of reversible gates; 3.2.5 The CNOT gate; 3.2.6 The Toffoli gate; 3.2.7 The Fredkin gate; 3.3 Universal cornputers; 3.3.1 The Turing machine; 3.3.2 The Church-Turing hypothesis; 3.4 Complexity and algorithms; 3.4.1 Complexity classes; 3.4.2 Hard and impossible problems; 4 Quantum mechanics; 4.1 Gencral structure; 4.1.1 Spectral lines and stationary states; 4.1.2 Vectors in Hilbert space; 4.1.3 Operators in Hilbert space; 4.1.4 Dynamics and the Hamiltonian operator; 4.1.5 Measurements; 4.2 Quantum states
4.2.1 The two-dimensional Hilbert space: qubits, spins, and photons4.2.2 Hamiltonian and evolution; 4.2.3 Two or more qubits; 4.2.4 Density operator; 4.2.5 Entanglement and mixing; 4.2.6 Quantification of entanglement; 4.2.7 Bloch sphere; 4.2.8 EPR correlations; 4.2.9 Bell's theorem; 4.2.10 Violation of Bell's inequality; 4.2.11 The no-cloning theorem; 4.3 Measurement revisited; 4.3.1 Quantum mechanical projection postulate; 4.3.2 The Copenhagen interpretation; 4.3.3 Von Neumann's model; 5 Quantum bits and quantum gates; 5.1 Single-qubit gates; 5.1.1 Introduction
5.1.2 Rotations around coordinate axes5.1.3 General rotations; 5.1.4 Composite rotations; 5.2 Two-qubit gates; 5.2.1 Controlled gates; 5.2.2 Composite gates; 5.3 Universal sets of gates; 5.3.1 Choice of set; 5.3.2 Unitary operations; 5.3.3 Two qubit operations; 5.3.4 Approximating single-qubit gates; 6 Feynman's contribution; 6.1 Simulating physics with computers; 6.1.1 Discrete system representations; 6.1.2 Probabilistic simulations; 6.2 Quantum mechanical computers; 6.2.1 Simple gates; 6.2.2 Adder circuits; 6.2.3 Qubit raising and lowering operators; 6.2.4 Adder Hamiltonian
7 Errors and decoherence
Sommario/riassunto: The result of a lecture series, this textbook is oriented towards students and newcomers to the field and discusses theoretical foundations as well as experimental realizations in detail. The authors are experienced teachers and have tailored this book to the needs of students. They present the basics of quantum communication and quantum information processing, leading readers to modern technical implementations. In addition, they discuss errors and decoherence as well as methods of avoiding and correcting them.
Titolo autorizzato: Quantum computing  Visualizza cluster
ISBN: 1-281-84315-6
9786611843151
3-527-61776-0
3-527-61777-9
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Non definito
Record Nr.: 9910144734703321
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