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An introduction to quantum computing [[electronic resource] /] / Phillip Kaye, Raymond Laflamme, Michele Mosca
| An introduction to quantum computing [[electronic resource] /] / Phillip Kaye, Raymond Laflamme, Michele Mosca |
| Autore | Kaye Phillip |
| Pubbl/distr/stampa | Oxford, : Oxford University Press, 2007 |
| Descrizione fisica | 1 online resource (287 p.) |
| Disciplina | 004.1 |
| Altri autori (Persone) |
LaflammeRaymond
MoscaMichele |
| Collana | Oxford scholarship online |
| Soggetto topico |
Quantum computers
Computers |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-19-191672-2
1-280-75761-2 0-19-152461-1 1-4294-5991-3 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents; Preface; Acknowledgements; 1 INTRODUCTION AND BACKGROUND; 2 LINEAR ALGEBRA AND THE DIRAC NOTATION; 3 QUBITS AND THE FRAMEWORK OF QUANTUM MECHANICS; 4 A QUANTUM MODEL OF COMPUTATION; 5 SUPERDENSE CODING AND QUANTUM TELEPORTATION; 6 INTRODUCTORY QUANTUM ALGORITHMS; 7 ALGORITHMS WITH SUPERPOLYNOMIAL SPEED-UP; 8 ALGORITHMS BASED ON AMPLITUDE AMPLIFICATION; 9 QUANTUM COMPUTATIONAL COMPLEXITY THEORY AND LOWER BOUNDS; 10 QUANTUM ERROR CORRECTION; APPENDIX A; Bibliography; Index |
| Record Nr. | UNINA-9910451466103321 |
Kaye Phillip
|
||
| Oxford, : Oxford University Press, 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
An introduction to quantum computing [[electronic resource] /] / Phillip Kaye, Raymond Laflamme, Michele Mosca
| An introduction to quantum computing [[electronic resource] /] / Phillip Kaye, Raymond Laflamme, Michele Mosca |
| Autore | Kaye Phillip |
| Pubbl/distr/stampa | Oxford, : Oxford University Press, 2007 |
| Descrizione fisica | xi, 274 p. : ill |
| Altri autori (Persone) |
LaflammeRaymond
MoscaMichele |
| Soggetto topico |
Quantum computers
Computers |
| ISBN |
1-280-75761-2
0-19-191672-2 1-4294-5991-3 0-19-152461-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910795710403321 |
|
Kaye Phillip
|
||
| Oxford, : Oxford University Press, 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
An introduction to quantum computing / / Phillip Kaye, Raymond Laflamme, Michele Mosca
| An introduction to quantum computing / / Phillip Kaye, Raymond Laflamme, Michele Mosca |
| Autore | Kaye Phillip |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Oxford, : Oxford University Press, 2007 |
| Descrizione fisica | xi, 274 p. : ill |
| Disciplina | 004.1 |
| Altri autori (Persone) |
LaflammeRaymond
MoscaMichele |
| Soggetto topico |
Quantum computers
Computers |
| ISBN |
1-280-75761-2
0-19-191672-2 1-4294-5991-3 0-19-152461-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Contents -- Preface -- Acknowledgements -- 1 INTRODUCTION AND BACKGROUND -- 1.1 Overview -- 1.2 Computers and the Strong Church-Turing Thesis -- 1.3 The Circuit Model of Computation -- 1.4 A Linear Algebra Formulation of the Circuit Model -- 1.5 Reversible Computation -- 1.6 A Preview of Quantum Physics -- 1.7 Quantum Physics and Computation -- 2 LINEAR ALGEBRA AND THE DIRAC NOTATION -- 2.1 The Dirac Notation and Hilbert Spaces -- 2.2 Dual Vectors -- 2.3 Operators -- 2.4 The Spectral Theorem -- 2.5 Functions of Operators -- 2.6 Tensor Products -- 2.7 The Schmidt Decomposition Theorem -- 2.8 Some Comments on the Dirac Notation -- 3 QUBITS AND THE FRAMEWORK OF QUANTUM MECHANICS -- 3.1 The State of a Quantum System -- 3.2 Time-Evolution of a Closed System -- 3.3 Composite Systems -- 3.4 Measurement -- 3.5 Mixed States and General Quantum Operations -- 3.5.1 Mixed States -- 3.5.2 Partial Trace -- 3.5.3 General Quantum Operations -- 4 A QUANTUM MODEL OF COMPUTATION -- 4.1 The Quantum Circuit Model -- 4.2 Quantum Gates -- 4.2.1 1-Qubit Gates -- 4.2.2 Controlled-U Gates -- 4.3 Universal Sets of Quantum Gates -- 4.4 Efficiency of Approximating Unitary Transformations -- 4.5 Implementing Measurements with Quantum Circuits -- 5 SUPERDENSE CODING AND QUANTUM TELEPORTATION -- 5.1 Superdense Coding -- 5.2 Quantum Teleportation -- 5.3 An Application of Quantum Teleportation -- 6 INTRODUCTORY QUANTUM ALGORITHMS -- 6.1 Probabilistic Versus Quantum Algorithms -- 6.2 Phase Kick-Back -- 6.3 The Deutsch Algorithm -- 6.4 The Deutsch-Jozsa Algorithm -- 6.5 Simon's Algorithm -- 7 ALGORITHMS WITH SUPERPOLYNOMIAL SPEED-UP -- 7.1 Quantum Phase Estimation and the Quantum Fourier Transform -- 7.1.1 Error Analysis for Estimating Arbitrary Phases -- 7.1.2 Periodic States -- 7.1.3 GCD, LCM, the Extended Euclidean Algorithm -- 7.2 Eigenvalue Estimation.
7.3 Finding-Orders -- 7.3.1 The Order-Finding Problem -- 7.3.2 Some Mathematical Preliminaries -- 7.3.3 The Eigenvalue Estimation Approach to Order Finding -- 7.3.4 Shor's Approach to Order Finding -- 7.4 Finding Discrete Logarithms -- 7.5 Hidden Subgroups -- 7.5.1 More on Quantum Fourier Transforms -- 7.5.2 Algorithm for the Finite Abelian Hidden Subgroup Problem -- 7.6 Related Algorithms and Techniques -- 8 ALGORITHMS BASED ON AMPLITUDE AMPLIFICATION -- 8.1 Grover's Quantum Search Algorithm -- 8.2 Amplitude Amplification -- 8.3 Quantum Amplitude Estimation and Quantum Counting -- 8.4 Searching Without Knowing the Success Probability -- 8.5 Related Algorithms and Techniques -- 9 QUANTUM COMPUTATIONAL COMPLEXITY THEORY AND LOWER BOUNDS -- 9.1 Computational Complexity -- 9.1.1 Language Recognition Problems and Complexity Classes -- 9.2 The Black-Box Model -- 9.2.1 State Distinguishability -- 9.3 Lower Bounds for Searching in the Black-Box Model: Hybrid Method -- 9.4 General Black-Box Lower Bounds -- 9.5 Polynomial Method -- 9.5.1 Applications to Lower Bounds -- 9.5.2 Examples of Polynomial Method Lower Bounds -- 9.6 Block Sensitivity -- 9.6.1 Examples of Block Sensitivity Lower Bounds -- 9.7 Adversary Methods -- 9.7.1 Examples of Adversary Lower Bounds -- 9.7.2 Generalizations -- 10 QUANTUM ERROR CORRECTION -- 10.1 Classical Error Correction -- 10.1.1 The Error Model -- 10.1.2 Encoding -- 10.1.3 Error Recovery -- 10.2 The Classical Three-Bit Code -- 10.3 Fault Tolerance -- 10.4 Quantum Error Correction -- 10.4.1 Error Models for Quantum Computing -- 10.4.2 Encoding -- 10.4.3 Error Recovery -- 10.5 Three- and Nine-Qubit Quantum Codes -- 10.5.1 The Three-Qubit Code for Bit-Flip Errors -- 10.5.2 The Three-Qubit Code for Phase-Flip Errors -- 10.5.3 Quantum Error Correction Without Decoding -- 10.5.4 The Nine-Qubit Shor Code. 10.6 Fault-Tolerant Quantum Computation -- 10.6.1 Concatenation of Codes and the Threshold Theorem -- APPENDIX A -- A.1 Tools for Analysing Probabilistic Algorithms -- A.2 Solving the Discrete Logarithm Problem When the Order of a Is Composite -- A.3 How Many Random Samples Are Needed to Generate a Group? -- A.4 Finding r Given k/r for Random k -- A.5 Adversary Method Lemma -- A.6 Black-Boxes for Group Computations -- A.7 Computing Schmidt Decompositions -- A.8 General Measurements -- A.9 Optimal Distinguishing of Two States -- A.9.1 A Simple Procedure -- A.9.2 Optimality of This Simple Procedure -- Bibliography -- Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- K -- L -- M -- N -- O -- P -- Q -- R -- S -- T -- U -- V -- W -- X -- Z. |
| Record Nr. | UNINA-9910824418103321 |
|
Kaye Phillip
|
||
| Oxford, : Oxford University Press, 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Quantum Darwinism and Friends / / Sebastian Deffner, Raymond Laflamme, Juan Pablo Paz, editors
| Quantum Darwinism and Friends / / Sebastian Deffner, Raymond Laflamme, Juan Pablo Paz, editors |
| Pubbl/distr/stampa | [Place of publication not identified] : , : MDPI - Multidisciplinary Digital Publishing Institute, , 2023 |
| Descrizione fisica | 1 online resource (384 pages) |
| Disciplina | 621.382 |
| Soggetto topico | Quantum communication |
| ISBN | 3-0365-6250-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface to "Quantum Darwinism and Friends" vii -- Quantum Theory of the Classical: Einselection, Envariance, Quantum Darwinism and Extantons 1 -- Quantum Darwinism in a Composite System: Objectivity versus Classicality 101 -- Justifying Born's Rule Pα = |Ψα|2 Using Deterministic Chaos, Decoherence, and the de Broglie-Bohm Quantum Theory 115 -- Many-Body Localization and the Emergence of Quantum Darwinism 139 -- Environment-Assisted Shortcuts to Adiabaticity 153 -- Thermality versus Objectivity: Can They Peacefully Coexist? 167 -- Limits to Perception by Quantum Monitoring with Finite Efficiency 187 -- Quantifying Decoherence via Increases in Classicality 201 -- Quantum-Classical Correspondence Principle for Heat Distribution in Quantum Brownian Motion 223 -- Does Decoherence Select the Pointer Basis of a Quantum Meter? 247 -- A Classical Formulation of Quantum Theory? 257 -- Revisiting Born's Rule through Uhlhorn's and Gleason's Theorems 277 -- Emergence of Objectivity for Quantum Many-Body Systems 283 -- Equilibration and "Thermalization" in the Adapted Caldeira-Leggett Model 297 -- Non-Perfect Propagation of Information to a Noisy Environment with Self-Evolution 321 -- Quantum Coherences and Classical Inhomogeneities as Equivalent Thermodynamics Resources 341 -- Amplification, Inference, and the Manifestation of Objective Classical Information 363. |
| Record Nr. | UNINA-9910647223603321 |
| [Place of publication not identified] : , : MDPI - Multidisciplinary Digital Publishing Institute, , 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||