Introduction to quantum information science [[electronic resource] /] / Vlatko Vedral

• Autore: Vedral Vlatko
• Pubblicazione: Oxford, : Oxford University Press, c2006
• Descrizione fisica: 1 online resource (194 p.)
• Disciplina: 004.1; 530.12; 539
• Soggetto topico: Quantum communication; Quantum theory
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: Contents; PART I: CLASSICAL AND QUANTUM INFORMATION; 1 Classical information; 1.1 Information and physics; 1.2 Quantifying information; 1.3 Data compression; 1.4 Related measures of information; 1.5 Capacity of a noisy channel; 1.6 Summary; 2 Quantum mechanics; 2.1 Dirac notation; 2.2 The qubit, higher dimensions, and the inner product; 2.3 Hilbert spaces; 2.4 Projective measurements and operations; 2.5 Unitary operations; 2.6 Eigenvectors and eigenvalues; 2.7 Spectral decomposition; 2.8 Applications of the spectral theorem; 2.9 Dirac notation shorthands; 2.10 The Mach-Zehnder interferometer ; 2.11 The postulates of quantum mechanics2.12 Mixed states; 2.13 Entanglement; 2.14 Summary; 3 Quantum information-the basics; 3.1 No cloning of quantum bits; 3.2 Quantum cryptography; 3.3 The trace and partial-trace operations; 3.4 Hilbert space extension; 3.5 The Schmidt decomposition; 3.6 Generalized measurements; 3.7 CP-maps and positive operator-valued measurements; 3.8 The postulates of quantum mechanics revisited; 3.9 Summary; 4 Quantum communication with entanglement; 4.1 Pure state entanglement and Pauli matrices; 4.2 Dense coding; 4.3 Teleportation; 4.4 Entanglement swapping ; 4.5 No instantaneous transfer of information4.6 The extended-Hilbert-space view; 4.7 Summary; 5 Quantum information I; 5.1 Fidelity; 5.2 Helstrom's discrimination; 5.3 Quantum data compression; 5.4 Entropy of observation; 5.5 Conditional entropy and mutual information; 5.6 Relative entropy; 5.7 Statistical interpretation of relative entropy; 5.8 Summary; 6 Quantum information II; 6.1 Equalities and inequalities related to entropy; 6.2 The Holevo bound; 6.3 Capacity of a bosonic channel; 6.4 Information gained through measurements; 6.5 Relative entropy and thermodynamics ; 6.6 Entropy increase due to erasure6.7 Landauer's erasure and data compression; 6.8 Summary; PART II: QUANTUM ENTANGLEMENT; 7 Quantum entanglement-introduction; 7.1 The historical background of entanglement; 7.2 Bell's inequalities; 7.3 Separable states; 7.4 Pure states and Bell's inequalities; 7.5 Mixed states and Bell's inequalities; 7.6 Entanglement in second quantization; 7.7 Summary; 8 Witnessing quantum entanglement; 8.1 Entanglement witnesses; 8.2 The Jamiolkowski isomorphism; 8.3 The Peres-Horodecki criterion; 8.4 More examples of entanglement witnesses; 8.5 Summary ; 9 Quantum entanglement in practice9.1 Measurements with a Mach-Zehnder interferometer; 9.2 Interferometric implementation of Peres-Horodecki criterion; 9.3 Measuring the .delity between [omitted] and σ; 9.4 Summary; 10 Measures of entanglement; 10.1 Distillation of multiple copies of a pure state; 10.2 Analogy with the Carnot Cycle; 10.3 Properties of entanglement measures; 10.4 Entanglement of pure states; 10.5 Entanglement of mixed states; 10.6 Measures of entanglement derived from relative entropy; 10.7 Classical information and entanglement; 10.8 Entanglement and thermodynamics ; 10.9 Summary
• Sommario/riassunto: Making smaller and faster computers is one of the main goals of current technological progress, and is determined by the laws of physics. Quantum mechanics allows us to encode and manipulate information in ways much more efficient than with exisiting (classical) computers. The book is an introduction to this exciting subject. - ;This book offers a concise and up-to-date introduction to the popular field of quantum information. It has originated in a series of invited lecture courses at various universities in different countries. This is reflected in its informal style of exposition and presen
• Titolo autorizzato: Introduction to quantum information science
• ISBN: 0-19-967348-9; 1-280-75839-2; 0-19-152698-3; 1-4294-7034-8
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910792245903321
• Lo trovi qui: Univ. Federico II
• Serie: Oxford graduate texts.