Entangled Systems : New Directions in Quantum Physics
Jurgen. Audretsch
Bok Engelsk 2008 · Electronic books.
| Annen tittel | |
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| Utgitt | Hoboken : : Wiley, , 2008.
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| Omfang | 1 online resource (355 p.)
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| Opplysninger | Description based upon print version of record.. - Entangled Systems; Contents; Preface to the English Edition; Preface to the German Edition; 1 The Mathematical Framework; 1.1 Hilbert Vector Space; 1.1.1 The Scalar Product and the Dirac Notation; 1.1.2 Linear Operators on the Hilbert Space; 1.1.3 Normal Operators and Spectral Decompositions; 1.1.4 Hermitian Operators; 1.1.5 UnitaryOperators; 1.1.6 Positive Operators and Projection Operators; 1.2 Liouville Operator Space; 1.2.1 Scalar Product; 1.2.2 Superoperators; 1.3 The Elements of Probability Theory; 1.3.1 The Probability of Random Events; 1.3.2 Conditional Probability and Bayes' Theorem. - 1.3.3 Random Quantities1.4 Complementary Topics and Further Reading; 1.5 Problems for Chapter 1; 2 Basic Concepts of Quantum Theory; 2.1 First Version of the Postulates (pure states of isolated quantum systems); 2.1.1 Introduction: the Scenario of Quantum Mechanics; 2.1.2 Quantum States; 2.1.3 Postulates for Pure States of Isolated Quantum Systems; 2.1.4 Comments on the Postulates; 2.2 Outlook; 2.3 Manipulation of the Evolution of the States by Projective Measurements; 2.3.1 The Quantum Zeno Effect; 2.3.2 Driving a State Vector by a Sequence of Projection Measurements. - 2.4 The Structure of Physical Theories*2.4.1 Structural Elements of a Physical Theory*; 2.4.2 Developed Reality*; 2.5 Interpretations of Quantum Theory and Physical Reality*; 2.5.1 The Minimal Interpretation*; 2.5.2 The Standard Interpretation*; 2.6 Complementary Topics and Further Reading; 3 The Simplest Quantum Systems: Qubits; 3.1 PauliOperators; 3.2 Visualisation of Qubits on the Bloch Sphere; 3.3 Visualisation of the Measurement Dynamics and the Unitary Dynamics; 3.4 Quantum Gates for Single Qubit Systems; 3.5 Spin- 1/2; 3.6 Photon Polarisations. - 3.7 Single Photons in a Beam Splitter and in an Interferometer3.7.1 Beam Splitters; 3.7.2 Interferometer; 3.8 Locating a Bomb Without Exploding It by Using a Null Measurement*; 3.9 Complementary Topics and Further Reading; 3.10 Problems for Chapter 3; 4 Mixed States and the Density Operator; 4.1 Density Operators for a Given Ensemble (Statistical Mixture); 4.1.1 Pure States; 4.1.2 The Physics of Statistical Mixtures (Blends); 4.1.3 Definition and Properties of the Generalised Density Operator; 4.1.4 Incoherent Superpositions of Pure States; 4.2 The Generalised Quantum State. - 4.3 Different Ensemble Decompositions of a Density Operator and the Ignorance Interpretation4.4 Density Operators of Qubits; 4.5 Complementary Topics and Further Reading; 4.6 Problems for Chapter 4; 5 Shannon's Entropy and Classical Information; 5.1 Definition and Properties; 5.2 Shannon's Theorem; 5.2.1 Typical Sequences; 5.2.2 Classical Data Compression; 5.3 Classical Information; 5.4 Classical Relative Entropy; 5.5 Mutual Information as a Measure of the Correlation between Two Messages; 5.5.1 Mutual Information; 5.5.2 Conditional Entropy; 5.6 Complementary Topics and Further Reading. - 5.7 Problems for Chapter 5. - An introductory textbook for advanced students of physics, chemistry and computer science, covering an area of physics that has lately witnessed rapid expansion. The topics treated here include quantum information, quantum communication, quantum computing, teleportation and hidden parameters, thus imparting not only a well-founded understanding of quantum theory as such, but also a solid basis of knowledge from which readers can follow the rapid development of the topic or delve deeper into a more specialized branch of research. Commented recommendations for further reading as well as end-of-c
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| Dewey | |
| ISBN | 9783527406845
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