Quantum Measurement

Introduction.- Part I Mathematics.- Rudiments of Hilbert Space Theory.- Classes of Compact Operators.- Operator Integrals and Spectral Representations: the Bounded Case.- Operator Integrals and Spectral Representations: the Unbounded Case.- Miscellaneous Algebraic and Functional Analytic Techniques.- Dilation Theory.- Positive Operator Measures: Examples.- Part II Elements.- States, Effects and Observables.- Measurement.- Joint Measurability.- Preparation Uncertainty.- Measurement Uncertainty.- Part III Realisations.- Qubits.- Position and Momentum.- Number and Phase.- Time and Energy.- State Reconstruction.- Measurement Implementations.- Part IV Foundations.- Bell Inequalities and Incompatibility.- Measurement Limitations due to Conservation Laws.- Measurement Problem.- Axioms for Quantum Mechanics.- Index.

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• Filosofia da Ciência
• Ciência dos materiais
• Física
• Física Matemática
• Física da Matéria Condensada (física do estado sólido e estado líquido)
• Análise funcional e transforma
• A física quântica (mecânica quântica e teoria quântica de campos)

Frechet-Riesz theorem;Hilbert-Schmidt operator class;Riesz-Markov-Kakutani representation theorem;Cayley transform;Stone's theorem;Dilation theory;Fourier-Plancherel transform;Measurement schemes;Qubit states;Arthurs-Kelly model;Eight-port homodyne detection;Mach-Zehnder interferometer;Bell inequalities;Yanase condition;Wigner-Araki-Yanase theorem;Quantum logic