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Foreword; Profile of the Institute; Preface; Contents; List of Illustrations; Figures; Tables; Chapter 1 Introduction and Motivation; Chapter 2 Theory and Background; 2.1 The Completeness of Quantum Theory; 2.2 The Kochen-Specker Theorem; 2.2.1 Kochen and Specker's Original Proof; 2.2.2 The Peres-Mermin Square; 2.3 Testing the Kochen-Specker Theorem; 2.4 Non-Contextuality Inequalities; 2.4.1 The CHSH-Inequality; 2.4.2 An Inequality from the Peres-Mermin Square; 2.5 The Finite-Precision Problem; 2.5.1 MKC Models; 2.5.2 Answers to the Finite-Precision Problem; 2.6 The Problem of Compatibility
2.6.1 A Kochen-Specker Test on Separated Qutrits2.6.2 Extended KS Inequalities; Chapter 3 Noise-Robustness of Kochen-Specker Tests; 3.1 The Measurement Process; 3.2 Noise Models and Quantum Operations; 3.3 Depolarizing Noise; 3.3.1 The CHSH-Inequality; 3.3.2 The Extended CHSH-Inequality; 3.3.3 The Peres-Mermin Inequality; 3.4 Bit-Flipping; 3.4.1 The CHSH-Inequality; 3.4.2 The Extended CHSH-Inequality; 3.4.3 The Peres-Mermin Inequality; 3.5 Amplitude Damping; 3.5.1 The CHSH-Inequality; 3.5.2 The Extended CHSH-Inequality; 3.5.3 The Peres-Mermin Inequality; 3.6 Phase Damping
3.6.1 The CHSH-Inequality3.6.2 The Extended CHSH-Inequality; 3.6.3 The Peres-Mermin Inequality; 3.7 Summary; Chapter 4 Statistical Models for Noisy Measurements; 4.1 Conceptual Model of the Measurement Process; 4.1.1 Ontic State Space; 4.1.2 Violations of Compatibility; 4.2 Markov Models; 4.2.1 Violating KS Inequalities with Probabilistic Evolutions; 4.2.2 Violating Extended KS-Inequalities; Chapter 5 Noncontextual Evolution; 5.1 Noncontextually Evolving Systems; 5.2 Inequalities for All Noncontextually Evolving Systems; 5.2.1 Generalizing the CHSH-Inequality
5.2.2 Generalizing the Peres-Mermin Inequality5.3 An Extension of the KS-Theorem; 5.3.1 Contextually Evolving Hidden Variables; Chapter 6 Conclusion; A Some Tables of Values; A.1 Possible Values for the CHSH-Inequality; A.2 Possible Values for the CHSH*-Inequality; Bibliography
2.6.1 A Kochen-Specker Test on Separated Qutrits2.6.2 Extended KS Inequalities; Chapter 3 Noise-Robustness of Kochen-Specker Tests; 3.1 The Measurement Process; 3.2 Noise Models and Quantum Operations; 3.3 Depolarizing Noise; 3.3.1 The CHSH-Inequality; 3.3.2 The Extended CHSH-Inequality; 3.3.3 The Peres-Mermin Inequality; 3.4 Bit-Flipping; 3.4.1 The CHSH-Inequality; 3.4.2 The Extended CHSH-Inequality; 3.4.3 The Peres-Mermin Inequality; 3.5 Amplitude Damping; 3.5.1 The CHSH-Inequality; 3.5.2 The Extended CHSH-Inequality; 3.5.3 The Peres-Mermin Inequality; 3.6 Phase Damping
3.6.1 The CHSH-Inequality3.6.2 The Extended CHSH-Inequality; 3.6.3 The Peres-Mermin Inequality; 3.7 Summary; Chapter 4 Statistical Models for Noisy Measurements; 4.1 Conceptual Model of the Measurement Process; 4.1.1 Ontic State Space; 4.1.2 Violations of Compatibility; 4.2 Markov Models; 4.2.1 Violating KS Inequalities with Probabilistic Evolutions; 4.2.2 Violating Extended KS-Inequalities; Chapter 5 Noncontextual Evolution; 5.1 Noncontextually Evolving Systems; 5.2 Inequalities for All Noncontextually Evolving Systems; 5.2.1 Generalizing the CHSH-Inequality
5.2.2 Generalizing the Peres-Mermin Inequality5.3 An Extension of the KS-Theorem; 5.3.1 Contextually Evolving Hidden Variables; Chapter 6 Conclusion; A Some Tables of Values; A.1 Possible Values for the CHSH-Inequality; A.2 Possible Values for the CHSH*-Inequality; Bibliography