This book re-establishes the topic of locality in quantum mechanics, coupling the ideas of Bohr and Einstein with the modern quantum information framework. This accessible approach to quantum foundations will be of interest to graduates, Ph.D. students and researchers in fields ranging from quantum information to philosophy.
The quantum information revolution has had a huge impact not only on quantum technologies, including quantum computing and cryptography, but also on the foundations of quantum mechanics. This book presents the information viewpoint on the foundations of quantum physics by highlighting the role of complementarity and contextuality and coupling the ideas of the fathers of quantum mechanics, Bohr and Einstein, with the modern quantum information framework. The classical-quantum dilemma is resolved through an appeal to the Bild conception of scientific theories established in the 19th century by Hertz and Boltzmann. Bell inequalities are treated from the complementarity-contextuality viewpoint, supporting the attempts to discard nonlocality from quantum physics. Philosophical aspects of the topic are explored from a physicist's perspective, balancing accessibility with scientific rigour. This unique approach to quantum foundations will be of interest to graduates, Ph.D. students and researchers in fields ranging from quantum information to philosophy.
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A unique volume that re-establishes the topic of locality in quantum mechanics and represents it as a self-consistent theory.
1. Introduction to quantum measurement theory; Part I. One Quantum
Foundations:
2. Two faces of quantum nonlocality and two interpretations of
quantum state;
3. Bohr's principle of complementarity and its contextual
basis;
4. Information interpretations of quantum mechanics;
5. Quantum
postulate as the seed of complementarity principle; Part II. Bell
Inequalities:
6. Bell inequality: incompatibility vs. nonlocality;
7. Quantum
versus classical entanglement: lessons from optics;
8. Original Bell
inequality and experiment;
9. Maximal violation of original Bell inequality:
two-qubit and -qutrit states; Part III. Contextuality: Mathematical Modeling
and Interpretation:
10. Contextual approach to probability and measurement;
11. Contextual structuring of classical and quantum physics;
12. Växjö
interpretation; Part IV. Contextual Entanglement in Quantum and Classical
Physics:
13. Probabilistic entanglement of quantum observables;
14. Brownian
motion: classical and semiclassical entanglement; Part V. Hertz, Boltzmann,
Schrödinger, and De Broglie on Hidden Parameters:
15. Bild conception for
scientific theory;
16. Prequantum classical statistical field theory (PCSFT);
Part VI. Further Developments:
17. QBism vs. Ozawa's intersubjectivity
theorem;
18. Quantum-like modeling in biology, cognition, and decision
making;
19. Noncommutative probability in classical systems from experimental
contextuality; References; Index.
Andrei Khrennikov is Professor of Mathematics at Linnaeus University, Växjö, Sweden. Khrennikov is also Director of the International Center for Mathematical Modeling (ICMM), applying mathematical modeling and computer simulations to multidisciplinary studies in physics, cognitive science, economics, social science, and engineering. Andrei has been organizing the 'Växjö Conferences' on quantum foundations, information, and probability since 2000, making it the longest continuous series of conferences on the foundations of physics.
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