Contextual Reinterpretation of Quantum Nonlocality

A unique volume that re-establishes the topic of locality in quantum mechanics and represents it as a self-consistent theory.

Andrei Khrennikov (Author)

9781009313476, Cambridge University Press

Hardback, published 5 December 2024

332 pages
25 x 17.5 x 2.4 cm, 0.73 kg

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.

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.

Subject Areas: Quantum physics [quantum mechanics & quantum field theory PHQ]