Beyond Quantum

The Present Wave Of Interest In Quantum Foundations Is Caused By The Tremendous Development Of Quantum Information Science And Its Applications To Quantum Computing And Quantum Communication. Nowadays, This Interest Has Increased Even More Because It Has Become Clear That Some Of The Difficulties Encountered In The Realization Of Quantum Information Processing (especially Creation Of Quantum Computers And Designing Of New Quantum Algorithms) Are Not Simply Technicalities But Have Roots At The Very Fundamental Level. To Solve Such Problems, Quantum Theory Has To Be Reconsidered. The Present Book Is Devoted To The Analysis Of The Probabilistic Structure Of Quantum Theory And Probes The Limits Of Classical Probabilistic Representation Of Quantum Phenomena.--page 4 Of Cover. Introduction -- Conventional Quantum Theory : Fundamentals -- Fundamentals Of Prequantum Classical Statistical Field Theory -- Prequantum Dynamics From Hamiltonian Equations On The Infinite-dimensional Phase Space -- Quantum Mechanics As Approximation Of Statistical Mechanics Of Classical Fields -- Supplementary Mathematical Considerations -- Mathematical Presentation For Composite Systems -- Phenomenological Detection Model -- Quantum Individual Events. Andrei Khrennikov. Includes Bibliographical References (pages 341-363) And Index. The present wave of interest in quantum foundations is caused by the tremendous development of quantum information science and its applications to quantum computing and quantum communication. It has become clear that some of the difficulties encountered in realizations of quantum information processing have roots at the very fundamental level. To solve such problems, quantum theory has to be reconsidered. This book is devoted to the analysis of the probabilistic structure of quantum theory, probing the limits of classical probabilistic representation of quantum phenomena Content: 1. Introduction -- 2. Conventional quantum theory : fundamentals -- 3. Fundamentals of prequantum classical statistical field theory -- 4. Prequantum dynamics from Hamiltonian equations on the infinite-dimensional phase space -- 5. Quantum mechanics as approximation of statistical mechanics of classical fields -- 6. Supplementary mathematical considerations -- 7. Mathematical presentation for composite systems -- 8. Phenomenological detection model -- 9. Quantum individual events.