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|a Probing the structure of quantum mechanics :
|b nonlinearity, nonlocality, computation, axiomatics : Brussels, Belgium, June 2000 /
|c editors, Diederik Aerts, Marek Czachor, Thomas Durt.
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|a Quantum mechanics
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|a River Edge, NJ :
|b World Scientific,
|c ©2002.
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|a 1 online resource (vi, 393 pages) :
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|a Probing the structure of quantum mechanics / D. Aerts, M. Czachor and T. Durt -- The linearity of quantum mechanics at stake: the description of separated quantum entities / D. Aerts and F. Valckenborgh -- Linearity and compound physical systems: the case of two separated spin 1/2 entities / D. Aerts and F. Valckenborgh -- Being and change: foundations of a realistic operational formalism / D. Aerts -- The classical limit of the lattice-theoretical orthocomplementation in the framework of the hidden-measurement approach / T. Durt and B. D'Hooghe -- State property systems and closure spaces: extracting the classical en non-classical parts / D. Aerts and D. Deses -- Hidden measurements from contextual axiomatics / S. Aerts -- High energy approaches to low energy phenomena in astrophysics / S.M. Austin -- Memory effects in atomic interferometry: a negative result / T. Durt [and others] -- Reality and probability: introducing a new type of probability calculus / D. Aerts -- Quantum computation: towards the construction of a 'between quantum and classical computer' / D. Aerts and B. D'Hooghe -- Buckley-Siler connectives for quantum logics of fuzzy sets / J. Pykacz and B. D'Hooghe -- Some notes on Aerts' interpretation of the EPR-paradox and the violation of Bell-inequalities / W. Christiaens -- Quantum cryptographic encryption in three complementary bases through a Mach-Zehnder set up / T. Durt and B. Nagler -- Quantum cryptography without quantum uncertainties / T. Durt -- How to construct Darboux-invariant equations of von Neumann type / J.L. Cieslinski -- Darboux-integrable equations with non-Abelian nonlinearities / N.V. Ustinov and M. Czachor -- Dressing chain equations associated with difference soliton systems / S. Leble -- Covariance approach to the free photon field / M. Kuna and J. Naudts.
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|a During the last decade, scientists working in quantum theory have been engaging in promising new fields such as quantum computation and quantum information processing, and have also been reflecting on the possibilities of nonlinear behavior on the quantum level. These are challenging undertakings because (1) they will result in new solutions to important technical and practical problems that were unsolvable by the classical approaches (for example, quantum computers can calculate problems that are intractable if one uses classical computers); and (2) they open up new 'hard' problems of a fundamental nature that touch the foundation of quantum theory itself (for example, the contradiction between locality and nonlinearity and the interpretation of quantum computing as a universal process). In this book, one can distinguish two main streams of research to approach the just-mentioned problem field: (1) a theoretical structural part, which concentrates on the elaboration of a nonlinear quantum mechanics and the fundamentals of quantum computation; and (2) a theoretical experimental part, which focuses on the theoretical aspects of applications that arise from new technology and novel research perspectives such as quantum optics and quantum cryptography. Particular attention is also paid to the measurement problem, the classical limit and alternative interpretations (such as the hidden measurement approach).
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|a Quantum theory.
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|t Probing the structure of quantum mechanics.
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