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Quantum Bio-Informatics V : Proceedings of the Quantum Bio-Informatics 2011.

This volume is based on the fifth international conference of quantumbio-informatics held at the QBI Center of Tokyo University of Science. This volume provides a platform to connect mathematics, physics, information and life sciences, and in particular, research for new paradigm for information sci...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Accardi, Luigi
Otros Autores: Freudenberg, Wolfgang, Ohya, Masanori
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Singapore : World Scientific Publishing Company, 2013.
Colección:QP-PQ, quantum probability and white noise analysis.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Preface; Five Years of QBIC; 1. Aims of QBIC; 2. Solving the mystery of life; 3. Some works appeared in conference of QBIC; 3.1. Examples of researches in QBIC; 3.1.1. Concerning of the Figure above; 3.2. Concerning ; 3.3. Concerning ; 3.4. Concerning ; References; CONTENTS; Complexity Considerations Quantum Computation Luigi Accardi; 1. Introduction; 2. Simon's period-finding quantum algorithm; 2.1. Ingredients of Simon's quantum period finding algorithm (QPFA); 3. Complexity considerations on Simon's quantum period finding algorithm (QPFA).
  • 4. Classical reduction of the factorization problem to period finding4.1. Classical probabilistic factorization algorithms; References; Quantum Markov Chains and Ising Model on Cayley Tree Luigi Accardi, Farrukh Mukhamedov and Mansoor Saburov; 1. Introduction; 2. Preliminaries; 3. Construction of QMC on the Cayley tree; 4. QMC associated with Ising model and main results; 5. Diagonalizability of forward QMC; Acknowledgement; References; Mathematical Aspects of Conserved Quantities in a General Class of Quantum Systems Asao Arai; 1. Introduction.
  • 2. A Free Relativistic Quantum Particle Revisited3. Uniqueness Theorem on a Decomposition of a Linear Operator and Some Consequences; 4. Existence Theorems; 4.1. Bounded Conserved Quantities; 4.2. Unbounded Conserved Quantities; Acknowledgments; References; Oscillations and Rolling for Duffing's Equation Irina Ya. Aref 'eva, Evgeny V. Piskovskiy and Igor V. Volovich; 1. Introduction; 2. Higgs equation and anharmonic oscillator; 3. Solution to the Higgs equation; 4. Approximate solutions; 5. Nonlocal Nonlinear Equation; 6. Conclusion; Acknowledgments; References.
  • General Formalism of Decision Making Based on Theory of Open Quantum Systems Masanori Asano, Masanori Ohya, Irina Basieva and Andrei Khrennikov1. Introduction; 2. Problem solving as decoherence; 3. Dynamics of decision making; Conclusion; References; Quantum-Like Representation of Non-Bayesian Inference Masanori Asano, Masanori Ohya, Irina Basieva, Andrei Khrennikov and Yoshiharu Tanaka; 1. Bayesian inference; 2. Prediction State Vector; 3. Quantum-like Bayesian Updating; 3.1. Biased Posterior Probability; 3.2. Reliability of Knowledge; 3.3. Irrationality.
  • 4. Bayesian Updating Biased by Psychological Factor4.1. System of Psychological Factor; 4.2. Bias Operator; 4.3. Redefinition of Biased Posterior Probability; 4.4. Biased Posterior Probability by PVM Operators; References; A Mathematical Treatment of Joint and Conditional Probability Masanori Asano, Masanori Ohya, Yoshiharu Tanaka, Ichiro Yamato, Irina Besieva and Andrei Khrennikov; 1. Introduction; 2. Conditional probability and joint probability in quantum systems; 3. Liftng and joint probability; 4. Adaptive Dynamics; 5. New views of probability both in classical and quantum systems.