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

Author: Luigi Accardi; Wolfgang Freudenberg; Masanori Ohya
Publisher: Singapore : World Scientific Publishing Company, 2013.
Series: QP-PQ, quantum probability and white noise analysis.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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 science and life science on the basis of quantum theory. The following topics are discussed: Cryptographic algorithms;  Read more...
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Genre/Form: Electronic books
Conference papers and proceedings
Congresses
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Luigi Accardi; Wolfgang Freudenberg; Masanori Ohya
ISBN: 9789814460026 9814460028
OCLC Number: 841913834
Description: 1 online resource (504 pages).
Contents: 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.
Series Title: QP-PQ, quantum probability and white noise analysis.

Abstract:

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 science and life science on the basis of quantum theory. The following topics are discussed: Cryptographic algorithms; Quantum algorithm and computation; Quantum entanglement; Quantum entropy and information dynamics; Quantum dynamics and time operator; Stochastic dynamics and white noise analysis; Brain.

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