LEADER 05596nam 2200697 a 450 001 9910452376903321 005 20200520144314.0 010 $a1-299-46285-5 010 $a981-4460-02-8 035 $a(CKB)2550000001019268 035 $a(EBL)1168148 035 $a(OCoLC)841913834 035 $a(SSID)ssj0000856635 035 $a(PQKBManifestationID)11469841 035 $a(PQKBTitleCode)TC0000856635 035 $a(PQKBWorkID)10818640 035 $a(PQKB)11394977 035 $a(MiAaPQ)EBC1168148 035 $a(WSP)00002958 035 $a(Au-PeEL)EBL1168148 035 $a(CaPaEBR)ebr10691981 035 $a(CaONFJC)MIL477535 035 $a(EXLCZ)992550000001019268 100 $a20130204d2013 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aQuantum bio-informatics V$b[electronic resource] $eproceedings of the Quantum Bio-informatics 2011, Tokyo University of Science, Japan, 7 - 12 March 2011 /$fedited by Luigi Accardi, Wolfgang Freudenberg, Masanori Ohya 210 $aSingapore $cWorld Scientific$d2013 215 $a1 online resource (504 p.) 225 1 $aQP-PQ: quantum probability and white noise analysis ;$vvol. 30 300 $aDescription based upon print version of record. 311 $a981-4460-01-X 320 $aIncludes bibliographical references. 320 $aIncludes bibliographical references. 327 $aPreface; 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) 327 $a4. 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 327 $a2. 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 327 $aGeneral 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 327 $a4. 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 327 $aReferences 330 $aThis volume is based on the fifth international conference of quantumbio-informatics held at the QBI Center of Tokyo University of Science.This volume provides a platform to connect mathematics, physics, information and life sciences, and in particular, research for new paradigm for information science and life science on the basis of quantum theory.The following topics are discussed: Cryptographic algorithms; Quantum algorithm and computation; Quantum entanglement; Quantum entropy and information dynamics; Quantum dynamics and time operator; Stochastic dynamics and white noise analysis; Brain 410 0$aQP-PQ, quantum probability and white noise analysis ;$vv. 30. 606 $aBioinformatics$vCongresses 606 $aQuantum theory$vCongresses 608 $aElectronic books. 615 0$aBioinformatics 615 0$aQuantum theory 676 $a572.80285 701 $aAccardi$b L$g(Luigi),$f1947-$0319693 701 $aFreudenberg$b Wolfgang$0925476 701 $aOhya$b Masanori$f1947-$0925477 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910452376903321 996 $aQuantum bio-informatics V$92078083 997 $aUNINA