## Quantum Bioinformatics FourThe purpose of this proceedings volume is to return to the starting point of bio-informatics and quantum information, fields that are growing rapidly at present, and to seriously attempt mutual interaction between the two, with a view to enumerating and solving the many fundamental problems they entail. For such a purpose, we look for interdisciplinary bridges in mathematics, physics, information and life sciences, in particular, research for new paradigm for information science and life science on the basis of quantum theory. |

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### Contents

The QPDYN Algorithms L Accardi M Regoli and M Ohya | 1 |

Study of Transcriptional Regulatory Network Based on Cis Module Database S Akasaka T Urushibam T Suzuki and S Miyazaki | 17 |

On Lie GroupLie Algebra Correspondences of Unitary Groups in Finite von Neumann Algebras H Ando 1 Ojima and Y Matsuzawa | 29 |

On a General Form of Time Operators of a Hmiltonian with Purely Discrete Spectrum A Ami | 41 |

Quantum Uncertainty and Decisionmaking in Game Theory M Asano M Ohya Y Tanaka A Khrennikov and 1 Basieva | 51 |

New Types of Quantum Entropies and Additive Information Capacities V P Belavkin | 61 |

NonMarkovian Dynamics of Quantum Systems D Chrusciriski and A Kossakowski | 91 |

Selfcollapses of Quantum Systems and Brain Activities KH Fichtner L Fichtner W Freudenberg and M Ohya | 101 |

On Kadison Schwarz Property of Quantum Quadratic Operators on M2 C F Mukhamedov and A Abduganiev | 255 |

On Phase Transitions in Quantum Markov Chains on Cayley Tree L Accardi F Mukhamedov and M Saburov | 267 |

Space Time Emergence as Symmetry Breaking Effect I Ojima | 279 |

Use of Cryptographic Ideas to Interpret Biological Phenomena and Vice Versa M Regoli | 291 |

Discrete Approximation to Operators in White Noise Analysis Si Si | 311 |

Bogoliubov Type Equations via Infinitedimensional Equations for Measures V V Kozlov and O G Smolyanov | 321 |

Analysis of Several Categorical Data Using Measure of Proportional Reduction in Variation K Yamamoto K Tahata N Miyamoto and S Tomizawa | 339 |

The Electron Reservoir Hypothesis for Twodimensional Electron Systems K Yamada T Uchida M Fujita H Koizumi and T Toyoda | 355 |

Statistical Analysis of Random Number Generators L Accardi and M Gabler | 117 |

Entangled Effects of Two Consecutive Pairs in Residues and Its Use in Alignment T Ham K Sato and M Ohya | 129 |

The Passage from Digital to Analogue in White Noise Analysis and Applications T Hida | 137 |

Remarks on the Degree of Entanglement D Chrusciriski Y Hirota T Matsuoka and M Ohya | 145 |

A Completely Discrete Particle Model Derived from a Stochastic Partial Differential Equation by Point Systems KH Fichtner K Inoue and M Ohya | 157 |

On Quantum Algorithm for Exptime Problem S Iriyama and M Ohya | 173 |

On Sufficient Algebraic Conditions for Identification of Quantum States A J amiolkowski | 185 |

Concurrence and Its Estimations by Entanglement Witnesses J Jurkowski | 199 |

Classical Wave Model of Quantumlike Processing in Brain A Khrennikov | 209 |

Entanglement Mapping vs Quantum Conditional Probability Operator D Chrusciriski A Kossakowski T Matsuoka and M Ohya | 223 |

Constructing Multipartite Entanglement Witnesses M Michalski | 237 |

On the Correspondence between Newtonian and Functional Mechanics E V Piskovskiy and I V Volovich | 363 |

An Approach for the Interspecies Comparison of Promoter Architecture in Eukaryotes K Feldmeier J Kilian K Harter D Wanke and K W Berendzen | 373 |

Entropy Type Complexities in Quantum Dynamical Processes N Watanabe | 387 |

A Fair Sampling Test for Ekert Protocol G Adenier A Yu Khrennikov and N Watanabe | 403 |

Brownian Dynamics Simulation of Macromolecule Diffusion in a Protocell T A ndo and J Skolnick | 413 |

Key Roles of Calcium Ion K K uchitsu and T K urusu | 427 |

A Tool for Displaying and Analyzing Complex Networks M J Barber L Streit and O Strogan | 437 |

Study of HIV1 Evolution by Coding Theory and Entropic Chaos Degree K Sato | 451 |

The Prediction of Botulinum Toxin Structure Based on in Silico and in Vitro Analysis T Suzuki and S Miyazaki | 461 |

On the Mechanism of Dwave High Tc Superconductivity by the Interplay of JahnTeller Physics and Mott Physics H Ushio S Matsuno and H Kamimura | 469 |

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