Accardi L., Freudenberg W., Obya M. (Eds.) Quantum Bio-informatics IV: From Quantum Information to Bio-informatics
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Quantum
Bio-Informatics
IV
From Quantum Information
to Bio-Informatics
QP-PQ:
Quantum Probability and White Noise Analysis*
Managing Editor:
W.
Freudenberg
Advisory Board Members:
L.
Accardi,
T.
Hida,
R.
Hudson and
K.
R.
Parthasarathy
QP-PQ:
Quantum Probability and White Noise Analysis
Vol. 28: Quantum Bio-Informatics IV
eds.
L.
Accardi,
W.
Freudenberg
and
M. Ohya
Vol. 27: Quantum Probability and Related Topics
eds.
R.
Reballeda
and
M.
Orszag
Vol. 26: Quantum Bio-Informatics III
From Quantum Information to Bio-Informatics
eds.
L.
Accardi,
W.
Freudenberg
and
M. Ohya
Vol. 25: Quantum Probability and Infinite Dimensional Analysis
Proceedings of the 29th Conference
eds.
H.
Ouerdiane
and
A.
Barhaumi
Vol. 24: Quantum Bio-Informatics
II
From Quantum Information to Bio-informatics
eds.
L.
Accardi,
W.
Freudenberg
and
M.
Ohya
Vol. 23: Quantum Probability and Related Topics
eds.
J.
C.
Garcia,
R.
Quezada
and
S.
B.
Santz
Vol. 22: Infinite Dimensional Stochastic Analysis
eds. A.
N.
Sengupta
and
P.
Sundar
Vol. 21: Quantum Bio-Informatics
From Quantum
Information to Bio-Informatics
eds.
L.
Accardi,
W.
Freudenberg
and
M. Ohya
Vol. 20: Quantum Probability and Infinite Dimensional Analysis
eds.
L.
Accardi,
W.
Freudenberg
and
M.
Schilrmann
Vol. 19: Quantum Information and Computing
eds.
L.
Accardi,
M.
Ohya
and
N.
Watanabe
Vol. 18: Quantum Probability and Infinite-Dimensional Analysis
From Foundations to Applications
eds. M.
Schilrmann
and
U.
Franz
Vol. 17: Fundamental Aspects of Quantum Physics
eds.
L.
Accardi
and
S.
Tasaki
Vol. 16: Non-Commutativity, Infinite-Dimensionality, and Probability
at the Crossroads
eds.
N.
Obata,
T.
Matsui
and
A. Hara
Vol. 15: Quantum Probability and Infinite-Dimensional Analysis
ed.
W.
Freudenberg
*For the complete list of the published titles
in
this series, please visit:
www.worldscibooks.com/series/qqpwna_series.shtml
QP-PQ
Quantum Probability and White Noise
Analysis
Volume XXVIII
Juantum
Bio-liljormatics
IV
From Quantum Information
to Bio-Informatics
Tokyo University
of
Science, Japan
10 -
13
March 2010
Editors
Luigi Accardi
Universita di Roma "Tor Vergata ", Italy
Wolfgang Freudenberg
Brandenburgische Technische Universitat Cottbus, Germany
Masanori Obya
Tokyo University o/Science, Japan
'~world
Scientific
NEW
JERSEY·
LONDON·
SINGAPORE·
BEIJING·
SHANGHAI·
HONG
KONG·
TAIPEI·
CH
ENNAI
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by
World Scientific Publishing Co. Pte. Ltd.
5 Toh Tuck Link, Singapore 596224
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UK
o.ffice: 57 Shelton Street, Covent Garden, London WC2H 9HE
British
Library
Cataloguing-in-Publication Data
A catalogue record for this book
is
available from the British Library.
QUANTUM BIO-INFORMATICS IV
QP-PQ:
Quantum
Probability
and
White Noise Analysis - Vol.
28
Copyright © 2011 by World Scientific Publishing Co. Pte. Ltd.
All
rights reserved. This
bo.o.k,
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parts
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ISBN-13 978-981-4343-75-6
ISBN-lO 981-4343-75-7
Printed in
Singapore by Mainland Press Pte Ltd.
Quantum
Bio-Informatics
IV
eds. L.
Accardi,
W.
Freudenberg
and
M.
Ohya
© 2011
World
Scientific
Publishing
Co. (p. v)
PREFACE
This
volume is based on
the
fourth
international
conference
of
quantum
bio-informatics held
at
the
QBI
Center
of Tokyo University
of
Sciences.
The
purpose
of
the
conference is towards new stage making interdis-
ciplinary 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.
More
than
100 researchers in various fields such as
mathematics,
physics,
information
and
biology come from all over
the
world.
The
conference was
held for nearly one week,
and
we
had
a lot
of
fruitful discussion.
In
this
fourth
conference,
particular
attention
is come
up
on
quantum
entangle-
ment,
simulation
of
bio-systems,
brain
function,
quantum
like dynamics
and
adaptive
systems. Most of speakers gave care
to
the
relation between
their
own topics
and
the
mystery
of
life.
The
papers
submitted
in
this
volume
are
all referred, whose contents
are
related
to
one
of
the
following subjects:
(1)
Mathematics
of
Cryptography
and
its
related
topics
(2)
Quantum
algorithm
and
computation
(3)
Quantum
entanglement
(4)
Quantum
entropy
and
information dynamics
(5)
Quantum
dynamics
and
time
operator
(6) Stochastic dynamics
and
white noise analysis
(7)
Brain
activity
(8)
Quantum
like models
and
PD
game
(9)
Quantum
physics
and
superconductivity
(10)
Quantum
tomography
and
sufficiency
(11)
Adaptation
in
Plants
(12) Alignment of sequences
v
Luigi Accardi
Wolfgang Freudenberg
Masanori
Ohya
This page intentionally left blankThis page intentionally left blank
Quantum
Bio-Informatics
IV
eds. L. Acc
ardi,
W. Freudenberg
and
M.
Ohy
a
©
2011
World
Scientific
Publishing
Co.
(pp.
vii-
x)
CONTENTS
Preface
The
QP-DYN
Algorithms
L. Accardi,
M.
Regoli and
M.
Ohya
Study
of
Transcriptional
Regulatory
Network
Bas
ed
on
Cis
Module
Database
S. Akasaka,
T.
Urushibam,
T.
Suzuki and S. Miyazaki
On
Lie Group-Lie Alge
bra
Correspond
ences
of
Unitary
Groups
in
v
1
17
Finite
von
Neumann
Algebras 29
H.
Ando,
1.
Ojima and
Y.
Matsuzawa
On
a
General
Form
of
Tim
e
Operators
of
a
Hmiltonian
with
Purely
Discrete
Spectrum
41
A.
Ami
Quantum
Uncertainty
and
Decision-making in
Game
Theory
51
M.
Asano,
M.
Ohya,
Y.
Tanaka,
A.
Khrennikov and
1.
Basieva
New
Types
of
Quantum
Entropies
and
Additive
Information
Capacities
V.
P. Belavkin
Non-Markovian
Dynamics
of
Quantum
Systems
D. Chrusciriski and A. Kossakowski
Self-collapses
of
Quantum
Systems
and
Brain
Activities
K.-H. Fichtner, L. Fichtner,
W.
Freudenberg and
M.
Ohya
vii
61
91
101
viii
Statistical
Analysis
of
Random
Number
Generators
117
L. Accardi and M. Gabler
Entangled
Effects
of
Two Consecutive
Pairs
in
Residues
and
Its
Use
in
Alignment 129
T.
Ham
, K. Sato and M. Ohya
The
Passage from Digital
to
Analogue in
White
Noise Analysis
and
Applications 137
T.
Hida
Remarks on
the
Degree of
Entanglement
145
D.
Chrusciriski,
Y.
Hirota,
T.
Matsuoka and M. Ohya
A Completely Discrete
Particle
Model Derived from a Stochastic
Partial
Differential
Equation
by
Point
Systems 157
K.-H. Fichtner, K. Inoue and M. Ohya
On
Quantum
Algorithm
for
Exptime
Problem
173
S. Iriyama and M. Ohya
On
Sufficient Algebraic Conditions for
Id
entification
of
Quantum
States
185
A.
J amiolkowski
Concurrence
and
Its
Estimations
by
Entanglement
Witnesses 199
J.
Jurkowski
Classical Wave Model
of
Quantum-like
Processing in
Brain
209
A.
Khrennikov
Entanglement
Mapping
vs.
Quantum
Conditional
Probability
Operator
D.
Chrusciriski, A. Kossakowski,
T.
Matsuoka and M. Ohya
223
ix
Constructing
Multipartite
Entanglement
Witnesses 237
M.
Michalski
On
Kadison- Schwarz
Property
of
Quantum
Quadratic
Operators
on
M
2
(C) 255
F.
Mukhamedov and A. Abduganiev
On
Phase
Transitions in
Quantum
Markov Chains
on
Cayley Tree 267
L. Accardi,
F.
Mukhamedov and
M.
Saburov
Space( -
Tim
e) Emergence as
Symmetry
Breaking Effect 279
1.
Ojima
Use
of
Cryptographic
Ideas
to
Interpret
Biological
Phenomena
(and Vice Versa)
291
M. Regoli
Discrete
Approximation
to
Operators
in
White
Noise Analysis 311
Si Si
Bogoliubov
Type
Equations
via Infinite-dimensional
Equations
for Measures
V.
V.
Kozlov and
O.
G. Smolyanov
Analysis
of
Several Categorical
Data
Using Measure
of
321
Proportional
Reduction
in Variation 339
K. Yamamoto, K. Tahata,
N.
Miyamoto and
S.
Tomizawa
The
Electron
Reservoir Hypothesis for Two-dimensional
Electron
Systems
K. Yamada,
T.
Uchida,
M.
Fujita,
H.
Koizumi
and
T.
Toyoda
On
the
Correspondence between
Newtonian
and
Functional
Mechanics
E.
V.
Piskovskiy and
1.
V.
Volovich
355
363