Masanori Ohya
Encyclopedia
is a Japanese mathematician
.
After he revieved a Ph.D. in Mathematical Physics
and Information Science
and Dr.Sc., he continuously worked on operator algebra
, Quantum
Entropy
, quantum information theory and bio-information. He achieved results in the fields of Quantum Information
and mathematical physics
. In particular, he introduced the quantum mutual entropy.
He also proposed Information Dynamics and Adaptive Dynamics, which enabled the study of Chaos theory
, quantum information
and bio
sciences altogether.
(1) Elucidation of Mathematical Bases of Quantum Channels,
(2) Formulation of Quantum Mutual Information (Entropy),
(3) Information Dynamics,
(4) Analysis of Quantum Teleportation,
(5) Quantum Algorithm,
(6) Proposal of Adaptive Dynamics,
(7) Life Science.
They are explained in the book .
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....
.
After he revieved a Ph.D. in Mathematical Physics
Mathematical physics
Mathematical physics refers to development of mathematical methods for application to problems in physics. The Journal of Mathematical Physics defines this area as: "the application of mathematics to problems in physics and the development of mathematical methods suitable for such applications and...
and Information Science
Information science
-Introduction:Information science is an interdisciplinary science primarily concerned with the analysis, collection, classification, manipulation, storage, retrieval and dissemination of information...
and Dr.Sc., he continuously worked on operator algebra
Operator algebra
In functional analysis, an operator algebra is an algebra of continuous linear operators on a topological vector space with the multiplication given by the composition of mappings...
, Quantum
Quantum
In physics, a quantum is the minimum amount of any physical entity involved in an interaction. Behind this, one finds the fundamental notion that a physical property may be "quantized," referred to as "the hypothesis of quantization". This means that the magnitude can take on only certain discrete...
Entropy
Entropy
Entropy is a thermodynamic property that can be used to determine the energy available for useful work in a thermodynamic process, such as in energy conversion devices, engines, or machines. Such devices can only be driven by convertible energy, and have a theoretical maximum efficiency when...
, quantum information theory and bio-information. He achieved results in the fields of Quantum Information
Quantum information
In quantum mechanics, quantum information is physical information that is held in the "state" of a quantum system. The most popular unit of quantum information is the qubit, a two-level quantum system...
and mathematical physics
Mathematical physics
Mathematical physics refers to development of mathematical methods for application to problems in physics. The Journal of Mathematical Physics defines this area as: "the application of mathematics to problems in physics and the development of mathematical methods suitable for such applications and...
. In particular, he introduced the quantum mutual entropy.
He also proposed Information Dynamics and Adaptive Dynamics, which enabled the study of Chaos theory
Chaos theory
Chaos theory is a field of study in mathematics, with applications in several disciplines including physics, economics, biology, and philosophy. Chaos theory studies the behavior of dynamical systems that are highly sensitive to initial conditions, an effect which is popularly referred to as the...
, quantum information
Quantum information
In quantum mechanics, quantum information is physical information that is held in the "state" of a quantum system. The most popular unit of quantum information is the qubit, a two-level quantum system...
and bio
Bio
Bio may refer to:*Bio., Australian pay-TV channel*The Biography Channel, an American cable channel sometimes called bio*Bio , graffiti artist*Bio , a Chuck Berry album released in 1973 by Chess Records...
sciences altogether.
Main research
Ohya studied multiple topics for more than thirty years, relating to quantum entropy, quantum information, chaos dynamics and life science. His main accomplishments are as follows:(1) Elucidation of Mathematical Bases of Quantum Channels,
(2) Formulation of Quantum Mutual Information (Entropy),
(3) Information Dynamics,
(4) Analysis of Quantum Teleportation,
(5) Quantum Algorithm,
(6) Proposal of Adaptive Dynamics,
(7) Life Science.
They are explained in the book .
Main articles
- T.Hara, K.Sato and M.Ohya (2010) MTRAP: Pairwise sequence alignment algorithm by a new measure based on transition probability between two consecutive pairs of residues, BMC bioinformatics, 11, 1, 235.
- W.A. Majewski, T.Matsuoka, and M.Ohya (2009) Characterization of partial positive transposition states and measures of entanglement, JOURNAL OF MATHEMATICAL PHYSICS, 50, 113509
- A.Kossakowski, M.Ohya (2006) Can Non-Maximal Entangled State Achieve a Complete Quantum Teleportation?, Reconsideration of Foundation-3, American Institute of Physics, 810, 211-216.
- S.Iriyama, M.Ohya and I.V.Volovich (2006) Generalized Quantum Turing Machine and its Application to the SAT Chaos Algorithm, QP-PQ:Quantum Prob. White Noise Anal., Quantum Information and Computing, 19, World Sci. Publishing, 204-225.
- V.P.Belavkin and M.Ohya (2002) Quantum entanglement and entangled mutual entropy, Proceedings of the Royal Society of London, Vol. 458, 29-231, 2002.
- K-H.Fichtner and M.Ohya (2001) Quantum teleportation and beam splitting, Quantum teleportation with entangled states given by beam splittings, Commun. Math. Phys., Vol 225, 67-89 and Vol 222, 229-247.
- M.Ohya and N.Masuda (2000) NP problem in quantum algorithm, Open Systems and Information Dynamics, 7, No.1, 33-39.
- L.Accardi and M.Ohya (1999) Compound channels, transition expectations, and liftings, Appl. Math. Optim., 39, 33-59.
- M.Ohya (1998) Complexities and their applications to characterization of chaos, International Journal of Theoretical Physics, 37, No.1, 495-505.
- M.Ohya (1989) Some aspects of quantum information theory and their applications to irreversible processes, Rep. Math. Phys., 27, 19-47.
- M.Ohya (1984) Entropy Transmission in C*-dynamical systems, J. Math. Anal.Appl., 100, No.1, 222-235.
- M.Ohya (1983) On compound state and mutual information in quantum information theory, IEEE Trans. Information Theory, 29, No.5, 770-774.
- F.Hiai, M.Ohya and M.Tsukada (1981) "Sufficiency, KMS condition and relative entropy in von Neumann algebras" and "Sufficiency and relative entropy in *-algebras with applications in quantum systems", Pacific J. Math., 96, No.1, 99-109 and 107, No.1, 117-140.
- M.Ohya (1981) Quantum ergodic channels in operator algebras, J. Math. Anal. Appl. 84, No.2, 318-327.
Books (English only)
- M.Ohya and D.Petz (1993) Quantum Entropy and its Use, Springer-Verlag, TMP-series.
- R.S.Ingarden, A.Kossakowski and M.Ohya (1997), Information Dynamics and Open Systems, Kluwer Academic Publishers.
- M.Ohya (1999), Mathematical foundation of quantum computer, Maruzen-Publ.Company