Utility and value of information in cognitive science, biology and quantum theory.
Belavkin, Roman V. (2010) Utility and value of information in cognitive science, biology and quantum theory. In: Quantum bio-informatics III: from quantum information to bio-informatics. Accardi, Luigi, Freudenberg, Wolfgang and Ohya, Masanori, eds. QP-PQ: Quantum Probability and White Noise Analysis (26). World Scientific, London. ISBN 9789814304054
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A generalisation of the concepts utility and information value is given for the non-commutative case. In particular, states and utility operators are considered in dual linear spaces equipped with pre-orders, generated by a wedge of utility operators. It is shown that solutions to the information value problem give rise to an isotone Galois connection between the pre-ordered spaces. A particular form of this connection depends on the choice of a functional representing information resource. The properties of information resource are discussed from the point of information value theory, and an example is presented that generalises several known forms of classical and quantum information. Potential areas of application of information value in cognitive science, biology and quantum theory are discussed.
|Item Type:||Book Section|
Conference held at Tokyo University of Science, Japan, 11 – 14 March 2009.
|Research Areas:||Science & Technology > Science & Technology|
Science & Technology > Mathematics & Statistics
|Deposited On:||23 Mar 2010 16:21|
|Last Modified:||10 Jun 2013 05:40|
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