Utility and value of information in cognitive science, biology and quantum theory.
Conference paper
Belavkin, R. 2010. Utility and value of information in cognitive science, biology and quantum theory. Accardi, L., Freudenberg, W. and Ohya, M. (ed.) Quantum Bio-Informatics III. Tokyo, Japan 11 - 14 Mar 2009 London World Scientific. pp. 33-47 https://doi.org/10.1142/9789814304061_0004
| Type | Conference paper |
|---|---|
| Title | Utility and value of information in cognitive science, biology and quantum theory. |
| Authors | Belavkin, R. |
| Abstract | 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. |
| Keywords | Information value; Utility; Quantum information |
| Research Group | Artificial Intelligence group |
| Conference | Quantum Bio-Informatics III |
| Page range | 33-47 |
| Proceedings Title | Quantum bio-informatics III: from quantum information to bio-informatics |
| Series | QP-PQ: Quantum Probability and White Noise Analysis |
| Editors | Accardi, L., Freudenberg, W. and Ohya, M. |
| ISSN | 1793-5121 |
| ISBN | |
| Hardcover | 9789814304054 |
| Electronic | 9789814465168 |
| Publisher | World Scientific |
| Place of publication | London |
| Publication dates | |
| Jan 2010 | |
| Publication process dates | |
| Deposited | 23 Mar 2010 |
| Output status | Published |
| Additional information | Conference held at Tokyo University of Science, Japan, 11 – 14 March 2009. |
| Digital Object Identifier (DOI) | https://doi.org/10.1142/9789814304061_0004 |
| Web of Science identifier | WOS:000282066800004 |
| Web address (URL) of conference proceedings | https://doi.org/10.1142/7708 |
| Language | English |
| Book title | Quantum bio-informatics III: from quantum information to bio-informatics. |
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