A general quantum information model for the contextual dependent systems breaking the classical probability law
作者： Ichiro Yamato , Masanori Ohya , Irina Basieva , Masanari Asano , Andrei Khrennikov
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摘要: There exist several phenomena (systems) breaking the classical probability laws. Such systems are contextual dependent adaptive systems. In this paper, we present a new mathematical formula to compute in those by using concepts of dynamics and quantum information theory -- channels lifting. The basic examples can be found physics. And recently similar were biological psychological sciences. Our novel approach is motivated traditional probability, but it general enough describe aforementioned outside
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arxiv.org参考文章(18)
Masanori Ohya, Complexities and Their Applications to Characterization of Chaos International Journal of Theoretical Physics. ,vol. 37, pp. 495- 505 ,(1998) , 10.1023/A:1026620313483
Arkady Plotnitsky, Epistemology and Probability: Bohr, Heisenberg, Schrödinger, and the Nature of Quantum-Theoretical Thinking ,(2008)
Masanari Asano, Masanori Ohya, Andrei Khrennikov, Quantum-Like Model for Decision Making Process in Two Players Game: A Non-Kolmogorovian Model Foundations of Physics. ,vol. 41, pp. 538- 548 ,(2011) , 10.1007/S10701-010-9454-Y
Masanori Ohya, On Compound State and Mutual Information in Quantum Information Theory IEEE Transactions on Information Theory. ,vol. 29, pp. 770- 774 ,(1983)
Arkady Plotnitsky, Reading Bohr: Physics and Philosophy ,(2006)
Jerome R Busemeyer, Zheng Wang, James T Townsend, None, Quantum dynamics of human decision-making Journal of Mathematical Psychology. ,vol. 50, pp. 220- 241 ,(2006) , 10.1016/J.JMP.2006.01.003
Andrzej Kossakowski, Masanori Ohya, Yoshio Togawa, How Can We Observe and Describe Chaos Open Systems & Information Dynamics. ,vol. 10, pp. 221- 233 ,(2003) , 10.1023/A:1025123923519
C. Garola, S. Sozzo, The ESR model: A proposal for a noncontextual and local Hilbert space extension of QM EPL. ,vol. 86, pp. 20009- ,(2009) , 10.1209/0295-5075/86/20009
MASANORI OHYA, Adaptive Dynamics and its Applications to Chaos and Npc Problem Quantum Bio-Informatics, From Quantum Information to Bio-Informatics. pp. 181- 216 ,(2008) , 10.1142/9789812793171_0014
Christopher A. Fuchs, Rüdiger Schack, A Quantum-Bayesian Route to Quantum-State Space Foundations of Physics. ,vol. 41, pp. 345- 356 ,(2011) , 10.1007/S10701-009-9404-8