By Kirsty Kitto, Fabio Boschetti, Peter Bruza (auth.), Jerome R. Busemeyer, François Dubois, Ariane Lambert-Mogiliansky, Massimo Melucci (eds.)
This publication constitutes the refereed lawsuits of the sixth overseas Symposium on Quantum interplay, QI 2012, held in Paris in June 2012. The 21 revised complete papers awarded have been conscientiously reviewed and chosen from 32 submissions. The papers disguise quite a few subject matters on quantum interaction.
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Additional resources for Quantum Interaction: 6th International Symposium, QI 2012, Paris, France, June 27-29, 2012, Revised Selected Papers
For the theory underlying quantum interaction, it is important to develop a core set of mathematical operators that describe systems of information, just as core mathematical operators in quantum mechanics are used to describe the behavior of physical systems. The system described in this paper enables us to compare more traditional quantum mechanical models (which use complex state vectors), alongside more generalized quantum models that use real and binary vectors. The implementation of such a system presents fundamental computational challenges.
While these vectors are therefore not sparse in the sense of having mostly zero values, the space is sparsely occupied in the sense that elemental vectors tend to be far apart from one another. 7 percent of elemental vectors having a HD from one another of between 4700 and 5300. This sparseness of the space confers a level of robustness to the model, as an elemental vector can be distorted considerably while remaining closer to its original self than to any other elemental vector in the space. Superposition of binary vectors occurs by summing up the number of 1’s and 0’s in each dimension across all of the binary vectors added.
Using a well-studied data set with 16 exemplars that exhibit the Guppy Eﬀect, we developed a 17-dimensional complex Hilbert space H that models the data and demonstrates the relationship between overextension and interference. We view the interference eﬀect as, not a logical fallacy on the conjunction, but a signal that out of the two constituent concepts, a new concept has emerged. Keywords: theory of concepts, quantum cognition, Guppy eﬀect, concept combination, interference. 1 The Guppy Eﬀect – Introduction A concrete formal understanding of how concepts combine is vital to signiﬁcant progress in many ﬁelds including psychology, linguistics, and cognitive science.
Quantum Interaction: 6th International Symposium, QI 2012, Paris, France, June 27-29, 2012, Revised Selected Papers by Kirsty Kitto, Fabio Boschetti, Peter Bruza (auth.), Jerome R. Busemeyer, François Dubois, Ariane Lambert-Mogiliansky, Massimo Melucci (eds.)