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Publications in 2008




  1. Aerts, D. (2008). De Potentie van Mens en Maatschappij. In J. Van der Veken and H. Van Belle (Eds.), Nieuwheid denken: De wetenschappen en het creatieve aspect van de werkelijkheid. Leuven: Acco. download pdf.

  2. Aerts, S. and Aerts, D. (2008). When can a data set be described by quantum theory? In P. Bruza , W. Lawless, K. van Rijsbergen, D. Sofge, B. Coecke and S. Clark (Eds.), Proceedings of the Second Quantum Interaction Symposium, Oxford 2008, pp. 27-33. London: College Publications. download pdf.

    Abstract: There have been recent claims in various fields of research that aim to show the presence of quantum structure outside the generally accepted domain of quantum theory. We will take a pragmatic and probabilistic perspective to answer the question when it makes sense to describe a given data set by means of quantum theory.

  3. Aerts, D. and Czachor, M. (2008). Tensor-product vs. geometric-product coding. Physical Review A, 77, 012316. doi: 10.1103/PhysRevA.77.012316. download pdf.

    Abstract: Quantum computation is based on tensor products and entangled states. We discuss an alternative to the quantum framework where tensor products are replaced by geometric products and entangled states by multivectors. The resulting theory is analogous to quantum computation but does not involve quantum mechanics. We discuss in detail similarities and differences between the two approaches and illustrate the formulas by explicit geometric objects where multivector versions of the Bell-basis, GHZ, and Hadamard states are visualized by means of colored oriented polylines.

  4. Aerts, D., Czachor, M., Dehaene, J., De Moor, B., D'Hondt, E. and D'Hooghe, B. (2008). A macroscopic device for quantum computation. International Journal of Theoretical Physics, 47, 200-211. doi: 10.1007/s10773-007-9507-y. download pdf.

    Abstract: We show how a compound system of two entangled qubits in a non-product state can be described in a complete way by extracting entanglement into an internal constraint between the two qubits. By making use of a sphere model representation for the spin 1/2, we derive a geometric model for entanglement. We illustrate our approach on 2-qubit algorithms proposed by Deutsch, respectively Arvind. One of the advantages of the 2-qubit case is that it allows for a nice geometrical representation of entanglement, which contributes to a more intuitive grasp of what is going on in a 2-qubit quantum computation.

  5. Aerts, D., Dehaene, J., De Moor, B., D'Hooghe, B., Posiewnik, A. and Pykacz, J. (2008). How to play two-players restricted quantum games with 10 cards. International Journal of Theoretical Physics, 47, 61-68. doi: 10.1007/s10773-007-9466-3. download pdf.

    Abstract: We show that it is possible to play 'restricted' two-players quantum games proposed originally by Marinatto and Weber by purely macroscopic means, in the simplest case having as the only equipment a pack of 10 cards. Our example shows also that some apparently 'genuine quantum' results, even those that emerge as a consequence of dealing with entangled states, can be obtained by suitable application of Kolmogorovian probability calculus and secondary-school mathematics, without application of the 'Hilbert space machinery'.

  6. Gabora, L., Rosch, E. and Aerts, D. (2008). Toward an ecological theory of concepts. Ecological Psychology, 20, 84-116. download pdf.

    Abstract: Psychology has had difficulty accounting for the creative, context-sensitive manner in which concepts are used. We believe this stems from the view of concepts as identifiers rather than bridges between mind and world that participate in the generation of meaning. This paper summarizes the history and current status of concepts research, and provides a non-technical summary of work toward an ecological approach to concepts. We outline the rationale for applying generalizations of formalisms originally developed for use in quantum mechanics to the modeling of concepts, showing how it is because of the role of context that deep structural similarities exist between the two. A concept is defined not just in terms of exemplary states and their features or properties, but also by the relational structures of these properties, and their susceptibility to change under different contexts. The approach implies a view of mind in which the union of perception and environment drives conceptualization, forging a web of conceptual relations or 'ecology of mind'.






1978, 1979, 1980,

1981, 1982, 1983, 1984, 1985, 1986, 1987, 1988, 1989, 1990,

1991, 1992, 1993, 1994, 1995, 1996, 1997, 1998, 1999, 2000,

2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010.

2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020.









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Last modified November 5, 2009, by Diederik Aerts