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Year 2018, Volume: 1 Issue: 1, 1 - 5, 30.06.2018
https://doi.org/10.33401/fujma.404385

Abstract

References

  • [1] L. Accardi and Fedullo A. On the statistical meaning of complex numbers in quantum mechanics. Il Nuovo Cimento, 34(7):161–172, October 1982.
  • [2] Luigi Accardi. Axioms for quantum probability. In Quantum Probabilty, volume 73 of Banach Center Publications, page 1. Polish Academy of Sciences, 2006.
  • [3] R. J. Greechie and S. P. Gudder. Quantum logics. In C.A. Hooker, editor, Contemporary Research in the Foundations and Philosophy of Quantum Theory, pages 143–173. Reidel, Dordrecht, 1973.
  • [4] Matthias Kleinmann, Otfried Guehne, Jose R. Portillo, Jan-Ake Larsson, and Adan Cabello. Memory cost of quantum contextuality. New Journal of Physics, 13:113011, 2011.
  • [5] F.W. Lancaster. Information Retrieval Systems: Characteristics, Testing and Evaluation. Wiley, New York, 1968.
  • [6] Yeong-Cherng Liang, Robert W. Spekkens, and Howard M. Wiseman. Specker’s parable of the overprotective seer: a road to contextuality, nonlocality and complementarity. Phys. Rep., 506(1-2):1–39, 2011.
  • [7] Massimo Melucci. When Index Term Probability Violates the Classical Probability Axioms Quantum Probability can be a Necessary Theory for Information Retrieval.
  • [8] Benjamin Piwowarski, Ingo Frommholz, Mounia Lalmas, and Keith van Rijsbergen. Exploring a multidimensional representation of documents and queries. In Proceedings of RIAO, 2010.
  • [9] Stephen Robertson. On event spaces and probabilistic models in information retrieval, presented at. In SIGIR 2002 Workshop on Mathematical/Formal Methods in Information Retrieval, 2004.
  • [10] Karl Svozil. Quantum information via state partitions and the context translation principle. Journal of Modern Optics, 51:811–819, 2004.
  • [11] Karl Svozil. How much contextuality? Natural Computing, Online First(nn):nn–nn, 2012.
  • [12] Robert S. Taylor. Process of asking questions. American Documentation, 13:391–396, October 1962.
  • [13] Paolo Zanardi. Virtual quantum subsystems. Phys.Rev.Lett., 87:077901, 2001.
  • [14] Roman Zapatrin. Factory of realities: on the emergence of virtual spatiotemporal structures. In: ”Beyond Peaceful Coexistence: The Emergence of Space, Time and Quantum”, Ignazio Licata, Ed., World Scientific (2016), pp. 201–220, 2016.

Quantum contextuality in classical information retrieval

Year 2018, Volume: 1 Issue: 1, 1 - 5, 30.06.2018
https://doi.org/10.33401/fujma.404385

Abstract

Document ranking based on probabilistic evaluations of relevance is known to exhibit non-classical correlations, which may be explained by admitting a complex structure of the event space, namely, by assuming the events to emerge from multiple sample spaces. The structure of event space formed by overlapping sample spaces is known in quantum mechanics, they may exhibit some counter-intuitive features, called quantum contextuality. In this Note I observe that from the structural point of view quantum contextuality looks similar to personalization of information retrieval scenarios. Along these lines, Knowledge Revision is treated as operationalistic measurement and a way to quantify the rate of personalization of Information Retrieval scenarios is suggested.

References

  • [1] L. Accardi and Fedullo A. On the statistical meaning of complex numbers in quantum mechanics. Il Nuovo Cimento, 34(7):161–172, October 1982.
  • [2] Luigi Accardi. Axioms for quantum probability. In Quantum Probabilty, volume 73 of Banach Center Publications, page 1. Polish Academy of Sciences, 2006.
  • [3] R. J. Greechie and S. P. Gudder. Quantum logics. In C.A. Hooker, editor, Contemporary Research in the Foundations and Philosophy of Quantum Theory, pages 143–173. Reidel, Dordrecht, 1973.
  • [4] Matthias Kleinmann, Otfried Guehne, Jose R. Portillo, Jan-Ake Larsson, and Adan Cabello. Memory cost of quantum contextuality. New Journal of Physics, 13:113011, 2011.
  • [5] F.W. Lancaster. Information Retrieval Systems: Characteristics, Testing and Evaluation. Wiley, New York, 1968.
  • [6] Yeong-Cherng Liang, Robert W. Spekkens, and Howard M. Wiseman. Specker’s parable of the overprotective seer: a road to contextuality, nonlocality and complementarity. Phys. Rep., 506(1-2):1–39, 2011.
  • [7] Massimo Melucci. When Index Term Probability Violates the Classical Probability Axioms Quantum Probability can be a Necessary Theory for Information Retrieval.
  • [8] Benjamin Piwowarski, Ingo Frommholz, Mounia Lalmas, and Keith van Rijsbergen. Exploring a multidimensional representation of documents and queries. In Proceedings of RIAO, 2010.
  • [9] Stephen Robertson. On event spaces and probabilistic models in information retrieval, presented at. In SIGIR 2002 Workshop on Mathematical/Formal Methods in Information Retrieval, 2004.
  • [10] Karl Svozil. Quantum information via state partitions and the context translation principle. Journal of Modern Optics, 51:811–819, 2004.
  • [11] Karl Svozil. How much contextuality? Natural Computing, Online First(nn):nn–nn, 2012.
  • [12] Robert S. Taylor. Process of asking questions. American Documentation, 13:391–396, October 1962.
  • [13] Paolo Zanardi. Virtual quantum subsystems. Phys.Rev.Lett., 87:077901, 2001.
  • [14] Roman Zapatrin. Factory of realities: on the emergence of virtual spatiotemporal structures. In: ”Beyond Peaceful Coexistence: The Emergence of Space, Time and Quantum”, Ignazio Licata, Ed., World Scientific (2016), pp. 201–220, 2016.
There are 14 citations in total.

Details

Primary Language English
Subjects Computer Software
Journal Section Articles
Authors

Roman Zapatrin 0000-0002-9833-744X

Publication Date June 30, 2018
Submission Date March 12, 2018
Acceptance Date April 15, 2018
Published in Issue Year 2018 Volume: 1 Issue: 1

Cite

APA Zapatrin, R. (2018). Quantum contextuality in classical information retrieval. Fundamental Journal of Mathematics and Applications, 1(1), 1-5. https://doi.org/10.33401/fujma.404385
AMA Zapatrin R. Quantum contextuality in classical information retrieval. Fundam. J. Math. Appl. June 2018;1(1):1-5. doi:10.33401/fujma.404385
Chicago Zapatrin, Roman. “Quantum Contextuality in Classical Information Retrieval”. Fundamental Journal of Mathematics and Applications 1, no. 1 (June 2018): 1-5. https://doi.org/10.33401/fujma.404385.
EndNote Zapatrin R (June 1, 2018) Quantum contextuality in classical information retrieval. Fundamental Journal of Mathematics and Applications 1 1 1–5.
IEEE R. Zapatrin, “Quantum contextuality in classical information retrieval”, Fundam. J. Math. Appl., vol. 1, no. 1, pp. 1–5, 2018, doi: 10.33401/fujma.404385.
ISNAD Zapatrin, Roman. “Quantum Contextuality in Classical Information Retrieval”. Fundamental Journal of Mathematics and Applications 1/1 (June 2018), 1-5. https://doi.org/10.33401/fujma.404385.
JAMA Zapatrin R. Quantum contextuality in classical information retrieval. Fundam. J. Math. Appl. 2018;1:1–5.
MLA Zapatrin, Roman. “Quantum Contextuality in Classical Information Retrieval”. Fundamental Journal of Mathematics and Applications, vol. 1, no. 1, 2018, pp. 1-5, doi:10.33401/fujma.404385.
Vancouver Zapatrin R. Quantum contextuality in classical information retrieval. Fundam. J. Math. Appl. 2018;1(1):1-5.

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