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Foundations of Physics

, Volume 45, Issue 10, pp 1330–1340 | Cite as

Reconstruction and Reinvention in Quantum Theory

  • Michael DicksonEmail author
Article

Abstract

I consider the fact that there are a number of interesting ways to ‘reconstruct’ quantum theory, and suggest that, very broadly speaking, a form of ‘instrumentalism’ makes good sense of the situation. This view runs against some common wisdom, which dismisses instrumentalism as ‘cheap’. In contrast, I consider how an instrumentalist might think about the reconstruction theorems, and, having made a distinction between ‘reconstructing’ quantum theory and ‘reinventing’ quantum theory, I suggest that there is an adequate (not ‘cheap’) instrumentalist approach to the theory (and to these theorems) that invokes both.

Keywords

Quantum theory Reconstruction Instrumentalism 

Notes

Acknowledgments

Thanks to the organizers of the session on reconstruction theorems, to two anonymous referees, and to the participants for their helpful questions and comments.

References

  1. 1.
    Barret, J.: Information processing in generalized probabilistic theories. Phys. Rev. A 75, 032304 (2007)CrossRefADSGoogle Scholar
  2. 2.
    Bell, J.S.: Against ‘measurement’. Phys. World 8, 33–35 (1990)CrossRefGoogle Scholar
  3. 3.
    Brukner, Č.: The Kreisgang between classical and quantum physics. arXiv:0905.3363 (2009)
  4. 4.
    Bub, J.: Why the quantum? Stud. Hist. Philos. Mod. Phys. 35, 241–266 (2004)zbMATHMathSciNetCrossRefGoogle Scholar
  5. 5.
    Chiribella, G., D’Ariano, G.M., Perinotti, P.: Informational derivation of quantum theory. arXiv:1011.6451 (2011)
  6. 6.
    Clifton, R., Bub, J., Halvorson, H.: Characterizing quantum theory in terms of information-theoretic constraints. Found. Phys. 33, 1561–1591 (2003)zbMATHMathSciNetCrossRefGoogle Scholar
  7. 7.
    D’Ariano, G.M.: Physics as information processing. In: Jaeger, G. (ed.) Advances in Quantum Theory, vol. 1327, pp. 7–18. American Institute of Physics, Melville (2011)Google Scholar
  8. 8.
    Deutsch, D.: The Fabric of Reality. Penguin Books, New York (1997)Google Scholar
  9. 9.
    Dickson, M.: A view from nowhere: quantum reference frames and uncertainty. Stud. Hist. Philos. Sci. B 35, 195–220 (2004)zbMATHGoogle Scholar
  10. 10.
    Dickson, M.: Non-relativistic quantum mechanics. In: Butterfield, J., Earman, J. (eds.) Handbook for Philosophy of Physics, pp. 275–416. Kluwer Academic Press, Amsterdam (2007)CrossRefGoogle Scholar
  11. 11.
    Dürr, D., Goldstein, S., Zanghì, N.: Bohmian mechanics as the foundation of quantum mechanics. In: Cushing, J., Fine, A., Goldtein, S. (eds.) Bohmian Mechanics and Quantum Theory: An Appraisal, pp. 21–44. Springer, Dordrecht (1996)CrossRefGoogle Scholar
  12. 12.
    Fuchs, C.: Quantum mechanics as quantum information, mostly. J. Mod. Opt. 50, 987–1023 (2003)zbMATHCrossRefADSGoogle Scholar
  13. 13.
    Goyal, P.: An information-theoretic approach to quantum theory, I. The abstract quantum formalism. arXiv:quant-ph/0702124 (2007)
  14. 14.
    Goyal, P.: Information physics—towards a new conception of physical reality. Information 3, 567–594 (2012)CrossRefGoogle Scholar
  15. 15.
    Grinbaum, A.: Reconstruction of quantum theory. Br. J. Philos. Sci. 58, 387–408 (2007)zbMATHMathSciNetCrossRefGoogle Scholar
  16. 16.
    Grinbaum, A.: Reconstructing instead of interpreting quantum theory. Philos. Sci. 74, 761–774 (2007)MathSciNetCrossRefGoogle Scholar
  17. 17.
    Hardy, L.: Quantum theory from five reasonable axioms. quant-ph/00101012 (2001)
  18. 18.
    Hilbert, D., von Neumann, J., Nordheim, L.: Über die grundlagen der quantenmechanik. Math. Ann. 98, 1–30 (1928)MathSciNetCrossRefGoogle Scholar
  19. 19.
    Ludwig, G.: An Axiomatic Basis for Quantum Mechanics. Springer, Berlin (1985)zbMATHCrossRefGoogle Scholar
  20. 20.
    Mackey, G.W.: Mathematical Foundations of Quantum Mechanics. W. A. Benjamin, New York (1963)zbMATHGoogle Scholar
  21. 21.
    Piron, C.: Axiomatique quantique. Helv. Phys. Acta 37, 439–468 (1964)zbMATHMathSciNetGoogle Scholar
  22. 22.
    Rovelli, C.: Relational quantum mechanics. Int. J. Theor. Phys. 35, 1637–1678 (1996)zbMATHMathSciNetCrossRefGoogle Scholar
  23. 23.
    Spekkens, R.: In defense of the epistemic view of quantum states: a toy theory. quant-ph/0401052 (2004)
  24. 24.
    Van Fraassen, B.: Quantum Mechanics: An Empiricist View. Oxford University Press, New York (1991)CrossRefGoogle Scholar
  25. 25.
    Wootters, W.: The acquisition of information from quantum measurements, Ph.D. thesis, University of Texas at Austin (1980)Google Scholar
  26. 26.
    Wootters, W.: Communicating through probabilities: does quantum theory optimize the transfer of information? Entropy 15, 3130–3147 (2013)MathSciNetCrossRefADSGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.Department of Philosophy, College of Arts and SciencesUniversity of South CarolinaColumbiaUSA

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