Merging Contradictory Laws: Imagining a Constructive Derivation of Quantum Theory

Part of the The Frontiers Collection book series (FRONTCOLL)


In quantum theory, we compute probabilities by squaring the magnitudes of complex probability amplitudes . Though physicists have gotten used to this procedure, it remains puzzling that nature should be constructed such that this way of computing probabilities agrees so perfectly with the empirical facts.



I am grateful to Chris Fuchs for comments on an earlier draft. This research was supported by the Foundational Questions Institute (grant FQXi-RFP3-1350).


  1. 1.
    Aaronson, S., Bouland, A., Chua, L., Lowther, G.: Psi-epistemic theories: the role of symmetry. Phys. Rev. A 88, 032111 (2013)ADSCrossRefGoogle Scholar
  2. 2.
    Birkhoff, G., von Neumann, J.: The logic of quantum mechanics. Ann. Math. 37, 823–843 (1936)MathSciNetCrossRefMATHGoogle Scholar
  3. 3.
    Bohm, D.: A suggested interpretation of the quantum theory in terms of “hidden” variables. I. Phys. Rev. 85, 166–179 (1952)ADSMathSciNetCrossRefMATHGoogle Scholar
  4. 4.
    Bohm, D.: A suggested interpretation of the quantum theory in terms of “hidden” variables. II. Phys. Rev. 85, 180–193 (1952)ADSMathSciNetCrossRefMATHGoogle Scholar
  5. 5.
    Chiribella, G., D’Ariano, G.M., Perinotti, P.: Informational derivation of quantum theory. Phys. Rev. A 84, 012311 (2011)Google Scholar
  6. 6.
    Chiribella, G., Spekkens, R.W. (eds.): Quantum Theory: Informational Foundations and Foils. Springer, Dordrecht (2016)MATHGoogle Scholar
  7. 7.
    Colbeck, R., Renner, R.: Is a system’s wave function in one-to-one correspondence with its elements of reality? Phys. Rev. Lett. 108, 150402 (2012)ADSCrossRefGoogle Scholar
  8. 8.
    Colbeck, R., Renner, R.: A system’s wavefunction is uniquely determined by its underlying physical state. arXiv:1312.7353 (2013)
  9. 9.
    Hardy, L.: Quantum Theory From Five Reasonable Axioms. arXiv:quant-ph/0101012 (2001)
  10. 10.
    Hardy, L.: Are quantum states real? Int. J. Modern Phys. B 27, 1345012 (2013)ADSMathSciNetCrossRefMATHGoogle Scholar
  11. 11.
    Harrigan, N., Spekkens, R.W.: Einstein, incompleteness, and the epistemic view of quantum states. Found. Phys. 40, 125 (2010)ADSMathSciNetCrossRefMATHGoogle Scholar
  12. 12.
    Leifer, M.: Is the quantum state real? An extended review of \(\psi \)-ontology theorems. Quanta 3, 67 (2014)CrossRefGoogle Scholar
  13. 13.
    Mansfield, S.: Reality of the quantum state: a stronger psi-ontology theorem. arXiv:1412.0669 (2014)
  14. 14.
    Montina, A.: Communication complexity and the reality of the wave-function. Modern Phys. Lett. A 30, 1530001 (2015)ADSMathSciNetCrossRefMATHGoogle Scholar
  15. 15.
    Penrose, R.: Angular momentum: an approach to combinatorial space-time. In: Bastin, T. (ed.) Quantum Theory and Beyond, pp. 151–180. Cambridge Univercity Press, London (1971)Google Scholar
  16. 16.
    Pusey, M.F., Barrett, J., Rudolph, T.: On the reality of the quantum state. Nat. Phys. 8, 475 (2012)CrossRefGoogle Scholar
  17. 17.
    Spekkens, R.W.: In defense of the epistemic view of quantum states: a toy theory. Phys. Rev. A 75, 032110 (2007)ADSCrossRefGoogle Scholar
  18. 18.
    Wheeler, J.A.: How Come the Quantum? New Techniques and Ideas in Quantum Measurement Theory. Ann. N. Y. Acad. Sci. 480, 304–316 (1986)Google Scholar

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© Springer International Publishing Switzerland 2017

Authors and Affiliations

  1. 1.Williams CollegeWilliamstownUSA

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