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Quantum theory cannot consistently describe the use of itself

Author

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  • Daniela Frauchiger

    (Institute for Theoretical Physics, ETH Zurich)

  • Renato Renner

    (Institute for Theoretical Physics, ETH Zurich)

Abstract

Quantum theory provides an extremely accurate description of fundamental processes in physics. It thus seems likely that the theory is applicable beyond the, mostly microscopic, domain in which it has been tested experimentally. Here, we propose a Gedankenexperiment to investigate the question whether quantum theory can, in principle, have universal validity. The idea is that, if the answer was yes, it must be possible to employ quantum theory to model complex systems that include agents who are themselves using quantum theory. Analysing the experiment under this presumption, we find that one agent, upon observing a particular measurement outcome, must conclude that another agent has predicted the opposite outcome with certainty. The agents’ conclusions, although all derived within quantum theory, are thus inconsistent. This indicates that quantum theory cannot be extrapolated to complex systems, at least not in a straightforward manner.

Suggested Citation

  • Daniela Frauchiger & Renato Renner, 2018. "Quantum theory cannot consistently describe the use of itself," Nature Communications, Nature, vol. 9(1), pages 1-10, December.
  • Handle: RePEc:nat:natcom:v:9:y:2018:i:1:d:10.1038_s41467-018-05739-8
    DOI: 10.1038/s41467-018-05739-8
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    Cited by:

    1. Alexios P. Polychronakos, 2024. "Quantum mechanical rules for observed observers and the consistency of quantum theory," Nature Communications, Nature, vol. 15(1), pages 1-7, December.
    2. Juste Raimbault, 2020. "Relating Complexities for the Reflexive Study of Complex Systems," Post-Print halshs-02430521, HAL.
    3. Patricia Contreras-Tejada & Giannicola Scarpa & Aleksander M. Kubicki & Adam Brandenburger & Pierfrancesco La Mura, 2021. "Observers of quantum systems cannot agree to disagree," Nature Communications, Nature, vol. 12(1), pages 1-7, December.

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