When Greenberger, Horne and Zeilinger Meet Wigner’s Friend

Gijs Leegwater

doi:10.1007/s10701-022-00586-6

When Greenberger, Horne and Zeilinger Meet Wigner’s Friend

Gijs Leegwater^*

^*Corresponding author for this work

PhD ESPhil

Research output: Contribution to journal › Article › Academic › peer-review

12 Citations (Scopus)

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Abstract

A general argument is presented against relativistic, unitary, single-outcome quantum mechanics. This is achieved by combining the Wigner’s Friend thought experiment with measurements on a Greenberger–Horne–Zeilinger (GHZ) state, and describing the evolution of the quantum state in various inertial frames. Assuming unitary quantum mechanics and single outcomes, the result is that the Born rule must be violated in some inertial frame: in that frame, outcomes are obtained for which no corresponding term exists in the pre-measurement wavefunction.

Original language	English
Article number	68
Journal	Foundations of Physics
Volume	52
Issue number	4
DOIs	https://doi.org/10.1007/s10701-022-00586-6
Publication status	Published - 27 Jun 2022

Bibliographical note

Acknowledgements:
I would like to thank F.A. Muller, Jeremy Butterfield, Renato Renner, Guido Bacciagaluppi and Richard Healey for valuable discussions and corrections. This work is part of the Research Programme ‘The Structure of Reality and the Reality of Structure’, which is financed by the Netherlands Organisation for Scientific Research (NWO).

Publisher Copyright: © 2022, The Author(s).

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author = "Gijs Leegwater",

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N2 - A general argument is presented against relativistic, unitary, single-outcome quantum mechanics. This is achieved by combining the Wigner’s Friend thought experiment with measurements on a Greenberger–Horne–Zeilinger (GHZ) state, and describing the evolution of the quantum state in various inertial frames. Assuming unitary quantum mechanics and single outcomes, the result is that the Born rule must be violated in some inertial frame: in that frame, outcomes are obtained for which no corresponding term exists in the pre-measurement wavefunction.

AB - A general argument is presented against relativistic, unitary, single-outcome quantum mechanics. This is achieved by combining the Wigner’s Friend thought experiment with measurements on a Greenberger–Horne–Zeilinger (GHZ) state, and describing the evolution of the quantum state in various inertial frames. Assuming unitary quantum mechanics and single outcomes, the result is that the Born rule must be violated in some inertial frame: in that frame, outcomes are obtained for which no corresponding term exists in the pre-measurement wavefunction.

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When Greenberger, Horne and Zeilinger Meet Wigner’s Friend

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