When Greenberger, Horne and Zeilinger Meet Wigner’s Friend

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...

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Bibliographic Details
Published inFoundations of physics Vol. 52; no. 4
Main Author Leegwater, Gijs
Format Journal Article
LanguageEnglish
Published New York Springer US 01.08.2022
Springer Nature B.V
Subjects
Classical and Quantum Gravitation
Classical Mechanics
History and Philosophical Foundations of Physics
Philosophy of Science
Physics
Physics and Astronomy
Quantum mechanics
Quantum Physics
Relativity Theory
Statistical Physics and Dynamical Systems
Wave functions
No-go theorem
Wigner’s Friend
GHZ state
Many-Worlds
Interpretations of quantum mechanics
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Summary: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.
ISSN:0015-9018
1572-9516
DOI:10.1007/s10701-022-00586-6