When Greenberger, Horne and Zeilinger Meet Wigner’s Friend
Gijs Leegwater
Abstract
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.
Topics & Concepts
Unitary stateInertial frame of referencePhysicsQuantum mechanicsArgument (complex analysis)Wave functionOutcome (game theory)Classical mechanicsTheoretical physicsMathematicsMathematical economicsLawChemistryBiochemistryPolitical scienceQuantum Mechanics and ApplicationsQuantum Information and CryptographyAdvanced Thermodynamics and Statistical Mechanics