A No-Go Theorem for Joint Property Ascriptions in Modal Interpretations of Quantum Mechanics

Journal Article · Sat Mar 01 00:00:00 EST 1997 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.78.2033· OSTI ID:475705

Vermaas, P E ^[1]

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1. Foundations of the Natural Sciences Section, Utrecht University, P.O. Box 80.000, 3508 TA Utrecht (The Netherlands)

With an interpretation of quantum mechanics one can not only predict probabilities for outcomes of measurements performed on quantum systems but also ascribe properties to these systems themselves. I consider interpretations (notably modal interpretations) that ascribe at least those properties to a system which are represented by the eigenprojections of the reduced state. Such interpretations solve the measurement problem for ideal measurements. Here, however, I prove that these interpretations cannot define joint property ascriptions to three or more systems. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 475705
• Journal Information: Physical Review Letters, Vol. 78, Issue 11; Other Information: PBD: Mar 1997
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
QUANTUM MECHANICS
PROBABILITY
MEASURE THEORY
EIGENVECTORS
HILBERT SPACE