2014/01/16 by Arun Kumar Pati, Pati, Arun Kumar, Partha Ghose +3
Arts and Humanities · Computer Science · Physics and Astronomy · #Computability, Logic, AI Algorithms #FOS: Physical sciences #Philosophy and History of Science #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #quant-ph
paper · pdf · doi:10.48550/arxiv.1401.4104
5 pages, No figs
openalex publication_date 2014/01/16 · arxiv created 2014/01/29 · arxiv updated 2014/01/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We first prove that ontological models of the quantum state which are capable of reproducing the Born probability rule and fall in the class of ψ-epistemic models are inconsistent with the Schödinger time evolution. We then model the ontic state space as a complex projective Hilbert space that embeds the projective Hilbert space of quantum mechanics and define a minimalist epistemic state as an average over a set of "hidden states" in the larger space. We show that such a model incorporates probability amplitudes and admits an epistemic interpretation of quantum states. Finally, we prove a second theorem to show that such a model is compatible with locality but ontic models are not.