On the reality of the quantum state once again: A no-go theorem for
$\psi$-ontic models
- URL: http://arxiv.org/abs/2201.11842v3
- Date: Sun, 10 Dec 2023 20:20:02 GMT
- Title: On the reality of the quantum state once again: A no-go theorem for
$\psi$-ontic models
- Authors: Gabriele Carcassi, Andrea Oldofredi, Christine A. Aidala
- Abstract summary: We show that $psi$-ontic models, as defined by Harrigan and Spekkens (HS), cannot reproduce quantum theory.
HS categorization itself is problematic as it leaves no space for models that can reproduce quantum theory.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: In this paper we show that $\psi$-ontic models, as defined by Harrigan and
Spekkens (HS), cannot reproduce quantum theory. Instead of focusing on
probability, we use information theoretic considerations to show that all pure
states of $\psi$-ontic models must be orthogonal to each other, in clear
violation of quantum mechanics. Given that (i) Pusey, Barrett and Rudolph (PBR)
previously showed that $\psi$-epistemic models, as defined by HS, also
contradict quantum mechanics, and (ii) the HS categorization is exhausted by
these two types of models, we conclude that the HS categorization itself is
problematic as it leaves no space for models that can reproduce quantum theory.
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