Gao, Shan
(2022)
Locality Implies Reality of the Wave Function: Hardy's Theorem Revisited.
[Preprint]
Abstract
Hardy's theorem is an important psi-ontology theorem besides the Pusey-Barrett-Rudolph (PBR) theorem. In this paper, I argue that contrary to the received view, Hardy's theorem can be proved based on a locality assumption for product states, which says that for two spatially separated systems being in a product state, the ontic state of one system is not affected by the other system via action at a distance. Moreover, I argue that the locality assumption for product states is weaker than the preparation independence assumption of the PBR theorem. One implication of this new result is that the local psi-epistemic quantum theories which can evade the PBR theorem are excluded by Hardy's theorem.
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Locality Implies Reality of the Wave Function: Hardy's Theorem Revisited. (deposited 29 Nov 2022 13:32)
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