Gao, Shan
(2022)
Locality Implies Reality of the Wave Function: Hardy's Theorem Revisited.
[Preprint]
Abstract
Hardy's theorem is an important psiontology theorem besides the PuseyBarrettRudolph (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 psiepistemic quantum theories which can evade the PBR theorem are excluded by Hardy's theorem.
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