Gao, Shan
(2022)
Existence of superluminal signaling in collapse theories of quantum mechanics.
[Preprint]
Abstract
It is usually thought that superluminal signaling is prohibited in collapse theories of quantum mechanics. In this paper, I argue that this is not the case when considering the tails problem and its solution. In collapse theories, the post-measurement state of a measuring device or an observer is a definite result state with tails containing other results. This leads to the well-known tails problem. In order to solve this problem, collapse theories have to assume that a measuring device or an observer being in a post-measurement superposition already obtains a definite result. It is argued that this solution to the tails problem will in principle permit that two ensembles with the same density matrix can be distinguished, which further leads to the existence of superluminal signaling.
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