Violation of no-signaling in higher-order quantum measure theories
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Publication:2832584
DOI10.1142/S0219749916500246zbMATH Open1349.81027arXiv1308.6065OpenAlexW2258180901MaRDI QIDQ2832584
Author name not available (Why is that?)
Publication date: 11 November 2016
Published in: (Search for Journal in Brave)
Abstract: More general probability sum-rules for describing interference than found in quantum mechanics (QM) were formulated by Sorkin in a hierarchy of such rules. The additivity of classical measure theory corresponds to the second sum-rule. QM violates this rule, but satisfies the third and higher sum-rules. This evokes the question of whether there are physical principles that forbid their violation. We show that under certain assumptions, violation of higher sum-rules allows for superluminal signaling.
Full work available at URL: https://arxiv.org/abs/1308.6065
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