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arXiv · 1308.6065

Violation of no signaling in higher order quantum measure theories

Karthik S. Joshi·R. Srikanth·Urbasi Sinha
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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.

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Karthik S. Joshi, R. Srikanth, Urbasi Sinha. 2013-08-28. Violation of no signaling in higher order quantum measure theories. https://doi.org/10.1142/s0219749916500246

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