Joshi, Karthik S. ; Srikanth, R. ; Sinha, Urbasi (2016) Violation of no-signaling in higher-order quantum measure theories International Journal of Quantum Information, 14 (05). p. 1650024. ISSN 0219-7499
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Official URL: http://doi.org/10.1142/S0219749916500246
Related URL: http://dx.doi.org/10.1142/S0219749916500246
Abstract
More general probability sum-rules for describing interference 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 in a theory that is indistinguishable from quantum mechanics in first and second-order interferences, the violation of higher sum-rules allows for superluminal signaling, essentially because probability measures can be contextual in such theories.
Item Type: | Article |
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Source: | Copyright of this article belongs to World Scientific Publishing Company. |
ID Code: | 121134 |
Deposited On: | 12 Jul 2021 05:58 |
Last Modified: | 12 Jul 2021 05:58 |
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