Violation of no signaling in higher order quantum measure theories

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.

7 pages, 1 figure, accepted for publication in IJQI

References in corpus (4)

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• Testing Born's Rule in Quantum Mechanics for Three Mutually Exclusive Events
• Three path interference using nuclear magnetic resonance: a test of the consistency of Born's rule
• Entanglement, intractability and no-signaling