The incompleteness of relativistic Spekkens' contextuality
- URL: http://arxiv.org/abs/2509.17967v1
- Date: Mon, 22 Sep 2025 16:18:26 GMT
- Title: The incompleteness of relativistic Spekkens' contextuality
- Abstract summary: We find that spin states that are contextual in one frame can become non-contextual in the other.<n>We apply our results to predict a novel relativistic effect concerning the task of discriminating between two quantum states.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We show that the operational definition of contextuality introduced by Spekkens is, in general, not Lorentz invariant. Specifically, we consider particle states with both spin and momentum, apply a Lorentz transformation to obtain the states in a new inertial frame, and then trace out the momentum degrees of freedom in both frames. We find that spin states that are contextual in one frame can become non-contextual in the other. Hence, the Spekkens' notion of contextuality, when restricted to spin states only, is a frame-dependent concept. We apply our results to predict a novel relativistic effect concerning the task of discriminating between two quantum states. We show that the probability of success for a moving observer exceeds that of an observer at rest.
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