Tsirelson inequalities: Detecting cheating and quantumness in a single framework
- URL: http://arxiv.org/abs/2309.00021v2
- Date: Thu, 18 Jul 2024 17:32:09 GMT
- Title: Tsirelson inequalities: Detecting cheating and quantumness in a single framework
- Authors: Martin Plávala, Teiko Heinosaari, Stefan Nimmrichter, Otfried Gühne,
- Abstract summary: Tsirelson inequalities have emerged as a powerful tool in quantum theory to detect quantumness.
In this paper we harness the versatility of Tsirelson inequalities to address two distinct problems: detecting cheating in classic shell games and probing quantumness in spatially separated systems.
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- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Quantumness refers to the peculiar and counterintuitive characteristics exhibited by quantum systems. Tsirelson inequalities have emerged as a powerful tool in quantum theory to detect quantumness and entanglement of harmonic oscillators, spins undergoing uniform precession, and anharmonic systems. In this paper we harness the versatility of Tsirelson inequalities to address two distinct problems: detecting cheating in classic shell games and probing quantumness in spatially separated systems and harmonic oscillators. By adopting a black-box approach and a geometric characterization of the space of conditional probabilities, we demonstrate that Tsirelson inequalities can be used in both scenarios, enabling us to uncover quantum signatures and identify cheaters in a single unified framework. This connection provides an intuitive different perspective on quantumness of mechanical systems.
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