Tsirelson inequalities : Detecting cheating and quantumness in a single framework
Plávala, M., Heinosaari, T., Nimmrichter, S., & Gühne, O. (2024). Tsirelson inequalities : Detecting cheating and quantumness in a single framework. Physical Review A, 109(6), Article 062216. https://doi.org/10.1103/physreva.109.062216
Julkaistu sarjassa
Physical Review APäivämäärä
2024Tekijänoikeudet
© 2024 American Physical Society
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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American Physical SocietyISSN Hae Julkaisufoorumista
2469-9926Asiasanat
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https://converis.jyu.fi/converis/portal/detail/Publication/220821777
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We acknowledge support from the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation, Projects No. 447948357 and No. 440958198), the Sino-German Center for Research Promotion (Project No. M-0294), the German Ministry of Education and Research (Project QuKuK, BMBF Grant No. 16KIS1618K), the DAAD, and the Alexander von Humboldt Foundation. T.H. acknowledges financial support from Business Finland under the project TORQS, Grant No. 8582/31/2022, and from the Academy of Finland under the project DEQSE, Grant No. 349945.![showless](/themes/JYX2//images/showless.png)
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