A1 Journal article (refereed)
Tsirelson inequalities : Detecting cheating and quantumness in a single framework (2024)

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

JYU authors or editors

Publication details

All authors or editors: Plávala, Martin; Heinosaari, Teiko; Nimmrichter, Stefan; Gühne, Otfried

Journal or series: Physical Review A

ISSN: 2469-9926

eISSN: 2469-9934

Publication year: 2024

Publication date: 17/06/2024

Volume: 109

Issue number: 6

Article number: 062216

Publisher: American Physical Society

Publication country: United States

Publication language: English

DOI: https://doi.org/10.1103/physreva.109.062216

Publication open access: Not open

Publication channel open access: 

Publication is parallel published (JYX): https://jyx.jyu.fi/handle/123456789/96549

Web address of parallel published publication (pre-print):  https://doi.org/10.48550/arXiv.2309.00021

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.

Keywords: quantum computing; quantum physics; oscillations; inequalities (mathematics)

Contributing organizations

Related projects

Ministry reporting: Yes

VIRTA submission year: 2024

Preliminary JUFO rating: 2