Non-classicality Primitive in a Quasi-probabilistic Toy Model

Kelvin Onggadinata; Pawel Kurzynski; Dagomir Kaszlikowski

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arXiv · 2402.11607

Non-classicality Primitive in a Quasi-probabilistic Toy Model

Kelvin Onggadinata·Pawel Kurzynski·Dagomir Kaszlikowski

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Abstract

We demonstrate a basic non-classical effect in a quasi-probabilistic toy model with local Alice and Bob who share classical randomness. Our scenario differs from the orthodox demonstrations of non-classicality such as violations of Bell inequalities where both local observers have a free will and randomly choose their measurement settings. The core of the argument are modified algorithms by Abramsky and Brandenburger [in Horizons of the Mind, Springer, Cham (2014)], and Pashayan et. al. [Phys. Rev. Lett. 115, 070501 (2015)] we use to show that if Bob deterministically performs a quasi-stochastic operation, Alice and Bob require classical communication to simulate it.

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Kelvin Onggadinata, Pawel Kurzynski, Dagomir Kaszlikowski. 2024-02-18. Non-classicality Primitive in a Quasi-probabilistic Toy Model. https://arxiv.org/abs/2402.11607

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