论文标题

来自统一框架的多量系统中的非本地性和纠缠

Non-locality and entanglement in multi-qubit systems from a unified framework

论文作者

Asthana, Sooryansh, Adhikary, Soumik, Ravishankar, V.

论文摘要

非古典概率是量子力学的基本特征。 Adhikary等人已经显示了针对双分部分系统的Bell-Chsh非本地性的出现。 2020 [欧元。物理。 J. D 74,68(2020)],纯粹是违反经典概率规则的行为。在本文中,我们通过表明违反任何非局部性不平等的行为意味着违反经典概率规则,这是通过负概率表现出来的,而无需求助于任何基本理论,就可以改善这项工作。继续进行纠缠,我们采用家长伪注射来展示如何以违反经典概率规则来获得多码系统的任何线性和非线性纠缠证人。它们包括通过使用不同方法来提出的那些。它提供了与代数方法有关当前理解的互补观点。

Non-classical probability is the underlying feature of quantum mechanics. The emergence of Bell-CHSH non-locality for bipartite systems and linear entanglement inequalities for two-qubit systems has been shown in Adhikary et al. 2020 [Eur. Phys. J. D 74, 68 (2020)], purely as violations of classical probability rules. In this paper, we improve upon that work by showing that violation of any nonlocality inequality implies violation of classical probability rules, manifested through negative probabilities, without recourse to any underlying theory. Moving on to entanglement, we employ parent pseudoprojections to show how any number of linear and nonlinear entanglement witnesses for multiqubit systems can be obtained as violations of classical probability rules. They include the ones that have been derived earlier by employing different methods. It provides a perspective complementary to the current understanding in terms of the algebraic approaches.

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