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While all bipartite pure entangled states are known to generate correlations violating a Bell inequality, and are therefore nonlocal, the quantitative relation between pure-state entanglement and nonlocality is poorly understood. In fact,…

量子物理 · 物理学 2018-08-14 Victoria Lipinska , Florian Curchod , Alejandro Máttar , Antonio Acín

Measurement incompatibility and quantum non-locality are two key features of quantum theory. Violations of Bell inequalities require quantum entanglement and incompatibility of the measurements used by the two parties involved in the…

数学物理 · 物理学 2023-03-30 Faedi Loulidi , Ion Nechita

In quantum theory, observables with a continuous spectrum are known to be fundamentally different from those with a discrete and finite spectrum. While some fundamental tests and applications of quantum mechanics originally formulated for…

量子物理 · 物理学 2014-05-21 P. Vernaz-Gris , A. Ketterer , A. Keller , S. P. Walborn , T. Coudreau , P. Milman

We show that nonlocal correlation experiments on the two spatially separated modes of a maximally path-entangled number state may be performed and lead to a violation of a Clauser-Horne Bell inequality for any finite photon number N. We…

量子物理 · 物理学 2009-11-13 Christoph F. Wildfeuer , Austin P. Lund , Jonathan P. Dowling

Bell's inequalities are defined by sums of correlations involving non-commuting observables in each of the two systems. Violations of Bell's inequalities are only possible because the precision of any joint measurement of these observables…

量子物理 · 物理学 2021-11-17 Kengo Matsuyama , Holger F. Hofmann , Masataka Iinuma

We detail and extend the results of [Milman {\it et al.}, Phys. Rev. Lett. {\bf 99}, 130405 (2007)] on Bell-type inequalities based on correlations between measurements of continuous observables performed on trapped molecular systems. We…

量子物理 · 物理学 2019-04-04 P. Milman , A. Keller , E. Charron , O. Atabek

Elaborating on a previous work by Simon et al. [PRL 85, 1783 (2000)] we propose a realizable quantum optical single-photon experiment using standard present day technology, capable of discriminating maximally between the predictions of…

量子物理 · 物理学 2009-11-07 Jose L. Cereceda

Nonlocality, evidenced by the violation of Bell inequalities, not only signifies entanglement but also highlights measurement incompatibility in quantum systems. Utilizing the generalized Clauser-Horne-Shimony-Holt (CHSH) Bell inequality,…

The question of testing the nonlocality of a single photon has raised much debate over the last years. The controversy is intimately related to the issue of providing a common reference frame for the observers to perform their local…

量子物理 · 物理学 2013-07-26 Jonatan Bohr Brask , Rafael Chaves , Nicolas Brunner

There are two powerful arguments against the possibility of extending quantum mechanics, the violation of Bell inequalities and the Kochen-Specker theorem, but the connection between the two remains confused. Following the distinctive…

量子物理 · 物理学 2025-01-08 Jianqi Sheng , Dongkai Zhang , Lixiang Chen

Recent experiments to test Bell's inequality using entangled photons and ions aimed at tests of basic quantum mechanical principles. Interesting results have been obtained and many loopholes could be closed. In this paper we want to point…

量子物理 · 物理学 2015-06-26 Dimitris G. Angelakis , Almut Beige , Peter L. Knight , William J. Munro , Ben Tregenna

Experimental tests of Bell's inequality allow to distinguish quantum mechanics from local hidden variable theories. Such tests are performed by measuring correlations of two entangled particles (e.g. polarization of photons or spins of…

We show that there are Bell-type inequalities for noncontextual theories that are violated by any quantum state. One of these inequalities between the correlations of compatible measurements is particularly suitable for testing this…

量子物理 · 物理学 2009-07-28 Adan Cabello

Wang et al. [Science Advances, 1 Aug 2025 Vol 11, Issue 31] recently reported an experiment that they interpret as demonstrating a violation of Bell's inequality using unentangled photons. Such a claim is highly controversial, since it is…

量子物理 · 物理学 2025-09-04 Antoni Wójcik , Jan Wójcik

Nonlocality lies at the core of quantum mechanics from both a fundamental and applicative point of view. It is typically revealed by a Bell test, that is by violation of a Bell inequality, whose success depends both on the state of the…

量子物理 · 物理学 2010-10-04 Bruno Bellomo , Rosario Lo Franco , Giuseppe Compagno

Based on the optimal quantum violation of suitable Bell's inequality, the device-independent self-testing of state and observables has been reported. It is well-studied that locally commuting or compatible observables cannot be used to…

量子物理 · 物理学 2023-11-09 Sneha Munshi , A. K. Pan

We argue that quantum nonlocality of entangled states is not an actual phenomenon. It appears in quantum mechanics as a consequence of the inconsistency of its superposition principle with the corpuscular properties of a quantum particle.…

量子物理 · 物理学 2007-05-23 N. L. Chuprikov

Witnessing continuous-variable Bell nonlocality is a challenging endeavor, but Bell himself showed how one might demonstrate this nonlocality. Though Bell nearly showed a violation using the CHSH inequality with sign-binned…

量子物理 · 物理学 2016-01-20 James Schneeloch , Samuel H. Knarr , Daniel J. Lum , John C. Howell

We report the measurement of a Bell inequality violation with a single atom and a single photon prepared in a probabilistic entangled state. This is the first demonstration of such a violation with particles of different species. The…

量子物理 · 物理学 2008-12-03 D. L. Moehring , M. J. Madsen , B. B. Blinov , C. Monroe

We consider the entanglement of orthogonal generalized Bernoulli states in two separate single-mode high-$Q$ cavities. The expectation values and the correlations of the electric field in the cavities are obtained. We then define, in each…

量子物理 · 物理学 2009-11-11 R. Lo Franco , G. Compagno , A. Messina , A. Napoli