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We report correlation measurements on two $^9$Be$^+$ ions that violate a chained Bell inequality obeyed by any local-realistic theory. The correlations can be modeled as derived from a mixture of a local-realistic probabilistic distribution…

Quantum Physics · Physics 2017-04-05 T. R. Tan , Y. Wan , S. Erickson , P. Bierhorst , D. Kienzler , S. Glancy , E. Knill , D. Leibfried , D. J. Wineland

Solid experimental evidence has now been obtained that confirms the violation of Bell's inequality in tests of maximally entangled qubit pairs. This violation is widely interpreted as definitive proof of the impossibility of describing…

Quantum Physics · Physics 2025-10-20 David H. Oaknin

Quantum entanglement plays a vital role in many quantum information and communication tasks. Entangled states of higher dimensional systems are of great interest due to the extended possibilities they provide. For example, they allow the…

Theoretical considerations of Bell-inequality experiments usually assume identically prepared and independent pairs of particles. Here we consider pairs that exhibit both intra- and inter-pair entanglement. The pairs are taken from a large…

Quantum Physics · Physics 2009-12-17 S. Ashhab , Koji Maruyama , Caslav Brukner , Franco Nori

It is generally believed that Bell's inequality holds for the case of entangled states, including two correlated particles or special states of a single particle. Here, we derive a single-particle Bell's inequality for two correlated spin…

Quantum Physics · Physics 2007-05-23 A. Shafiee , M. Golshani

We consider the entanglement between two internal states of a single atom and two photon number states describing either the vaccum or a single photon and thus containing, on average, less than one photon. We show that this intriguing…

Quantum Physics · Physics 2015-05-30 N. Sangouard , J. -D. Bancal , N. Gisin , W. Rosenfeld , P. Sekatski , M. Weber , H. Weinfurter

A Bell inequality is a fundamental test to rule out local hidden variable model descriptions of correlations between two physically separated systems. There have been a number of experiments in which a Bell inequality has been violated…

Bell-inequality checks constitute a probe of entanglement -- given a source of entangled particles, their violation are a signature of the non-local nature of quantum mechanics. Here, we study a solid state device producing pairs of…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Nikolai M. Chtchelkatchev , Gianni Blatter , Gordey B. Lesovik , Thierry Martin

It is one of the most remarkable features of quantum physics that measurements on spatially separated systems cannot always be described by a locally causal theory. In such a theory, the outcomes of local measurements are determined in…

Quantum Physics · Physics 2016-09-08 Yeong-Cherng Liang

We propose the use of entangled pairs of neutral kaons, considered as a promising tool to close the well known loopholes affecting generic Bell's inequality tests, in a specific Hardy-type experiment. Hardy's contradiction without…

Quantum Physics · Physics 2009-11-07 A. Bramon , G. Garbarino

Unpredictability, or randomness, of the outcomes of measurements made on an entangled state can be certified provided that the statistics violate a Bell inequality. In the standard Bell scenario where each party performs a single…

Quantum Physics · Physics 2017-03-01 F. J. Curchod , M. Johansson , R. Augusiak , M. J. Hoban , P. Wittek , A. Acín

We show that the "practical" Bell inequalities, which use intensities as the observed variables, commonly used in quantum optics and widely accepted in the community, suffer from an inherent loophole, which severely limits the range of…

Quantum Physics · Physics 2016-10-07 Marek Zukowski , Marcin Wiesniak , Wieslaw Laskowski

Randomness is a fundamental feature in nature and a valuable resource for applications ranging from cryptography and gambling to numerical simulation of physical and biological systems. Random numbers, however, are difficult to characterize…

Recent experiments have reached detection efficiencies sufficient to close the detection loophole with photons. Both experiments ran multiple successive trials in fixed measurement configurations, rather than randomly re-setting the…

Quantum Physics · Physics 2015-05-21 Peter Bierhorst

A Bell test is a randomized trial that compares experimental observations against the philosophical worldview of local realism. A Bell test requires spatially distributed entanglement, fast and high-efficiency detection and unpredictable…

Quantum Physics · Physics 2018-11-12 The BIG Bell Test Collaboration , C. Abellán , A. Acín , A. Alarcón , O. Alibart , C. K. Andersen , F. Andreoli , A. Beckert , F. A. Beduini , A. Bendersky , M. Bentivegna , P. Bierhorst , D. Burchardt , A. Cabello , J. Cariñe , S. Carrasco , G. Carvacho , D. Cavalcanti , R. Chaves , J. Cortés-Vega , A. Cuevas , A. Delgado , H. de Riedmatten , C. Eichler , P. Farrera , J. Fuenzalida , M. García-Matos , R. Garthoff , S. Gasparinetti , T. Gerrits , F. Ghafari Jouneghani , S. Glancy , E. S. Gómez , P. González , J. -Y. Guan , J. Handsteiner , J. Heinsoo , G. Heinze , A. Hirschmann , O. Jiménez , F. Kaiser , E. Knill , L. T. Knoll , S. Krinner , P. Kurpiers , M. A. Larotonda , J. -Å. Larsson , A. Lenhard , H. Li , M. -H. Li , G. Lima , B. Liu , Y. Liu , I. H. López Grande , T. Lunghi , X. Ma , O. S. Magaña-Loaiza , P. Magnard , A. Magnoni , M. Martí-Prieto , D. Martínez , P. Mataloni , A. Mattar , M. Mazzera , R. P. Mirin , M. W. Mitchell , S. Nam , M. Oppliger , J. -W. Pan , R. B. Patel , G. J. Pryde , D. Rauch , K. Redeker , D. Rieländer , M. Ringbauer , T. Roberson , W. Rosenfeld , Y. Salathé , L. Santodonato , G. Sauder , T. Scheidl , C. T. Schmiegelow , F. Sciarrino , A. Seri , L. K. Shalm , S. -C. Shi , S. Slussarenko , M. J. Stevens , S. Tanzilli , F. Toledo , J. Tura , R. Ursin , P. Vergyris , V. B. Verma , T. Walter , A. Wallraff , Z. Wang , H. Weinfurter , M. M. Weston , A. G. White , C. Wu , G. B. Xavier , L. You , X. Yuan , A. Zeilinger , Q. Zhang , W. Zhang , J. Zhong

Violation of Bell inequalities is an essential requirement for many quantum information and communication protocols. In high-dimensional systems, Bell inequality tests face the challenge of implementing genuinely multi-outcome measurements,…

Nonlocality, manifested by the violation of Bell inequalities, indicates entanglement within a joint quantum system. A natural question is how much entanglement is required for a given nonlocal behavior. Here, we explore this question by…

Quantum Physics · Physics 2025-06-23 Yuwei Zhu , Xingjian Zhang , Xiongfeng Ma

Loophole-free Bell tests for quantum nonlocality and long-distance secure communication require photodetection efficiencies beyond a threshold eta_{crit} that depends on the Bell inequality and the noise affecting the entangled state…

Proposals for Bell inequality tests on systems restricted by superselection rules often require operations that are difficult to implement in practice. In this paper, we derive a new Bell inequality, where pairs of states are used to…

Quantum Physics · Physics 2015-05-19 Libby Heaney , Seung-Woo Lee , Dieter Jaksch

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,…

Quantum Physics · Physics 2018-08-14 Victoria Lipinska , Florian Curchod , Alejandro Máttar , Antonio Acín