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Bell inequality tests based on high-dimensional entanglement usually require measurements that can resolve multiple possible outcomes. However, the implementation of high-dimensional multi-outcome measurements is often only emulated via a…

Loophole-free experiments have demonstrated that at least one of three features is false when the violation of Bell's inequalities is observed: Locality, Realism or (what is lesser known) Ergodicity. An experiment is proposed to find out,…

Quantum Physics · Physics 2021-03-09 Alejandro Hnilo

Quantum nonlocality is often judged by violations of Bell-type inequalities for a given state. The computation of such violations is a global task, requiring evaluation of global correlations and subsequent testing against a Bell…

Quantum Physics · Physics 2025-11-04 Rohit Kishan Ray

Bell's theorem is supposed to exclude all local hidden-variable models of quantum correlations. However, an explicit counterexample shows that a new class of local realistic models, based on generalized arithmetic and calculus, can exactly…

General Physics · Physics 2021-02-23 Marek Czachor

Testing and verifying imperfect multi-qubit quantum devices are important as such noisy quantum devices are widely available today. Bell inequalities are known useful for testing and verifying the quality of the quantum devices from their…

Quantum Physics · Physics 2025-05-16 Bo Yang , Rudy Raymond , Hiroshi Imai , Hyungseok Chang , Hidefumi Hiraishi

Based on the new general framework for the probabilistic description of experiments, introduced in quant-ph/0305126, quant-ph/0312199, we analyze in mathematical terms the link between the validity of Bell-type inequalities under joint…

Quantum Physics · Physics 2007-05-23 Elena R. Loubenets

We discuss the problem of finding the most favorable conditions for closing the detection loophole in a test of local realism with a Bell inequality. For a generic non-maximally entangled two-qubit state and two alternative measurement…

Quantum Physics · Physics 2015-05-14 G. Garbarino

Applications such as Device-Independent Quantum Key Distribution (DIQKD) require loophole-free certification of long-distance quantum correlations. However, these distances remain severely constrained by detector inefficiencies and…

Quantum Physics · Physics 2025-04-25 Anubhav Chaturvedi , Marcin Pawłowski , Máté Farkas

Certifying maximal quantum randomness without assumptions about system dimension remains a pivotal challenge for secure communication and foundational studies. Here, we introduce a generalized framework to directly certify maximal…

Quantum Physics · Physics 2025-07-15 Tianqi Zheng , Yi Li , Yu Xiang , Qiongyi He

In a recent paper published last october 2015 by B.Hensen et al. [1] and in two companion papers published last december 2015 by B.Hensen et al. [2] and by L. Shalm et al. [3], the authors describe beautiful and complex experiments aimed at…

Quantum Physics · Physics 2016-05-31 M. Iannuzzi

An experimental scheme is proposed to test Bell's inequality by using superconducting nanocircuits. In this scheme, quantum entanglement of a pair of charge qubits separated in a sufficient long distance may be created by cavity quantum…

Quantum Physics · Physics 2009-11-10 Guang-Ping He , Shi-Liang Zhu , Z. D. Wang , Hua-Zhong Li

In many quantum information applications, a minimum detection efficiency must be exceeded to ensure success. Protocols depending on the violation of a Bell inequality, for instance, may be subject to the so-called detection loophole:…

Quantum Physics · Physics 2017-06-29 Jochen Szangolies , Hermann Kampermann , Dagmar Bruß

No-signaling is a consequence of the no-communication theorem that states that bipartite systems cannot transfer information unless a communication channel exists. It is also a by-product of the assumptions of Bell theorem about quantum…

Quantum Physics · Physics 2025-05-28 Tomasz Rybotycki , Tomasz Białecki , Josep Batle , Adam Bednorz

Bell inequality is a mathematical inequality derived using the assumptions of locality and realism. Its violation guarantees the existence of quantum correlations in a quantum state. Bell inequality acts as an entanglement witness in the…

Quantum Physics · Physics 2016-07-29 Kaifeng Bu , Asutosh Kumar , Junde Wu

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

A model for experiments testing Bell Inequalities is presented that does not involve nonlocal effects. It constitutes essentially a physical explanation of a "loophole" in the logic of these experiments, which, if not excluded, in principle…

General Physics · Physics 2015-03-17 A. F. Kracklauer

We consider the problem of certifying measurement incompatibility in a prepare-and-measure (PM) scenario. We present different families of sets of qubit measurements which are incompatible, but cannot lead to any quantum over classical…

Quantum Physics · Physics 2025-09-22 Sophie Egelhaaf , Jef Pauwels , Marco Túlio Quintino , Roope Uola

One of the most striking non-classical features of quantum mechanics is in the correlations it predicts between spatially separated measurements. In local hidden variable theories, correlations are constrained by Bell inequalities, but…

Quantum Physics · Physics 2011-09-16 Matty J. Hoban , Dan E. Browne

We provide a novel criterion for identifying quantum correlation, which allows us to find connections between Bell type inequalities, entanglement detection, and correlation. We utilize the criterion to construct witness operators that can…

Quantum Physics · Physics 2007-05-23 Che-Ming Li , Li-Yi Hsu , Wei-Yang Lin , Yueh-Nan Chen , Der-San Chuu , Tobias Brandes

Incompatibility of observables, or measurements, is one of the key features of quantum mechanics, related, among other concepts, to Heisenberg's uncertainty relations and Bell nonlocality. In this manuscript we show, however, that even…

Quantum Physics · Physics 2019-05-01 Tassius Temistocles , Rafael Rabelo , Marcelo Terra Cunha
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