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Pusey, Barrett and Rudolph (PBR) have recently proven an important new theorem in the foundations of quantum mechanics. Here we propose alternative experimental protocols which lead to the PBR result for a special case and a weaker PBR-like…

Quantum Physics · Physics 2013-05-30 D. J. Miller

We show how one may test macroscopic local realism where, different from conventional Bell tests, all relevant measurements need only distinguish between two macroscopically distinct states of the system being measured. Here, measurements…

Quantum Physics · Physics 2024-12-13 M. Thenabadu , G-L. Cheng , T. L. H. Pham , L. V. Drummond , L. Rosales-Zárate , M. D. Reid

We put forward a novel calibration of p values, the "Adaptive Robust Lower Bound" (ARLB) which maps p values into approximations of posterior probabilities taking into account the effect of sample sizes. We build on the Robust Lower Bound…

Methodology · Statistics 2017-11-17 Luis R. Pericchi , Maria-Eglee Perez

The non-locality of quantum correlations is a fundamental feature of quantum theory. The Bell inequality serves as a benchmark for distinguishing between predictions made by quantum theory and local hidden variable theory (LHVT). Recent…

High Energy Physics - Experiment · Physics 2025-07-02 BESIII Collaboration , M. Ablikim , M. N. Achasov , P. Adlarson , X. C. Ai , R. Aliberti , A. Amoroso , M. R. An , Q. An , Y. Bai , O. Bakina , I. Balossino , Y. Ban , V. Batozskaya , K. Begzsuren , N. Berger , M. Berlowski , M. Bertani , D. Bettoni , F. Bianchi , E. Bianco , A. Bortone , I. Boyko , R. A. Briere , A. Brueggemann , H. Cai , X. Cai , A. Calcaterra , G. F. Cao , N. Cao , S. A. Cetin , J. F. Chang , T. T. Chang , W. L. Chang , G. R. Che , G. Chelkov , C. Chen , Chao Chen , G. Chen , H. S. Chen , M. L. Chen , S. J. Chen , S. M. Chen , T. Chen , X. R. Chen , X. T. Chen , Y. B. Chen , Y. Q. Chen , Z. J. Chen , W. S. Cheng , S. K. Choi , X. Chu , G. Cibinetto , S. C. Coen , F. Cossio , J. J. Cui , H. L. Dai , J. P. Dai , A. Dbeyssi , R. E. de Boer , D. Dedovich , Z. Y. Deng , A. Denig , I. Denysenko , M. Destefanis , F. DeMori , B. Ding , X. X. Ding , Y. Ding , Y. Ding , J. Dong , L. Y. Dong , M. Y. Dong , X. Dong , M. C. Du , S. X. Du , Z. H. Duan , P. Egorov , Y. L. Fan , J. Fang , S. S. Fang , W. X. Fang , Y. Fang , R. Farinelli , L. Fava , F. Feldbauer , G. Felici , C. Q. Feng , J. H. Feng , K. Fischer , M. Fritsch , C. Fritzsch , C. D. Fu , J. L. Fu , Y. W. Fu , H. Gao , Y. N. Gao , YangGao , S. Garbolino , I. Garzia , P. T. Ge , Z. W. Ge , C. Geng , E. M. Gersabeck , AGilman , K. Goetzen , L. Gong , W. X. Gong , W. Gradl , S. Gramigna , M. Greco , M. H. Gu , C. YGuan , Z. L. Guan , A. Q. Guo , L. B. Guo , M. J. Guo , R. P. Guo , Y. P. Guo , A. Guskov , T. T. Han , W. Y. Han , X. Q. Hao , F. A. Harris , K. K. He , K. L. He , F. HH. . Heinsius , C. H. Heinz , Y. K. Heng , C. Herold , T. Holtmann , P. C. Hong , G. Y. Hou , X. T. Hou , Y. R. Hou , Z. L. Hou , H. M. Hu , J. F. Hu , T. Hu , Y. Hu , G. S. Huang , K. X. Huang , L. Q. Huang , X. T. Huang , Y. P. Huang , T. Hussain , NHüsken , W. Imoehl , J. Jackson , S. Jaeger , S. Janchiv , J. H. Jeong , Q. Ji , Q. P. Ji , X. B. Ji , X. L. Ji , Y. Y. 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Opto- and electromechanical systems offer an effective platform to test quantum theory and its predictions at macroscopic scales. To date, all experiments presuppose the validity of quantum mechanics, but could in principle be described by…

Quantum Physics · Physics 2016-02-24 Sebastian G. Hofer , Konrad W. Lehnert , Klemens Hammerer

Superior computational power promised by quantum computers utilises the fundamental quantum mechanical principle of entanglement. However, achieving entanglement and verifying that the generated state does not follow the principle of local…

In this talk we discuss the predictions of local realistic theories for the evolution of a K0-K0bar quantum entangled pair created in the decay of the phi-meson. It is shown, in agreement with Bell's theorem, that the most general local…

Quantum Physics · Physics 2007-05-23 G. Garbarino

Increased availability of data and accessibility of computational tools in recent years have created unprecedented opportunities for scientific research driven by statistical analysis. Inherent limitations of statistics impose constrains on…

Genomics · Quantitative Biology 2016-09-13 Olga A. Vsevolozhskaya , Gabriel Ruiz , Dmitri V. Zaykin

Bell tests---the experimental demonstration of a Bell inequality violation---are central to understanding the foundations of quantum mechanics, underpin quantum technologies, and are a powerful diagnostic tool for technological developments…

It has long been known that the "detection loophole", present when detector efficiencies are below a critical figure, could open the way for alternative "local realist" explanations for the violation of Bell tests. It has in recent years…

Quantum Physics · Physics 2007-05-23 Caroline H. Thompson , Horst Holstein

The standard Bell inequality experiments test for violation of local realism by repeatedly making local measurements on individual copies of an entangled quantum state. Here we investigate the possibility of increasing the violation of a…

Quantum Physics · Physics 2007-05-23 Yeong-Cherng Liang , Andrew C. Doherty

The empirical proof of Bell inequality violations was a landmark moment for research into quantum foundations. It commits us to a universe without strict relativistic locality or requires that we escape through a potential loophole like…

Quantum Physics · Physics 2026-05-29 Geoff Beck

Quantum mechanics is a nonlocal theory, but not as nonlocal as the no-signalling principle allows. However, there exist quantum correlations that exhibit maximal nonlocality: they are as nonlocal as any non-signalling correlations and thus…

Relying on some auxiliary assumptions, usually considered mild, Bell's theorem proves that no local theory can reproduce all the predictions of quantum mechanics. In this work, we introduce a fully local, superdeterministic model that, by…

Quantum Physics · Physics 2020-08-04 G. S. Ciepielewski , E. Okon , D. Sudarsky

According to the Bell theorem, local hidden variable theories cannot reproduce all the predictions of quantum mechanics. An important consequence is that under physically reasonable assumptions quantum mechanics predicts correlations that…

Quantum Physics · Physics 2008-04-07 Frederick H. Willeboordse

Bell's theorem guarantees that no model based on local variables can reproduce quantum correlations. Also some models based on non-local variables, if subject to apparently "reasonable" constraints, may fail to reproduce quantum physics. In…

Randomized benchmarking and variants thereof, which we collectively call RB+, are widely used to characterize the performance of quantum computers because they are simple, scalable, and robust to state-preparation and measurement errors.…

Quantum Physics · Physics 2019-06-05 Robin Harper , Ian Hincks , Chris Ferrie , Steven T. Flammia , Joel J. Wallman

Quantum learning encounters fundamental challenges when estimating non-linear properties, owing to the inherent linearity of quantum mechanics. Although recent advances in single-copy randomized measurement protocols have achieved optimal…

Quantum Physics · Physics 2026-03-30 Zhenyu Du , Yifan Tang , Andreas Elben , Ingo Roth , Jens Eisert , Zhenhuan Liu

We present an exhaustive numerical analysis of violations of local realism by families of multipartite quantum states. As an indicator of nonclassicality we employ the probability of violation for randomly sampled observables. Surprisingly,…

Quantum Physics · Physics 2017-07-07 Anna de Rosier , Jacek Gruca , Fernando Parisio , Tamas Vertesi , Wieslaw Laskowski

The Bell inequality constrains the outcomes of measurements on pairs of distant entangled particles. The Bell contradiction states that the Bell inequality is inconsistent with the calculated outcomes of these quantum experiments. This…

Quantum Physics · Physics 2026-03-03 Kees van Hee , Kees van Berkel , Jan de Graaf