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The ability to produce random numbers that are unknown to any outside party is crucial for many applications. Device-independent randomness generation does not require trusted devices and therefore provides strong guarantees of the security…

It is generally assumed that sources sending randomly two particles to one or two different observers, named here random destination sources (RDS), cannot by used for genuine quantum nonlocality tests because of the postselection loophole.…

Quantum Physics · Physics 2011-03-23 F. Sciarrino , G. Vallone , A. Cabello , P. Mataloni

Recently, a group of experiments tested local realism with random choices prepared by humans. These various tests were subject to additional assumptions, which lead to loopholes in the interpretations of almost all of the experiments. Among…

Quantum Physics · Physics 2020-09-08 Stanisław Sołtan , Dawid Dopierała , Adam Bednorz

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

Two measures of fidelity are proposed for postselecting devices, the retrodictive conditional probability that the state in the measurement arm is the one indicated by the detectors, and the probability that the device produces the state…

Quantum Physics · Physics 2009-11-13 John Jeffers

Device-independent quantum key distribution (QKD) can permit the superior security even with unknown devices. In practice, however, the realization of device-independent QKD is technically challenging because of its low noise tolerance. In…

Quantum Physics · Physics 2022-03-22 Feihu Xu , Yu-Zhe Zhang , Qiang Zhang , Jian-Wei Pan

Understanding the physical world fundamentally relies on the assumption that events are temporally ordered, with past events serving as causes for future ones. However, quantum mechanics permits events to occur in a superposition of causal…

Quantum Physics · Physics 2025-08-07 Dengke Qu , Quan Lin , Lei Xiao , Xiang Zhan , Peng Xue

Machine learning systems are increasingly being used to make impactful decisions such as loan applications and criminal justice risk assessments, and as such, ensuring fairness of these systems is critical. This is often challenging as the…

Machine Learning · Computer Science 2020-12-18 YooJung Choi , Meihua Dang , Guy Van den Broeck

We propose and demonstrate a linear optical device which deterministically performs optimal quantum measurement or minimum disturbance measurement on a single-photon polarization qubit with the help of an ancillary path qubit introduced to…

Quantum Physics · Physics 2009-11-13 So-Young Baek , Yong Wook Cheong , Yoon-Ho Kim

Device-independent quantum key distribution allows for proving the security of a shared cryptographic key between two distant parties with potentially untrusted devices. The security proof is based on the measurement outcome statistics…

Quantum Physics · Physics 2023-10-23 Máté Farkas

Statistical hypothesis testing serves as statistical evidence for scientific innovation. However, if the reported results are intentionally biased, hypothesis testing no longer controls the rate of false discovery. In particular, we study…

Methodology · Statistics 2018-10-12 Junpei Komiyama , Takanori Maehara

The majority of recent works investigating the link between non-locality and randomness, e.g. in the context of device-independent cryptography, do so with respect to some specific Bell inequality, usually the CHSH inequality. However, the…

Quantum Physics · Physics 2014-01-23 O. Nieto-Silleras , S. Pironio , J. Silman

Bell nonlocality as a resource for device independent certification schemes has been studied extensively in recent years. The strongest form of device independent certification is referred to as self-testing, which given a device certifies…

Quantum Physics · Physics 2021-12-15 Shubhayan Sarkar , Debashis Saha , Jędrzej Kaniewski , Remigiusz Augusiak

Besides well-known conditions of locality or factorisability, deriving the Bell inequalities requires assuming that the distribution of hidden variables and Alice's and Bob's measurement settings be independent of each other. We show that…

Quantum Physics · Physics 2026-02-13 G. Bacciagaluppi , R. Hermens , G. Leegwater

Successful realization of Bell tests has settled an 80-year-long debate, proving the existence of correlations which cannot be explained by a local realistic model. Recent experimental progress allowed to rule out any possible loopholes in…

Entanglement is an invaluable resource for fundamental tests of physics and the implementation of quantum information protocols such as device-independent secure communications. In particular, time-bin entanglement is widely exploited to…

Experimental tests of Bell inequalities ought to take into account all detection events. If the latter are postselected, and only some of these events are included in the statistical analysis, a Bell inequality may be violated, even by…

Quantum Physics · Physics 2007-05-23 Asher Peres

We consider testing whether a set of Gaussian variables, selected from the data, is independent of the remaining variables. We assume that this set is selected via a very simple approach that is commonly used across scientific disciplines:…

Methodology · Statistics 2022-11-04 Arkajyoti Saha , Daniela Witten , Jacob Bien

Bell non-local correlations cannot be naturally explained in a fixed causal structure. This serves as a motivation for considering models where no global assumption is made beyond logical consistency. The assumption of a fixed causal order…

Quantum Physics · Physics 2016-04-06 Ämin Baumeler , Stefan Wolf

We develop a general approach to valid inference after model selection. At the core of our framework is a result that characterizes the distribution of a post-selection estimator conditioned on the selection event. We specialize the…

Statistics Theory · Mathematics 2016-05-04 Jason D. Lee , Dennis L. Sun , Yuekai Sun , Jonathan E. Taylor