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Randomized experiments have become a cornerstone of evidence-based decision-making in contexts ranging from online platforms to public health. However, in experimental settings with network interference, a unit's treatment can influence…

Machine Learning · Computer Science 2025-10-22 Sadegh Shirani , Yuwei Luo , William Overman , Ruoxuan Xiong , Mohsen Bayati

Study of nonlocal correlations in term of Hardy's argument has been quite popular in quantum mechanics. Recently Hardy's argument of non-locality has been studied in the context of generalized non-signaling theory as well as theory…

Quantum Physics · Physics 2013-01-17 MD. Rajjak Gazi , Ashutosh Rai , Samir Kunkri , Ramij Rahaman

The problem of distributed testing against independence with variable-length coding is considered when the \emph{average} and not the \emph{maximum} communication load is constrained as in previous works. The paper characterizes the optimum…

Information Theory · Computer Science 2020-05-19 Sadaf Salehkalaibar , Michele Wigger

Characterizing quantum nonlocality in networks is a challenging, but important problem. Using quantum sources one can achieve distributions which are unattainable classically. A key point in investigations is to decide whether an observed…

Quantum Physics · Physics 2020-09-08 Tamás Kriváchy , Yu Cai , Daniel Cavalcanti , Arash Tavakoli , Nicolas Gisin , Nicolas Brunner

Quantum correlations in networks with independent sources have revealed novel forms of nonclassical behavior. While entanglement in the sources is a necessary ingredient, the role played by entanglement in the measurements remains largely…

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

Identifying causal order from restricted projective data is generally nontrivial. When two quantum players interact only through an unobserved environment, the available local measurement statistics are typically not tomographically…

Quantum Physics · Physics 2026-05-07 Masahito Hayashi

Quantum theory is known to be nonlocal in the sense that separated parties can perform measurements on a shared quantum state to obtain correlated probability distributions, which cannot be achieved if the parties share only classical…

Quantum Physics · Physics 2016-03-02 John Matthew Donohue , Elie Wolfe

Information causality states that the information obtainable by a receiver cannot be greater than the communication bits from a sender, even if they utilize no-signaling resources. This physical principle successfully explains some…

Quantum Physics · Physics 2017-02-10 Satoshi Ishizaka

We study the effect of shared non-signaling correlations for the problem of simulating a channel using noiseless communication in the one-shot setting. For classical channels, we show how to round any non-signaling-assisted simulation…

Quantum Physics · Physics 2024-11-18 Aadil Oufkir , Omar Fawzi , Mario Berta

The results of behavioral experiments typically exhibit inconsistent connectedness, i.e., they violate the condition known as "no-signaling," "no-disturbance," or "marginal selectivity." This prevents one from evaluating these experiments…

Neurons and Cognition · Quantitative Biology 2017-09-05 Víctor H. Cervantes , Ehtibar N. Dzhafarov

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…

Quantum Physics · Physics 2025-01-08 Jianqi Sheng , Dongkai Zhang , Lixiang Chen

When conducting a Bell test, it is normal to assume that the preparation of the quantum state is independent of the measurements performed on it. Remarkably, the violation of local realism by entangled quantum systems can be certified even…

Quantum Physics · Physics 2016-09-28 Ernest Y. -Z. Tan , Yu Cai , Valerio Scarani

Recent progress in theories of quantum information has determined nonclassical correlation defined differently from widely-used entanglement as an important property to evaluate computation and communication with mixed quantum states. We…

Quantum Physics · Physics 2010-08-13 Robabeh Rahimi , Akira SaiToh

We study the role of interactivity in distributed statistical inference under information constraints, e.g., communication constraints and local differential privacy. We focus on the tasks of goodness-of-fit testing and estimation of…

Data Structures and Algorithms · Computer Science 2021-10-26 Jayadev Acharya , Clément L. Canonne , Yuhan Liu , Ziteng Sun , Himanshu Tyagi

Query-separated computation forces a representation to play an operational role: data are encoded before a query is known, and a later decoder can answer only through the intermediate interface. In this regime the representation functions…

Quantum Physics · Physics 2026-05-12 Jeongho Bang , Marcin Pawłowski

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…

Quantum Physics · Physics 2023-11-09 Sneha Munshi , A. K. Pan

Classical and quantum physics provide fundamentally different predictions about experiments with separate observers that do not communicate, a phenomenon known as quantum nonlocality. This insight is a key element of our present…

Quantum Physics · Physics 2017-02-17 Jonatan Bohr Brask , Rafael Chaves

Many three-party correlations, including some that are commonly described as genuinely tripartite nonlocal, can be simulated by a network of underlying subsystems that display only bipartite nonsignaling nonlocal behavior. Quantum mechanics…

Quantum Physics · Physics 2021-07-19 Peter Bierhorst

In practical situations, the reliability of quantum resources can be compromised due to complex generation processes or adversarial manipulations during transmission. Consequently, the trials generated sequentially in an experiment may…

Quantum Physics · Physics 2026-02-10 Yanbao Zhang , Akshay Seshadri , Emanuel Knill