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We consider testing and learning problems on causal Bayesian networks as defined by Pearl (Pearl, 2009). Given a causal Bayesian network $\mathcal{M}$ on a graph with $n$ discrete variables and bounded in-degree and bounded `confounded…

数据结构与算法 · 计算机科学 2018-05-25 Jayadev Acharya , Arnab Bhattacharyya , Constantinos Daskalakis , Saravanan Kandasamy

Analyzing the geometry of correlation sets constrained by general causal structures is of paramount importance for foundational and quantum technology research. Addressing this task is generally challenging, prompting the development of…

It is well known that measurements performed on spatially separated entangled quantum systems can give rise to correlations that are non-local, in the sense that a Bell inequality is violated. They cannot, however, be used for super-luminal…

量子物理 · 物理学 2007-10-22 Jonathan Barrett , Noah Linden , Serge Massar , Stefano Pironio , Sandu Popescu , David Roberts

Departing from the usual paradigm of local operations and classical communication adopted in entanglement theory, here we study the interconversion of quantum states by means of local operations and shared randomness. A set of necessary and…

量子物理 · 物理学 2012-05-18 Francesco Buscemi

Entanglement swapping entangles two particles that have never interacted[1], which implicitly assumes that each particle carries an independent local hidden variable, i.e., the presence of bilocality[2]. Previous experimental studies of…

Quantum correlations provide dramatic advantage over the corresponding classical resources in several communication tasks. However a broad class of probabilistic theories exists that attributes greater success than quantum theory in many of…

量子物理 · 物理学 2020-11-09 Sutapa Saha , Some Sankar Bhattacharya , Tamal Guha , Saronath Halder , Manik Banik

Self-testing is a method to characterise an arbitrary quantum system based only on its classical input-output correlations, and plays an important role in device-independent quantum information processing as well as quantum complexity…

量子物理 · 物理学 2022-05-18 Tony Metger , Thomas Vidick

Causal discovery from i.i.d. observational data is known to be generally ill-posed. We demonstrate that if we have access to the distribution {induced} by a structural causal model, and additional data from (in the best case) \textit{only…

机器学习 · 统计学 2026-05-15 Francesco Montagna

Standard diffusion models are flexible estimators of complex distributions, but they do not encode causal structures and therefore do not by themselves support causal analysis. We propose a causality-encoded diffusion framework that…

统计方法学 · 统计学 2026-04-24 Li Chen , Xiaotong Shen , Wei Pan

Large-scale multisource networks have been employed to overcome the practical constraints that entangled systems are difficult to faithfully transmit over large distance or store in long time. However, a full characterization of the…

量子物理 · 物理学 2020-07-14 Ming-Xing Luo

In this paper we study an application of an information distance between two measurements to the problem of non-contextuality and local realism. We postulate the triangle principle which states that any information distance is well defined…

量子物理 · 物理学 2013-09-27 Pawel Kurzynski , Dagomir Kaszlikowski

Growing at a fast pace, modern autonomous systems will soon be deployed at scale, opening up the possibility for cooperative multi-agent systems. Sharing information and distributing workloads allow autonomous agents to better perform tasks…

机器学习 · 计算机科学 2021-10-13 James Tu , Tsunhsuan Wang , Jingkang Wang , Sivabalan Manivasagam , Mengye Ren , Raquel Urtasun

We present a method to test quantum behavior of quantum information processing devices, such as quantum memories, teleportation devices, channels and quantum key distribution protocols. The test of quantum behavior can be phrased as the…

量子物理 · 物理学 2008-03-07 Hauke Häseler , Tobias Moroder , Norbert Lütkenhaus

Recently many simple principles have been proposed that can explain quantum limitations on possible sets of experimental probabilities in nonlocality and contextuality experiments. However, few implications between these principles are…

量子物理 · 物理学 2015-06-10 Joe Henson

We experimentally demonstrate that it is impossible to simulate quantum bipartite correlations with a deterministic universal Turing machine. Our approach is based on the Normalized Information Distance (NID) that allows the comparison of…

A communication game consists of distributed parties attempting to jointly complete a task with restricted communication. Such games are useful tools for studying limitations of physical theories. A theory exhibits preparation contextuality…

量子物理 · 物理学 2017-12-06 Alley Hameedi , Armin Tavakoli , Breno Marques , Mohamed Bourennane

Recently, several claims have been made that certain fundamental problems of distributed computing, including Leader Election and Distributed Consensus, begin to admit feasible and efficient solutions when the model of distributed…

量子物理 · 物理学 2009-03-09 Cyril Gavoille , Adrian Kosowski , Marcin Markiewicz

Evaluating the causal effect of an intervention on multivariate outcomes is challenging when the outcomes are interdependent and derived rather than directly observed. Effective connectivity, which summarizes the directional neural…

统计方法学 · 统计学 2026-04-02 Haiyue Song , Ani Eloyan , Youjin Lee

We study the fundamental limits to communication-efficient distributed methods for convex learning and optimization, under different assumptions on the information available to individual machines, and the types of functions considered. We…

机器学习 · 计算机科学 2015-10-29 Yossi Arjevani , Ohad Shamir

A central server needs to perform statistical inference based on samples that are distributed over multiple users who can each send a message of limited length to the center. We study problems of distribution learning and identity testing…

数据结构与算法 · 计算机科学 2020-10-02 Jayadev Acharya , Clément L. Canonne , Himanshu Tyagi
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