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No Bipartite-Nonlocal Causal Theory Can Explain Nature's Correlations [article]

Xavier Coiteux-Roy, Elie Wolfe, Marc-Olivier Renou
2021 arXiv   pre-print
We show that some tripartite quantum correlations are inexplicable by any causal theory involving bipartite nonclassical common causes and unlimited shared randomness.  ...  This constitutes a device-independent proof that Nature's nonlocality is fundamentally at least tripartite in every conceivable physical theory - no matter how exotic.  ...  bipartite, and (2) some tripartite resource, albeit possibly classical.  ... 
arXiv:2105.09381v2 fatcat:e7iqsyls6rfe3aairucztcmvlu

Resource characterisation of quantum entanglement and nonlocality in multipartite settings [article]

Patricia Contreras Tejada
2022 arXiv   pre-print
Quantum technologies are enjoying an unprecedented popularity, and some applications are already in the market.  ...  This thesis studies two phenomena that are behind a lot of quantum technologies: entanglement and nonlocality.  ...  can be generated using only classical resources, while quantum distributions can be generated using only quantum resources.  ... 
arXiv:2206.11852v1 fatcat:4swovtdna5ed3ckcyseaclscim

Guess your neighbour's input: no quantum advantage but an advantage for quantum theory [article]

Antonio Acín, Mafalda L. Almeida, Remigiusz Augusiak, Nicolas Brunner
2012 arXiv   pre-print
In this mindset, it is thus natural to focus on tasks where quantum resources provide an advantage over classical ones, and to overlook tasks where quantum mechanics provides no advantage.  ...  The game also finds unexpected applications in quantum foundations and quantum information theory, related to Gleason's theorem, and to bound entanglement and unextendible product bases.  ...  This work was supported by the ERC starting grant PERCENT, the EU AQUTE and QCS projects, the Spanish CHIST-ERA DIQIP, FIS2008-00784 and FIS2010-14830 projects, and the UK EPSRC. R.  ... 
arXiv:1205.3076v1 fatcat:kolckw7wlvezblay52rivkhvnq

Entropic Nonsignaling Correlations

Rafael Chaves, Costantino Budroni
2016 Physical Review Letters  
In particular, we apply the framework to derive the first entropic inequality testing genuine tripartite nonlocality in quantum systems of arbitrary dimension and also prove the first known monogamy relation  ...  We characterize and show the relevance of these entropic correlations in a variety of different scenarios, ranging from typical Bell experiments to more refined descriptions such as bilocality and information  ...  In the sections below, we describe in details the entropic NS cone in the bipartite and tripartite scenario, and the hybrid local-nonsignalling models.  ... 
doi:10.1103/physrevlett.116.240501 pmid:27367370 fatcat:doq7qugbofhq5g5d3l3jughjwe

Any Physical Theory of Nature Must Be Boundlessly Multipartite Nonlocal [article]

Xavier Coiteux-Roy, Elie Wolfe, Marc-Olivier Renou
2021 arXiv   pre-print
This proves, if the operational predictions of quantum theory are correct, that Nature's nonlocality must be boundlessly multipartite in any causal GPT.  ...  randomness supplemented by any composition of (N-1)-shared causal Generalized-Probabilistic-Theory (GPT) resources.  ...  We look exclusively at the third game and show that simulating perfectly the image of the classical W distribution in the LOSR framework with bipartite resources leads to the upper bound Eλ(f λ AB +f λ  ... 
arXiv:2105.09380v2 fatcat:shvvrv4cjvgchd3w7byo7na6iy

Tight Limits on Nonlocality from Nontrivial Communication Complexity; a.k.a. Reliable Computation with Asymmetric Gate Noise [article]

Noah Shutty, Mary Wootters, Patrick Hayden
2020 arXiv   pre-print
First, we exhibit a nonlocal game such that communication complexity collapses in any physical theory whose maximal winning probability exceeds the quantum value.  ...  formulas of noise-free XOR gates and ε-noisy AND gates.  ...  We thank the Stanford Research Computing Center and Google for providing computing resources. We also thank anonymous reviewers for helpful comments and suggestions.  ... 
arXiv:1809.09748v4 fatcat:vn6n5qhdfrh2fakryvlqzt7juy

Classical, Quantum and Non-signalling Resources in Bipartite Games

Gilles Brassard, Anne Broadbent, Esther Hanggi, Andre Allan Methot, Stefan Wolf
2008 Second International Conference on Quantum, Nano and Micro Technologies (ICQNM 2008)  
We study bipartite games that arise in the context of nonlocality with the help of graph theory.  ...  We discuss relations between quantum winning strategies and orthogonality graphs.  ...  Acknowledgements We thank Stefano Tessaro, Ben Toner and Gregor Weihs for helpful discussions.  ... 
doi:10.1109/icqnm.2008.18 dblp:conf/icqnm/BrassardBHMW08 fatcat:bjgmee3ccfettj24lwhh7kgyb4

Contextuality in entanglement-assisted one-shot classical communication [article]

Shiv Akshar Yadavalli, Ravi Kunjwal
2021 arXiv   pre-print
We then show a mapping between this communication task and a corresponding nonlocal game. This mapping generalizes the connection with pseudotelepathy games previously noted in the zero-error case.  ...  We show that preparation contextuality powers the quantum advantage in this task, increasing the one-shot success probability beyond its classical maximum.  ...  Research at Perimeter Institute is supported in part by the Government of Canada through the Department of Innovation, Science and Economic Development Canada and by the Province of Ontario through the  ... 
arXiv:2006.00469v3 fatcat:fymjyrmmazg2pbo4z7moviurla

Experimental Demonstration that No Tripartite-Nonlocal Causal Theory Explains Nature's Correlations [article]

Huan Cao, Marc-Olivier Renou, Chao Zhang, Gaël Massé, Xavier Coiteux-Roy, Bi-Heng Liu, Yun-Feng Huang, Chuan-Feng Li, Guang-Can Guo, Elie Wolfe
2022 arXiv   pre-print
Quantum theory predicts the existence of genuinely tripartite-entangled states, which cannot be obtained from local operations over any bipartite entangled states and unlimited shared randomness.  ...  We derive a new device-independent witness capable of falsifying causal theories wherein nonclassical resources are merely bipartite.  ...  In the formalism of quantum theory this role is fulfilled by bipartite entanglement, but any potential theory that would replace quantum theory will necessary include a resource akin to quantum bipartite  ... 
arXiv:2201.12754v2 fatcat:o427eio6ffakzkwzvzio3dfmia

Preface

Tal Mor, Alain Tapp
2012 Natural Computing  
Finally, we would very much like to thank Grzegorz Rozenberg, editor-in-chief of TCS-C and NACO, for much advice.  ...  We are especially grateful to Gilles Brassard who, in addition to contributing and refereeing papers and providing helpful remarks on this Preface, also acted as coeditor for two of the papers.  ...  The last paper ''Classical, quantum and nonsignalling resources in bipartite games'' by Brassard, Broadbent, Preface 3 Hänggi, Méthot and Wolf, considers bipartite non-local games (with various resources  ... 
doi:10.1007/s11047-012-9351-8 fatcat:53og4brntnd5fhqfr267e2nf5i

Experimental genuine tripartite nonlocality in a quantum triangle network [article]

Alessia Suprano, Davide Poderini, Emanuele Polino, Iris Agresti, Gonzalo Carvacho, Askery Canabarro, Elie Wolfe, Rafael Chaves, Fabio Sciarrino
2022 arXiv   pre-print
Quantum networks are the center of many of the recent advances in quantum science, not only leading to the discovery of new properties in the foundations of quantum theory but also allowing for novel communication  ...  It is known that networks beyond that in the paradigmatic Bell's theorem imply new and sometimes stronger forms of nonclassicality.  ...  This work was supported by The John Templeton Foundation via The Quantum Information Structure of Spacetime (QISS) Project (qiss.fr) (the opinions expressed in this publication are those of the author(  ... 
arXiv:2204.00388v1 fatcat:hip5c7otlvbwbmsmmk34fj5qiq

Toward correlation self-testing of quantum theory in the adaptive Clauser-Horne-Shimony-Holt game

Mirjam Weilenmann, Roger Colbeck
2020 Physical Review A  
For these, we find no theories that outperform quantum theory in the adaptive CHSH game and prove that it is impossible to recover the quantum performance in various cases.  ...  In [Phys. Rev. Lett. 125 060406 (2020)] we introduced a candidate task for this, the adaptive CHSH game.  ...  ACKNOWLEDGMENTS This work was supported by an Engineering and Physical Sciences Research Council (EPSRC) First grant (grant number EP/P016588/1) and by the Austrian Science fund (FWF) stand-alone project  ... 
doi:10.1103/physreva.102.022203 fatcat:e7zboeknj5bmjbi57icbchmkle

The operational significance of the quantum resource theory of Buscemi nonlocality [article]

Patryk Lipka-Bartosik, Andrés Ducuara, Tom Purves, Paul Skrzypczyk
2020 arXiv   pre-print
In a seminal paper [PRL 108, 200401 (2012)] F. Buscemi extended the standard Bell experiment by allowing Alice and Bob to be asked quantum, instead of classical, questions.  ...  In this work we study a resource theory of this type of nonlocality referred to as Buscemi nonlocality.  ...  In particular, in Appendix G we show that RoBN also quantifies the entanglement-assisted min-accessible information of a quantum-to-classical bipartite channel (i.e. a channel with quantum inputs and classical  ... 
arXiv:2010.04585v2 fatcat:6yc2vuf62fa6tidbx4d5ehfwnq

Unbounded Bell violations for quantum genuine multipartite non-locality [article]

Abderramán Amr, Carlos Palazuelos, Julio I. de Vicente
2020 arXiv   pre-print
The violations of Bell inequalities by measurements on quantum states give rise to the phenomenon of quantum non-locality and express the advantage of using quantum resources over classical ones for certain  ...  The relative degree of quantum violations has been well studied in the bipartite scenario and in the multipartite scenario with respect to fully local behaviours.  ...  The first one comes from the application to a pseudotelepathy game. That is, those bipartite games which can be won perfectly with quantum strategies but not with classical ones.  ... 
arXiv:2002.12614v1 fatcat:u3ffvwko35bmpddvv2yj3h24yy

The simplest causal inequalities and their violation

Cyril Branciard, Mateus Araújo, Adrien Feix, Fabio Costa, Časlav Brukner
2015 New Journal of Physics  
We fully characterize this causal polytope in the simplest case of bipartite correlations with binary inputs and outputs.  ...  In a scenario where two parties share, act on and exchange some physical resource, the assumption that the parties' actions are ordered according to a definite causal structure yields constraints on the  ...  Acknowledgments We thank Ognyan Oreshkov and Michal Sedlák for useful discussions. We acknowledge support from the  ... 
doi:10.1088/1367-2630/18/1/013008 fatcat:ulgntpzw5jajva42isvq5z2wmy
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