Any physical theory of nature must be boundlessly multipartite nonlocal

  title={Any physical theory of nature must be boundlessly multipartite nonlocal},
  author={Xavier Coiteux-Roy and Elie Wolfe and Marc-Olivier Renou},
  journal={Physical Review A},
We introduce the class of Genuinely Local Operation and Shared Randomness (LOSR) Multipartite Nonlocal correlations, that is, correlations between N parties that cannot be obtained from unlimited shared randomness supplemented by any composition of (N−1)-shared causal Generalized-ProbabilisticTheory (GPT) resources. We then show that noisy N -partite GHZ quantum states as well as the 3-partite W quantum state can produce such correlations. This proves, if the operational predictions of quantum… 

Figures from this paper

Experimental Demonstration that No Tripartite-Nonlocal Causal Theory Explains Nature's Correlations.

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.

Experimental Demonstration of Genuine Tripartite Nonlocality under Strict Locality Conditions.

Nonlocality captures one of the counterintuitive features of nature that defies classical intuition. Recent investigations reveal that our physical world's nonlocality is at least tripartite; i.e.,

Nonlocality for Generic Networks.

Bell's theorem shows that correlations created by a single entangled quantum state cannot be reproduced classically. Such correlations are called nonlocal. They are the elementary manifestation of a

No Bipartite-Nonlocal Causal Theory Can Explain Nature's Correlations.

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

Test of Genuine Multipartite Nonlocality.

While Bell nonlocality of a bipartite system is counterintuitive, multipartite nonlocality in our many-body world turns out to be even more so. Recent theoretical study reveals in a theory-agnostic

Network nonlocality via rigidity of token counting and color matching

This paper introduces two families of strategies to produce nonlocal correlations in networks and shows that TC and CM distributions are rigidity in wide classes of networks, meaning that there is essentially a unique classical strategy to simulate such correlations.

Two convergent NPA-like hierarchies for the quantum bilocal scenario

A new hierarchy of necessary conditions is introduced, its equivalence to the Scalar Extension is proved and its convergence in the case of the simplest network, the bilocal scenario is characterised.

Outer approximations of classical multi-network correlations

It is shown that the postselected inflation framework is mathematically equivalent to the standard inflation framework: in that respect, it allow to gain further insights into the convergence proof of the inflation hierarchy of Navascuès and Wolfe, and extend it to the case of multi-network scenarios.

Nature’s nonlocality must be boundlessly multipartite: an experimental demonstration under strict locality condition

Liang Huang∗,1, 2, 3 Xue-Mei Gu∗,1, 2, 3 Yang-Fan Jiang∗,4 Dian Wu, 2, 3 Bing Bai, 2, 3 Ming-Cheng Chen, 2, 3 Qi-Chao Sun, 2, 3 Jun Zhang, 2, 3 Sixia Yu, 2, 3 Qiang Zhang, 2, 3 Chao-Yang Lu, 2, 3 and



No Bipartite-Nonlocal Causal Theory Can Explain Nature's Correlations.

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

Genuine Network Multipartite Entanglement.

This work proposes an alternative definition for genuine multipartite entanglement, whereby a quantum state is genuinely network k-entangled if it cannot be produced by applying local trace-preserving maps over several (k-1)-partite states distributed among the parties, even with the aid of global shared randomness.

Genuine Multipartite Nonlocality Is Intrinsic to Quantum Networks.

It is found that any network where the parties are connected by bipartite pure entangled states is genuine multipartite nonlocal, independently of the amount of entanglement in the shared states and of the topology of the network.

A resource theory of quantum memories and their faithful verification with minimal assumptions

A complete set of game-theoretic conditions equivalent to the existence of a transformation from one quantum channel into another one, by means of classically correlated pre/post processing maps only, are provided, mirroring the resource theory of entanglement in quantum states.

Quantifying multipartite nonlocality via the size of the resource

The generation of (Bell-)nonlocal correlations, i.e., correlations leading to the violation of a Bell-like inequality, requires the usage of a nonlocal resource, such as an entangled state. When

Why standard entanglement theory is inappropriate for the study of Bell scenarios

It is argued that, in spite of the near-universal endorsement of the LOCC paradigm by the quantum information community, this is the wrong choice for one of the most prominent applications of entanglement theory, namely, the study of Bell scenarios and the nonclassicality of correlations should be quantified instead by local operations and shared randomness (LOSR).

Constraints on nonlocality in networks from no-signaling and independence

This work investigates constraints on correlations in networks under the natural assumptions of no-signaling and independence of the sources, and applies inflation technique to the no-input/binary-output triangle network, and shows that it admits non-trilocal distributions.

Ruling out bipartite nonsignaling nonlocal models for tripartite correlations

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

Genuine Quantum Nonlocality in the Triangle Network.

Novel examples of "quantum nonlocality without inputs" are presented, which are believed to represent a new form of quantum nonLocality, genuine to networks.

Elemental and tight monogamy relations in nonsignaling theories

Physical principles constrain the way nonlocal correlations can be distributed among distant parties. These constraints are usually expressed by monogamy relations that bound the amount of Bell