Causal Networks and Freedom of Choice in Bell’s Theorem

@article{Chaves2021CausalNA,
  title={Causal Networks and Freedom of Choice in Bell’s Theorem},
  author={Rafael Chaves and George Moreno and Emanuele Polino and Davide Poderini and Iris Agresti and Alessia Suprano and Mariana R. Barros and Gonzalo Carvacho and Elie Wolfe and Askery Canabarro and Robert W. Spekkens and Fabio Sciarrino},
  journal={PRX Quantum},
  year={2021}
}
Rafael Chaves, 2, ∗ George Moreno, Emanuele Polino, Davide Poderini, Iris Agresti, Alessia Suprano, Mariana R. Barros, Gonzalo Carvacho, Elie Wolfe, Askery Canabarro, 6 Robert W. Spekkens, and Fabio Sciarrino International Institute of Physics, Federal University of Rio Grande do Norte, 59078-970, P. O. Box 1613, Natal, Brazil School of Science and Technology, Federal University of Rio Grande do Norte, Natal, Brazil Dipartimento di Fisica Sapienza Università di Roma, P.le Aldo Moro 5, I-00185… 
Recycling nonlocality in a quantum network
Ya-Li Mao,1, 2, ∗ Zheng-Da Li,1, 2, ∗ Anna Steffinlongo,3, 4, 5 Bixiang Guo,1, 2 Biyao Liu,1, 2 Shufeng Xu,1, 2 Nicolas Gisin,6, 7, † Armin Tavakoli,4, 5, ‡ and Jingyun Fan1, 2, § Shenzhen Institute
Comment on Causal Networks and Freedom of Choice in Bell's Theorem
TLDR
It is correctly proved, that one can explain and quantify possible violation of MI without evoking super-determinism, and why MI should be called noncontextuality and why its violation in Bell Tests confirms only the contextual character of quantum observables.
Causal inference with imperfect instrumental variables
TLDR
This paper presents a meta-modelling simulation of the response of the immune system to quantum fluctuations in the presence of a proton-proton collision.
Experimental test of quantum causal influences
Since Bell’s theorem, it is known that local realism fails to explain quantum phenomena. Bell inequality violations manifestly show the incompatibility of quantum theory with classical notions of
Events in quantum mechanics are maximally non-absolute
The notorious quantum measurement problem brings out the difficulty to reconcile two quantum postulates: the unitary evolution of closed quantum systems and the wave-function collapse after a
Entanglement Swapping and Quantum Correlations via Symmetric Joint Measurements.
We use hyperentanglement to experimentally realize deterministic entanglement swapping based on quantum elegant joint measurements. These are joint projections of two qubits onto highly symmetric,
Quantum Walk Random Number Generation: Memory-based Models
  • M. Bae
  • Computer Science, Mathematics
  • 2022
TLDR
This paper analyzes SI-QW-QRNG protocols with a memory-based quantum walk state and shows some interesting behavior of the system depending on the size of the memory space and the number of quantum coins.

References

SHOWING 1-10 OF 82 REFERENCES
Beyond Bell’s Theorem II: Scenarios with Arbitrary Causal Structure
TLDR
It is found that it is possible to talk about classical correlations, quantum correlations and other kinds of correlations on any directed acyclic graph, and this captures various extensions of Bell scenarios that have been considered in the literature.
Unifying framework for relaxations of the causal assumptions in Bell's theorem.
TLDR
A conceptual and computational framework for treating quantum mechanical correlations, which employs the language of Bayesian networks to systematically construct alternative causal structures and bound the degree of relaxation using quantitative measures that originate from the mathematical theory of causality.
Causal hierarchy of multipartite Bell nonlocality
TLDR
This work employs the formalism of Bayesian networks to reveal connections among different causal structures that make a both practical and physically meaningful classification possible in multipartite Bell nonlocality.
Causal structures from entropic information: geometry and novel scenarios
TLDR
This paper treats Bell scenarios involving multiple parties and multiple observables per party, and exhibits inequalities for scenarios with extra conditional independence assumptions, as well as a limited amount of shared randomness between the parties.
Polynomial Bell Inequalities.
  • R. Chaves
  • Computer Science
    Physical review letters
  • 2016
TLDR
This work provides a new, general, and conceptually clear method for the derivation of polynomial Bell inequalities in a wide class of scenarios, and shows how the construction can be used to allow for relaxations of causal constraints and naturally gives rise to a notion of nonsignaling in generalized Bell networks.
Maximal qubit violation of n-locality inequalities in a star-shaped quantum network
Bell's theorem was a cornerstone for our understanding of quantum theory and the establishment of Bell non-locality played a crucial role in the development of quantum information. Recently, its
Experimental violation of n-locality in a star quantum network
TLDR
A chained n-locality inequality is violated in a network with five nodes and four independent sources, relying only on single-qubit measurements to witness the emergence of nonlocal correlations among the nodes of the implemented networks.
Inferring latent structures via information inequalities
TLDR
An information-theoretic approach is proposed, based on the insight that conditions on entropies of Bayesian networks take the form of simple linear inequalities, and an algorithm for deriving entropic tests for latent structures is described.
Nonlocal correlations in the star-network configuration
TLDR
This work considers a natural generalization of the bilocality scenario; namely, the star network consisting of a single central party surrounded by n edge parties, each of which shares an independent source with the center.
Bounding the Sets of Classical and Quantum Correlations in Networks.
TLDR
A method that allows the study of classical and quantum correlations in networks with causally independent parties, such as the scenario underlying entanglement swapping, is presented, which enables the use of the Navascués-Pironio-Acín hierarchy in complex quantum networks.
...
...