Tripartite quantum state violating the hidden-influence constraints

@article{Barnea2013TripartiteQS,
  title={Tripartite quantum state violating the hidden-influence constraints},
  author={Tomer Jack Barnea and Jean-Daniel Bancal and Yeong-Cherng Liang and Nicolas Gisin},
  journal={Physical Review A},
  year={2013},
  volume={88},
  pages={022123}
}
The possibility to explain quantum correlations via (possibly) unknown causal influences propagating gradually and continuously at a finite speed v>c has attracted some attention recently. In particular, it could be shown that this assumption leads to correlations that can be exploited for superluminal communication. This was achieved studying the set of possible correlations that are allowed within such a model and comparing them to correlations produced by local measurements on a four-party… Expand

Figures and Tables from this paper

Non-locality of experimental qutrit pairs
The insight due to John Bell that the joint behavior of individually measured entangled quantum systems cannot be explained by shared information remains a mystery to this day. We describe anExpand
Measurements of entanglement over a kilometric distance to test superluminal models of Quantum Mechanics: preliminary results.
As shown in the EPR paper (Einstein, Podolsky e Rosen, 1935), Quantum Mechanics is a non-local Theory. The Bell theorem and the successive experiments ruled out the possibility of explaining quantumExpand
Multipartite nonlocality as a resource and quantum correlations having indefinite causal order
The characterization of quantum correlations in terms of information-theoretic resource has been a fruitful approach to understand the power of quantum correlations as a resource. While bipartiteExpand
Self-testing using only marginal information
The partial states of a multipartite quantum state may carry a lot of information: in some cases, they determine the global state uniquely. This result is known for tomographic information, that isExpand
Strong Constraints on Models that Explain the Violation of Bell Inequalities with Hidden Superluminal Influences
We discuss models that attempt to provide an explanation for the violation of Bell inequalities at a distance in terms of hidden influences. These models reproduce the quantum correlations in mostExpand
Extending quantum mechanics entails extending special relativity
The complementarity between signaling and randomness in any communicated resource that can simulate singlet statistics is generalized by relaxing the assumption of free will in the choice ofExpand
The relativistic causality versus no-signaling paradigm for multi-party correlations
TLDR
It is shown that, in the multipartite setting, the no-signalling condition is in general stronger than demanding relativistic causality in multi-party correlations, i.e., the rule that correlations do not allow casual loops. Expand
Optimal measurements for nonlocal correlations
TLDR
A simple method for maximizing the non local capacity over a given configuration space and, in particular, over a set of possible measurements, yielding the corresponding optimal setup is presented and it is shown that there is a functional relationship between Bell violation and nonlocal capacity. Expand
Natural Framework for Device-Independent Quantification of Quantum Steerability, Measurement Incompatibility, and Self-Testing.
TLDR
By proving a quantitative relationship between steering robustness and the recently introduced incompatibility robustness, this approach immediately provides a device-independent lower bound on the generalized robustness of entanglement, as well as the usefulness of the underlying quantum state for a type of subchannel discrimination problem. Expand
...
1
2
3
...

References

SHOWING 1-10 OF 54 REFERENCES
Superluminal influences, hidden variables, and signaling
Abstract We consider alternative models to quantum mechanics, that have been proposed in the recent years in order to explain the EPR correlations between two particles. These models allow inExpand
Superluminal hidden communication as the underlying mechanism for quantum correlations: Constraining models
Since Bell's theorem, it is known that quantum correlations cannot be described by local variables (LV) alone: if one does not want to abandon classical mechanisms for correlations, a superluminalExpand
Monogamy of non-local quantum correlations
  • B. Toner
  • Mathematics, Physics
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
  • 2008
We describe a new technique for obtaining Tsirelson bounds, which are upper bounds on the quantum value of a Bell inequality. Since quantum correlations do not allow signalling, we obtain a TsirelsonExpand
Bounding the set of quantum correlations.
We introduce a hierarchy of conditions necessarily satisfied by any distribution P_{alphabeta} representing the probabilities for two separate observers to obtain outcomes alpha and beta when makingExpand
Testing the speed of ‘spooky action at a distance’
TLDR
This work performed a Bell test over more than 24 hours between two villages separated by 18 km and approximately east–west oriented, with the source located precisely in the middle and continuously observed two-photon interferences well above the Bell inequality threshold. Expand
Nonlocal correlations as an information-theoretic resource
It is well known that measurements performed on spatially separated entangled quantum systems can give rise to correlations that are nonlocal, in the sense that a Bell inequality is violated. TheyExpand
Quantum non-locality based on finite-speed causal influences leads to superluminal signalling
Non-local quantum correlations between distant particles cannot be explained by signals propagating slower than the speed of light. It is now shown that they cannot be explained by hidden influencesExpand
A lower bound for the velocity of quantum communications in the preferred frame
Abstract An EPR experiment with polarized entangled photons is performed to test the Eberhard model. According to the Eberhard model, quantum correlations between space-like separated events are dueExpand
On the Problem of Hidden Variables in Quantum Mechanics
The demonstrations of von Neumann and others, that quantum mechanics does not permit a hidden variable interpretation, are reconsidered. It is shown that their essential axioms are unreasonable. ItExpand
General properties of nonsignaling theories
This article identifies a series of properties common to all theories that do not allow for superluminal signaling and predict the violation of Bell inequalities. Intrinsic randomness, uncertaintyExpand
...
1
2
3
4
5
...