Ruling out Bipartite Nonsignaling Nonlocal Models for Tripartite
Correlations
- URL: http://arxiv.org/abs/2012.11132v2
- Date: Fri, 16 Jul 2021 16:57:03 GMT
- Title: Ruling out Bipartite Nonsignaling Nonlocal Models for Tripartite
Correlations
- Authors: Peter Bierhorst
- Abstract summary: Quantum mechanics predicts three-party correlations that admit no such simulation.
We show how to use the framework to derive Bell-inequality-type constraints on these correlations that can be robustly violated by tripartite quantum systems.
- Score: 0.0
- License: http://creativecommons.org/licenses/by-nc-nd/4.0/
- Abstract: 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 nonsignaling nonlocal behavior. Quantum
mechanics predicts three-party correlations that admit no such simulation,
suggesting there are versions of nonlocality in nature transcending the
phenomenon of bipartite nonsignaling nonlocality. This paper introduces a
rigorous framework for analyzing tripartite correlations that can be simulated
by bipartite-only networks. We confirm that expected properties of so-obtained
correlations, such as no-signaling, indeed hold, and show how to use the
framework to derive Bell-inequality-type constraints on these correlations that
can be robustly violated by tripartite quantum systems. In particular, we use
this framework to rederive a version of one such constraint previously
described in a paper of Chao and Reichardt (arXiv:1706.02008).
Related papers
- Relationship between average correlation and quantum steering for arbitrary two-qubit states [0.3749861135832073]
We establish the relationship between the average correlation and the violation of the three-setting linear steering inequality for two-qubit systems.
For a given class of states, the hierarchy of nonclassicality-steering-Bell nonlocality is demonstrated.
arXiv Detail & Related papers (2024-10-15T03:05:43Z) - Certifying nonlocal properties of noisy quantum operations [0.0]
We provide a unified framework to certify nonlocal properties of quantum channels from the correlations obtained in measurement protocols.
We study the effect of different models of dephasing noise, some of which are shown to generate nonlocality and entanglement in special cases.
arXiv Detail & Related papers (2024-07-02T18:00:06Z) - Applications of flow models to the generation of correlated lattice QCD ensembles [69.18453821764075]
Machine-learned normalizing flows can be used in the context of lattice quantum field theory to generate statistically correlated ensembles of lattice gauge fields at different action parameters.
This work demonstrates how these correlations can be exploited for variance reduction in the computation of observables.
arXiv Detail & Related papers (2024-01-19T18:33:52Z) - Quantum Nonlocality: Multi-copy Resource Inter-convertibility & Their Asymptotic Inequivalence [0.0]
We present instances of quantum nonlocal correlations that are incomparable in the strongest sense.
Remarkably, these incomparable quantum correlations can be obtained even in the simplest Bell scenario.
Our result challenges the notion of a 'unique gold coin', often referred to as the'maximally resourceful state'
arXiv Detail & Related papers (2023-10-25T05:57:44Z) - Detecting Nontrilocal Correlations In Triangle Networks [0.0]
Correlations in quantum networks with independent sources exhibit a completely novel form of nonclassicality.
A set of criteria is framed in the form of Bell-type inequalities, each of which is necessarily satisfied by trilocal correlations.
measurement on a local product state basis turns out to be sufficient to generate nontrilocal correlations in some quantum networks.
arXiv Detail & Related papers (2023-03-15T16:25:32Z) - Distilling Nonlocality in Quantum Correlations [0.0]
We study the prospect of nonlocality distillation, wherein, by applying a natural set of free operations (called wirings) on many copies of weakly nonlocal systems, one aims to generate correlations of higher nonlocal strength.
In the simplest Bell scenario, we identify a protocol, namely, logical OR-AND wiring, that can distil nonlocality to significantly high degree starting from arbitrarily weak quantum nonlocal correlations.
arXiv Detail & Related papers (2022-08-30T03:58:44Z) - Non-Gaussian superradiant transition via three-body ultrastrong coupling [62.997667081978825]
We introduce a class of quantum optical Hamiltonian characterized by three-body couplings.
We propose a circuit-QED scheme based on state-of-the-art technology that implements the considered model.
arXiv Detail & Related papers (2022-04-07T15:39:21Z) - Proofs of network quantum nonlocality aided by machine learning [68.8204255655161]
We show that the family of quantum triangle distributions of [DOI40103/PhysRevLett.123.140] did not admit triangle-local models in a larger range than the original proof.
We produce a large collection of network Bell inequalities for the triangle scenario with binary outcomes, which are of independent interest.
arXiv Detail & Related papers (2022-03-30T18:00:00Z) - The Interplay Between Implicit Bias and Benign Overfitting in Two-Layer
Linear Networks [51.1848572349154]
neural network models that perfectly fit noisy data can generalize well to unseen test data.
We consider interpolating two-layer linear neural networks trained with gradient flow on the squared loss and derive bounds on the excess risk.
arXiv Detail & Related papers (2021-08-25T22:01:01Z) - Transmon platform for quantum computing challenged by chaotic
fluctuations [55.41644538483948]
We investigate the stability of a variant of a many-body localized (MBL) phase for system parameters relevant to current quantum processors.
We find that these computing platforms are dangerously close to a phase of uncontrollable chaotic fluctuations.
arXiv Detail & Related papers (2020-12-10T19:00:03Z) - Tractable Inference in Credal Sentential Decision Diagrams [116.6516175350871]
Probabilistic sentential decision diagrams are logic circuits where the inputs of disjunctive gates are annotated by probability values.
We develop the credal sentential decision diagrams, a generalisation of their probabilistic counterpart that allows for replacing the local probabilities with credal sets of mass functions.
For a first empirical validation, we consider a simple application based on noisy seven-segment display images.
arXiv Detail & Related papers (2020-08-19T16:04:34Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.