Related papers: Symmetric hypergraph states: Entanglement quantification and robust Bell nonlocality

Symmetric hypergraph states: Entanglement quantification and robust Bell nonlocality

URL: http://arxiv.org/abs/2302.01695v1
Date: Fri, 3 Feb 2023 12:49:32 GMT
Title: Symmetric hypergraph states: Entanglement quantification and robust Bell nonlocality
Authors: Jan N\"oller, Otfried G\"uhne, Mariami Gachechiladze
Abstract summary: We quantify entanglement and nonlocality for large classes of quantum hypergraph states. We recognize the resemblance between symmetric graph states and symmetric hypergraph states.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
Abstract: Quantum hypergraph states are the natural generalization of graph states. Here we investigate and analytically quantify entanglement and nonlocality for large classes of quantum hypergraph states. More specifically, we connect the geometric measure of entanglement of symmetric hypergraphs to their local Pauli stabilizers. As a result we recognize the resemblance between symmetric graph states and symmetric hypergraph states, which explains both, exponentially increasing violation of local realism for infinitely many classes of hypergraph states and its robustness towards particle loss.

Related papers

Multipartite entanglement sudden death and birth in randomized hypergraph states [0.0]
We introduce and analyze the entanglement properties of randomized hypergraph states. We show that entanglement exhibits a non-monotonic behavior in terms of the randomness parameters.
arXiv Detail & Related papers (2023-10-31T12:45:26Z)
Hypergraph Structure Inference From Data Under Smoothness Prior [46.568839316694515]
We propose a method to infer the probability for each potential hyperedge without labelled data as supervision. We use this prior to derive the relation between the hypergraph structure and the node features via probabilistic modelling. Experiments on both synthetic and real-world data demonstrate that our method can learn meaningful hypergraph structures from data more efficiently than existing hypergraph structure inference methods.
arXiv Detail & Related papers (2023-08-27T18:28:58Z)
Magic of quantum hypergraph states [6.3109948645563465]
We analytically investigate the magic resource of archetypal multipartite quantum states -- quantum hypergraph states. Our study advances the understanding of multipartite quantum magic and could lead to applications in quantum computing and quantum many-body physics.
arXiv Detail & Related papers (2023-08-03T17:21:55Z)
Achieving Heisenberg limit in the phase measurement through three-qubit graph states [0.0]
We study the reciprocal of the mean quantum Fisher information (RMQFI), $chi2$ for general three qubit states, having graph and hypergraph states as special cases. We demonstrate that the most symmetric graph state and the GHZ state have the lowest RMQFI values leading to the highest statistical speed.
arXiv Detail & Related papers (2022-08-16T14:34:48Z)
Boundary theories of critical matchgate tensor networks [59.433172590351234]
Key aspects of the AdS/CFT correspondence can be captured in terms of tensor network models on hyperbolic lattices. For tensors fulfilling the matchgate constraint, these have previously been shown to produce disordered boundary states. We show that these Hamiltonians exhibit multi-scale quasiperiodic symmetries captured by an analytical toy model.
arXiv Detail & Related papers (2021-10-06T18:00:03Z)
Graph-Theoretic Framework for Self-Testing in Bell Scenarios [37.067444579637076]
Quantum self-testing is the task of certifying quantum states and measurements using the output statistics solely. We present a new approach for quantum self-testing in Bell non-locality scenarios.
arXiv Detail & Related papers (2021-04-27T08:15:01Z)
Hamiltonian systems, Toda lattices, Solitons, Lax Pairs on weighted Z-graded graphs [62.997667081978825]
We identify conditions which allow one to lift one dimensional solutions to solutions on graphs. We show that even for a simple example of a topologically interesting graph the corresponding non-trivial Lax pairs and associated unitary transformations do not lift to a Lax pair on the Z-graded graph.
arXiv Detail & Related papers (2020-08-11T17:58:13Z)
Continuous-time quantum walks in the presence of a quadratic perturbation [55.41644538483948]
We address the properties of continuous-time quantum walks with Hamiltonians of the form $mathcalH= L + lambda L2$. We consider cycle, complete, and star graphs because paradigmatic models with low/high connectivity and/or symmetry.
arXiv Detail & Related papers (2020-05-13T14:53:36Z)
Hypergraph min-cuts from quantum entropies [1.6312226592634047]
We prove that the min-cut function of any weighted hypergraph can be approximated by the entropies of quantum states known as stabilizer states. It shows that the recently defined hypergraph cones are contained in the quantum stabilizer entropy cones.
arXiv Detail & Related papers (2020-02-27T19:19:10Z)
Semi-supervised Anomaly Detection on Attributed Graphs [43.69966808278313]
We propose a simple yet effective method for detecting anomalous instances on an attribute graph with label information of a small number of instances. The proposed method embeds nodes on the attributed graph in the latent space by taking into account their attributes. In experiments with five real-world attributed graph datasets, we demonstrate that the proposed method achieves better performance than various existing anomaly detection methods.
arXiv Detail & Related papers (2020-02-27T10:06:22Z)
The Quantum Entropy Cone of Hypergraphs [0.20999222360659606]
We study hypergraphs and their analogously-defined entropy cones. We find a class of quantum entropy vectors which reach beyond those of holographic states. We show that the hypergraph framework is broadly applicable to the study of entanglement entropy.
arXiv Detail & Related papers (2020-02-13T02:45:28Z)

This list is automatically generated from the titles and abstracts of the papers in this site.