Symmetric hypergraph states: entanglement quantification and robust Bell nonlocality
Jan Nöller, Otfried Gühne, Mariami Gachechiladze · Journal of Physics A Mathematical and Theoretical · 2023
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. This explains both the exponentially increasing violation of local realism for infinitely many classes of hypergraph states and robustness towards particle loss.