Nonclassical nullifiers for quantum hypergraph states
Abhijith Ravikumar, Darren W. Moore, and Radim Filip
Quantum 10, 2091 (2026). https://doi.org/10.22331/q-2026-05-05-2091 Quantum hypergraph states form a generalisation of the graph state formalism that goes beyond the pairwise (dyadic) interactions imposed by remaining inside the Gaussian approximation. Networks of such states are able to achieve universality for continuous variable measurement based quantum computation with only Gaussian measurements. For normalised states, the simplest hypergraph states are formed from $k$-adic interactions amo