Nonclassical nullifiers for quantum hypergraph states
Year: 2026
Type: article
Abstract: 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 among a collection of k harmonic oscillator ground states. However such powerful resources have not yet been observed in experiments and their robustness and scalability have not been tested. Here we develop and analyse necessary criteria for hypergraph nonclassicality based on simultaneous nonlinear squeezing in the nullifiers of hypergraph states. We put forward an essential analysis of their robustness to realistic scenarios involving thermalisation or loss and suggest several basic proof-of-principle options for experiments to observe nonclassicality in hypergraph states.
Source: Quantum
Authors: Abhijith Ravikumar, Darren W. Moore, Radim Filip
Institution: Palacký University Olomouc
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $215
Awards: G1077886192, Quantum non-Gaussian coherence, Scalable Continuous Variable Cluster State Quantum Technologies, G2444280304, G2678520069, Grid states for optical quantum computation, G375632936, G434337789, G5032364540, QuantERA ERA-NET Cofund in Quantum Technologies, G575169067, QuantERA II ERA-NET Cofund in Quantum Technologies, G8653124682
OpenAlex ID: W4407185868