TL;DR
This review paper discusses quantum hypergraph states, a generalization of graph states, highlighting their definitions, applications, and significance in quantum information and computation.
Contribution
It provides a comprehensive overview of hypergraph states, summarizing recent progress and main applications in both discrete and continuous-variable quantum information.
Findings
Hypergraph states extend graph states for multipartite entanglement.
They have significant applications in quantum information processing.
Recent progress demonstrates their potential in quantum computation.
Abstract
Quantum hypergraph states emerged in the literature as a generalization of graph states, and since then, considerable progress has been made toward implementing this class of genuine multipartite entangled states for quantum information and computation. Here, we review the definition of hypergraph states and their main applications so far, both in discrete-variable and continuous-variable quantum information.
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