Dresden 2026 – scientific programme
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QI: Fachverband Quanteninformation
QI 15: Quantum Information: Concepts and Methods II
QI 15.9: Talk
Thursday, March 12, 2026, 12:15–12:30, BEY/0137
k-body correlations of graph states — •Mengying Hu1,2, Elisa Monchietti2, Ismaël Septembre2, Kenneth Goodenough2, Raphaël Mothe2, and Otfried Gühne2 — 1School of Mathematical Sciences, Hebei Normal University, Shijiazhuang 050024, China — 2Naturwissenschaftlich-Technische Fakultät, Universität Siegen, Germany
Graph states play a key role in quantum information processing tasks, for instance quantum computing and quantum error correction. Understanding their intrinsic structure is fundamental for assessing their usefulness in computational or informational tasks. In particular, graph states are stabilizer states, meaning they can be uniquely defined by the group of local Pauli operators stabilizing them. Here, we study the groups that arise after deleting certain subsets of qubits from the stabilizer group, which we use to capture the k-body correlations of graph states, and we use these correlations as invariants to distinguish graph states up to local unitaries.
Keywords: Graph states; Stabilizer formalism; k-body correlations