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QI: Fachverband Quanteninformation
QI 15: Quantum Information: Concepts and Methods II
QI 15.8: Vortrag
Donnerstag, 12. März 2026, 12:00–12:15, BEY/0137
Detection of many-body entanglement partitions in a quantum computer — Albert Rico1,2, Dmitry Grinko3,4,5, •Robin Krebs6, and Lin Htoo Zaw7 — 1Quantum information Group, Autonomous University of Barcleona, Spain — 2Theoretische Quantenoptik, Universität Siegen, Germany — 3QuSoft, Amsterdam, Netherlands — 4Institute for Logic, Language and Computation, University of Amsterdam, Netherlands — 5Korteweg-de Vries Institute for Mathematics, University of Amsterdam, Netherlands — 6Quantum Computing, Technische Universität Darmstadt, Germany — 7Centre for Quantum Technologies, National University of Singapore, Singapore
We present a method to detect entanglement partitions of multipartite quantum systems, by exploiting their inherent symmetries. Structures like genuinely multipartite entanglement, m-separability and entanglement depth are detected as special cases. This formulation enables us to characterize all the entanglement partitions of all three- and four-partite states and witnesses with unitary and permutation symmetry. In particular, we find and parametrize a complete set of bound entangled states therein. For larger systems, we provide a large family of analytical witnesses detecting many-body states of arbitrary size where none of the parties is separable from the rest. This method relies on weak Schur sampling with projective measurements, and thus can be implemented in a quantum computer. Beyond physics, our results apply to mathematics: we establish new inequalities between matrix immanants, and characterize the set of such inequalities for matrices of size three and four.
Keywords: quantum information; quantum computation; multipartite entanglement