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QI: Fachverband Quanteninformation

QI 9: Quantum Entanglement II

QI 9.3: Talk

Tuesday, March 11, 2025, 11:30–11:45, HS IX

The exact convex roof for GHZ-W mixtures for three qubits and beyond — •Andreas Osterloh — TII, QRC, Abu Dhabi, UAE

I present an exact solution for the convex roof of the square root of the threetangle of GHZ-W mixtures for all states within the Bloch sphere. The key to the exact solution is the characteristic pattern for the pure states on the Bloch sphere surface that take part in the optimal decomposition. The method used here can be applied to arbitrary SL-invariant tangles of degree 2d specifically to their d-th root.

Keywords: Multipartite entanglement; threetangle; GHZ-W mixture; convex roof