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QI: Fachverband Quanteninformation

QI 15: Quantum Information: Concepts and Methods II

QI 15.2: Vortrag

Donnerstag, 12. März 2026, 09:45–10:00, BEY/0137

Robust certification of non-projective measurements — •Raphael Brinster1, Peter Tirler2, Shishir Khandelwal3, Michael Meth2, Hermann Kampermann1, Dagmar Bruß1, Rainer Blatt2,4, Martin Ringbauer2, Armin Tavakoli3, and Nikolai Wyderka11Institut für Theoretische Physik III, Heinrich-Heine-Universität Düsseldorf — 2Institut für Experimentalphysik, Universität Innsbruck — 3Physics Department and NanoLund, Lund University, — 4Institute for Quantum Optics and Quantum Information of the Austrian Academy of Sciences, Innsbruck

Determining the conditions under which the most general class of quantum measurements (positive operator-valued measures (POVMs)), outperform projective measurements remains a challenging and largely unresolved problem. Of particular interest are projectively simulable POVMs which offer no advantage over projective schemes, as they can be realized through probabilistic mixtures of projective measurements. Characterizing the boundary between simulable and non-simulable POVMs is, however, a difficult task, and existing tools either fail to scale efficiently, provide limited experimental feasibility or work only for specific POVMs. Here, we introduce a general method to certify non-simulability of a POVM by constructing non-simulability witnesses and demonstrate how to make them robust against state preparation errors in experiments.

Keywords: POVM; projective simulability; Semidefinite programming; witnesses; measurement

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