Quantum 2025 – scientific programme

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MON: Monday Contributed Sessions

MON 19: Foundational / Mathematical Aspects – Quantum Optics and Quantum Information

MON 19.4: Talk

Monday, September 8, 2025, 17:15–17:30, ZHG008

Projective simulability of noisy SIC-POVMs — Raphael Brinster, Hermann Kampermann, Dagmar Bruß, and •Nikolai Wyderka — Institut für Theoretische Physik III, Heinrich-Heine-Universität Düsseldorf, Universitätsstraße 1, 40225 Düsseldorf, Germany

Generalized measurements, i.e., POVMs, are known to yield an advantage over usual projective measurements in tasks like state discrimination, state tomography and entanglement detection. While any POVM can be realized as a projective measurement using auxiliary systems, some of them can be simulated through the process of classical randomization of projective measurements in the original system. Such POVMs are called projectively simulable, and every POVM becomes simulable if enough noise is added to it. While the exact amount of required noise (a quantity related to the so-called critical visibility) is in general unknown, it was conjectured that symmetric informationally complete POVMs (SIC-POVMs) are most robust against becoming simulable.

By employing a hierarchy of semidefinite programs together with constructing specific simulable decompositions for classes of noisy SIC-POVMs, we significantly enlarge the collection of POVMs for which exact critical visibilities are known. Finally, we show that there are POVMs which are more robust than certain SIC-POVMs.

Keywords: Quantum Measurements; SIC-POVMs