Regensburg 2022 – scientific programme

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QI: Fachverband Quanteninformation

QI 9: Quantum Correlations

QI 9.8: Talk

Thursday, September 8, 2022, 11:30–11:45, H8

Complete hierarchy for high-dimensional steering certification — •Carlos de Gois, Martin Plávala, and Otfried Gühne — Naturwissenschaftlich Technische Fakultät, Universität Siegen

Steerability can be employed as a semi-device independent test of the Schmidt number. As such, it is a promising component in quantum informational protocols that make use of entanglement dimension certification. Recently proposed and experimentally demonstrated for the special case in which the assemblage is prepared from two choices of measurements, high-dimensional steering is so far lacking a general certification procedure. Herein, we provide necessary and, at a limit, sufficient conditions to certify the entanglement dimension of a steering assemblage. These conditions are stated in terms of a hierarchy of semidefinite programs, which can also be used to compute the steering dimension robustness.