SAMOP 2023 – wissenschaftliches Programm
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QI: Fachverband Quanteninformation
QI 2: Quantum Foundations
QI 2.6: Vortrag
Montag, 6. März 2023, 12:15–12:30, B302
Simulability of Sets of Continuous and Infinite-Dimensional POVMs — •Sophie Egelhaaf1, Juha-Pekka Pellonpää2, and Roope Uola1 — 1Département de Physique Appliquée, Université de Genève, CH-1205 Genève, Switzerland — 2Department of Physics and Astronomy, University of Turku, FI-20014 Turun yliopisto, Finland
When considering quantum information tasks such as steering and Bell non-locality, the statistics not only depend on the state(s) shared by the parties but also the set of POVMs available to them. A key feature for witnessing true quantum behaviour is the incompatibility of POVMs. If a set of POVMs is jointly measurable, i.e. not incompatible, it can be fully compressed. Hence Ioannou et al [1] use the compression dimension of a set of POVMs, named the simulability, to quantify the incompatibility of the set. However, so far many findings only apply to finite-dimensional and discrete POVMs. We are working on adapting these findings such that they also hold for infinite-dimensional and continuous POVMs. In this context we are interested in finding the most incompatible and least compressible pair of continuous and infinite-dimensional POVMs, examples potentially being position and momentum as well as number and phase.
[1] M. Ioannou et al. Simulability of high-dimensional quantum measurements. arXiv preprint arXiv:2202.12980 (2022)