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Watch a conference talk from the 18th Theory of Quantum Computation Conference (TQC 2023) exploring quantum information encoded in carriers that approximate, but don't perfectly match, standard qudits. Discover how small higher-dimensional components can impact established semi-device-independent quantum information protocols and learn about a new semidefinite relaxation method for bounding almost qudit correlations. Follow along as the speaker demonstrates applications to device-independent dimension testing and examines optimal quantum protocols for Random Access Code using almost qubit systems as physical resources. Presented by Armin Tavakoli at the University of Aveiro, this 26-minute talk delves into theoretical advances in quantum communication where precise Hilbert space dimensionality cannot be assumed.