Cyclic Projective t-Designs and How to Find Them

Explore complex projective t-designs and their applications in quantum computing through this 47-minute seminar talk from the Quantum Information and Quantum Computing Seminars series at CTP PAS. Delve into the concept of cyclic designs, which are generated using powers of single unitary operations, and understand their role in optimal quantum tomography schemes within non-adaptive approaches. Learn about the fundamental relationship between these structures and standard quadrature rules used in numerical integration, while examining the limitations and potential relaxations of the cyclic design scheme. Gain insights from Jagiellonian University researcher Jakub Czartowski as he presents advanced concepts at the intersection of quantum information theory and computational design.