Platonic Ququart Benchmarking - Characterizing 4-Level Quantum Systems

Explore the intricacies of 4-level quantum systems, known as ququarts, in this informative conference talk presented by Cristina Rodriguez from the Institute for Quantum Computing. Delve into the implementation of character randomized benchmarking within ququart systems to assess and mitigate errors in quantum gates, particularly for systems with complex decay processes. Discover how three gate groups based on the symmetries of platonic solids are created, introducing challenges due to non-multiplicity-free irreducible representations. Learn about the use of liquid-state nuclear magnetic resonance (NMR) techniques to achieve precise control over 4-level systems. Gain insights into the importance of ququarts in quantum computing, their unique quantum properties, and the advantages they offer, such as increased information capacity. Understand the crucial role of benchmarking protocols in characterizing and harnessing the potential of ququarts for advanced quantum technologies.