Platonic Ququart Benchmarking
Cristina Rodriguez from IQC presents at the QuDits for Quantum Technology workshop, hosted by the Quantum Interactions Theory Group at the Institute for Quantum Computing, University of Waterloo. Learn more: https://quantum-interactions.com/
The study of 4-level quantum systems, known as ququarts, holds great importance in the realm of quantum computing. Ququarts possess unique quantum properties and offer advantages like increased information capacity. To harness their potential, understanding and characterizing their behaviour through benchmarking protocols is crucial. In this project, we implement character randomized benchmarking within a 4-level quantum system to assess and mitigate errors in quantum gates, particularly for systems with complex decay processes. We create three gate groups based on the symmetries of platonic solids, introducing challenges due to non-multiplicity-free irreducible representations. Using liquid-state nuclear magnetic resonance (NMR) techniques, we achieve precise control over our 4-level system.
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