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Researchers have successfully demonstrated non-Abelian Thouless pumping using a twelve-level Rydberg lattice, marking a significant advance in finite-time geometric control for holonomic quantum computing. This approach utilizes six degenerate zero-energy states to manipulate information more complexly than single-state systems while introducing a global adiabatic criterion that optimizes microwave pulse timing without extra parameters. The achievement establishes a novel platform distinct from semiconductor or trapped-ion architectures, offering enhanced robustness against decoherence in synthetic lattice environments.
Twelve-Level Rydberg Lattice Enables Non-Abelian Thouless Pumping

Non-Abelian Thouless pumping is demonstrated using a Lieb lattice encoded in twelve microwave-coupled Rydberg levels, creating a three-cell structure.
Researchers affiliated with the School of Physics, Central South University, Changsha 410083, China and the Quantum Information Institute, School of Physics, Zhengzhou University, Zhengzhou 450001, China have demonstrated non-Abelian Thouless pumping within a uniquely constructed quantum system. The lattice is encoded in twelve selected microwave-coupled K39 Rydberg levels, moving beyond conventional approaches to quantum control. This system utilizes six degenerate zero-energy states to define a working subspace for manipulating quantum information, enabling a more complex form of processing than systems relying on single states. The team reports that composing…
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