Error-corrected Fermionic Quantum Processors with Neutral Atoms

In this 56-minute QuICS talk, Robert Ott presents a groundbreaking approach to implementing quantum error correction in fermionic quantum processors using neutral atoms. Learn how to overcome the atom-number superselection constraint in atomic systems by designing an ancillary set of fermionic modes and constructing a fermionic reference that enables superpositions of different numbers of referenced fermions. Discover the methodology for building logical fermionic modes that can be error-corrected using standard atomic operations, with a particular focus on addressing phase errors—a dominant source of errors in neutral-atom quantum processors. Explore the construction of logical fermionic gates and their implementation for particle-number conserving processes relevant for quantum simulation. The presentation demonstrates how this protocol achieves a quadratic suppression of the logical error rate when applied to a minimal fermionic circuit, offering a practical blueprint for error-corrected fermionic quantum processors implementable with current experimental capabilities.