Fermionic quantum processing with programmable neutral atom arrays

• DOI: 10.48550/arxiv.2303.06985
• Publication Date: 2023-01-01
• Authors: Daniel González-C...; Dolev Bluvstein; Marcin Kalinowski; Raphael Kaubruegger; Nishad Maskara; Piero Naldesi; Torsten V. Zache; Adam M. Kaufman; Mikhail D. Lukin; Hannes Pichler; Benoît Vermersch; Jun Ye; Peter Zoller
• Keywords: Quantum circuit

Simulating the properties of many-body fermionic systems is an outstanding computational challenge relevant to material science, quantum chemistry, and particle physics. Although qubit-based computers can potentially tackle this problem more efficiently than classical devices, encoding non-local statistics introduces overhead in required resources, limiting their applicability on near-term architectures. In work, we present a processor, where models are locally encoded register simulated hardware-efficient manner using gates. We consider particular atoms programmable tweezer arrays develop different protocols implement tunneling gates, guaranteeing Fermi at hardware level. use gate set, together with Rydberg-mediated interaction find efficient circuit decompositions for digital variational simulation algorithms, illustrated here molecular energy estimation. Finally, combined fermion-qubit architecture, both motional internal degrees freedom harnessed phase estimation, as well simulate lattice gauge theory dynamics.