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Experimental Demonstration of Break-Even for the Compact Fermionic Encoding

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arxiv 2409.06789 v1 pith:RJSWVLJD submitted 2024-09-10 quant-ph cond-mat.str-el

classification quant-phcond-mat.str-el
keywords quantumdigitalfermi-hubbardfermioniclocalmodelbeencomputers
verification ladder T0 review T1 audit T2 compute T3 formal
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The utility of solving the Fermi-Hubbard model has been estimated in the billions of dollars. Digital quantum computers can in principle address this task, but have so far been limited to quasi one-dimensional models. This is because of exponential overheads caused by the interplay of noise and the non-locality of the mapping between fermions and qubits. Here, we show experimentally that a recently developed local encoding can overcome this problem. We develop a new compilation scheme, called "corner hopping", that reduces the cost of simulating fermionic hopping by 42% which allows us to conduct the largest digital quantum simulations of a fermionic model to date, using a trapped ion quantum computer to prepare adiabatically the ground state of a 6 x 6 spinless Fermi-Hubbard model encoded in 48 physical qubits. We also develop two new error mitigation schemes for systems with conserved quantities, one based on local postselection and one on extrapolation of local observables. Our results suggest that Fermi-Hubbard models beyond classical simulability can be addressed by digital quantum computers without large increases in gate fidelity.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

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    A new algorithm compresses 2D free-fermion ground states into logarithmic-depth MERA-like circuits, with numerical evidence of exponential accuracy for Haldane-model phases.

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  4. Strategic Plan for Neutral Atom Quantum Computation

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    If qubit-count growth (~1.8x/yr) and gate-error reduction (~0.62x/yr) continue, neutral-atom quantum computers could reach practical quantum advantage within a decade, this roadmap projects.

  5. Microscopy of Ultracold Fermions in Optical Lattices

    cond-mat.quant-gas 2025-07 conditional

    A lecture-note review of quantum gas microscope experiments on the Fermi-Hubbard model, covering magnetism, polarons, transport, new lattice geometries, and low-temperature entropy-redistribution protocols.

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