Experimental Demonstration of Break-Even for the Compact Fermionic Encoding

• URL: http://arxiv.org/abs/2409.06789v1
• Date: Tue, 10 Sep 2024 18:00:54 GMT
• Title: Experimental Demonstration of Break-Even for the Compact Fermionic Encoding
• Authors: Ramil Nigmatullin, Kevin Hemery, Khaldoon Ghanem, Steven Moses, Dan Gresh, Peter Siegfried, Michael Mills, Thomas Gatterman, Nathan Hewitt, Etienne Granet, Henrik Dreyer,
• Abstract summary: The utility of solving the Fermi-Hubbard model has been estimated in the billions of dollars. We show experimentally that a recently developed local encoding can overcome this problem. We conduct the largest digital quantum simulations of a fermionic model to date.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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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