Scalable digital quantum simulation of lattice fermion theories with local encoding

• URL: http://arxiv.org/abs/2310.15091v2
• Date: Tue, 5 Dec 2023 13:34:22 GMT
• Title: Scalable digital quantum simulation of lattice fermion theories with local encoding
• Authors: Marco Ballarin, Giovanni Cataldi, Giuseppe Magnifico, Daniel Jaschke, Marco Di Liberto, Ilaria Siloi, Simone Montangero and Pietro Silvi
• Abstract summary: We numerically analyze the feasibility of a platform-neutral, general strategy to perform quantum simulations of fermionic lattice field theories. We show that such local fermion encoding is also useful in tensor network numerical simulations.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We numerically analyze the feasibility of a platform-neutral, general strategy to perform quantum simulations of fermionic lattice field theories under open boundary conditions. The digital quantum simulator requires solely one- and two-qubit gates and is scalable since integrating each Hamiltonian term requires a finite (non-scaling) cost. The exact local fermion encoding we adopt relies on auxiliary $\mathbb{Z}_2$ lattice gauge fields by adding a pure gauge Hamiltonian term akin to the Toric Code. By numerically emulating the quantum simulator real-time dynamics, we observe a timescale separation for spin- and charge-excitations in a spin-$\frac{1}{2}$ Hubbard ladder in the $t-J$ model limit. Additionally, we show that such local fermion encoding is also useful in tensor network numerical simulations.

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