On the Societal Impact of Open Foundation Models
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This appears to be a quantum computing paper about fermion simulations, not an AI safety resource. The title references societal impact of foundation models but the content preview discusses quantum lattice field theories, suggesting a mismatch or mislabeling.
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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.
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††\\* These authors contributed equally to this work.
# Scalable digital quantum simulation of lattice fermion theories with local encoding
Marco Ballarin
Dipartimento di Fisica e Astronomia “G. Galilei”, Università di Padova, I-35131 Padova, Italy.
Istituto Nazionale di Fisica Nucleare (INFN), Sezione di Padova, I-35131 Padova, Italy.
Giovanni Cataldi
Dipartimento di Fisica e Astronomia “G. Galilei”, Università di Padova, I-35131 Padova, Italy.
Istituto Nazionale di Fisica Nucleare (INFN), Sezione di Padova, I-35131 Padova, Italy.
Giuseppe Magnifico
Dipartimento di Fisica e Astronomia “G. Galilei”, Università di Padova, I-35131 Padova, Italy.
Istituto Nazionale di Fisica Nucleare (INFN), Sezione di Padova, I-35131 Padova, Italy.
Dipartimento di Fisica, Università di Bari, I-70126 Bari, Italy.
Daniel Jaschke
Dipartimento di Fisica e Astronomia “G. Galilei”, Università di Padova, I-35131 Padova, Italy.
Istituto Nazionale di Fisica Nucleare (INFN), Sezione di Padova, I-35131 Padova, Italy.
Institute for Complex Quantum Systems, Ulm University, Albert-Einstein-Allee 11, 89069 Ulm, Germany
Marco Di Liberto
Dipartimento di Fisica e Astronomia “G. Galilei”, Università di Padova, I-35131 Padova, Italy.
Istituto Nazionale di Fisica Nucleare (INFN), Sezione di Padova, I-35131 Padova, Italy.
Padua Quantum Technologies Research Center, Università degli Studi di Padova
Ilaria Siloi
Dipartimento di Fisica e Astronomia “G. Galilei”, Università di Padova, I-35131 Padova, Italy.
Istituto Nazionale di Fisica Nucleare (INFN), Sezione di Padova, I-35131 Padova, Italy.
Padua Quantum Technologies Research Center, Università degli Studi di Padova
Simone Montangero
Dipartimento di Fisica e Astronomia “G. Galilei”, Università di Padova, I-35131 Padova, Italy.
Istituto Nazionale di Fisica Nucleare (INFN), Sezione di Padova, I-35131 Padova, Italy.
Padua Quantum Technologies Research Center, Università degli Studi di Padova
Pietro Silvi
Dipartimento di Fisica e Astronomia “G. Galilei”, Università di Padova, I-35131 Padova, Italy.
Istituto Nazionale di Fisica Nucleare (INFN), Sezione di Padova, I-35131 Padova, Italy.
Padua Quantum Technologies Research Center, Università degli Studi di Padova
###### 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 ℤ2subscriptℤ2\\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-1212\\frac{1}{2} Hubbard ladder in the t−J𝑡𝐽t-J model limit. Additionally, we show that such local fermion enc
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