Truncation uncertainties for accurate quantum simulations of lattice gauge theories

• URL: http://arxiv.org/abs/2508.00061v1
• Date: Thu, 31 Jul 2025 18:00:02 GMT
• Title: Truncation uncertainties for accurate quantum simulations of lattice gauge theories
• Authors: Anthony N. Ciavarella, Siddharth Hariprakash, Jad C. Halimeh, Christian W. Bauer,
• Abstract summary: lattice gauge theories onto quantum computers require a discretization of the gauge field's Hilbert space on each link.<n>In the electric basis, Hilbert space fragmentation has recently been shown to limit the excitation of large electric fields.<n>We leverage this to develop a formalism for estimating the size of truncation errors in the electric basis.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The encoding of lattice gauge theories onto quantum computers requires a discretization of the gauge field's Hilbert space on each link, which presents errors with respect to the Kogut--Susskind limit. In the electric basis, Hilbert space fragmentation has recently been shown to limit the excitation of large electric fields. Here, we leverage this to develop a formalism for estimating the size of truncation errors in the electric basis. Generically, the truncation error falls off as a factorial of the field truncation. Examples of this formalism are applied to the Schwinger model and a pure U(1) lattice gauge theory. For reasonable choices of parameters, we improve on previous error estimates by a factor of 10^{306}.

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