2025/02/20 by Rongchao Ma, Ma, Rongchao
Computer Science · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Quantum Computing Algorithms and Architecture #Quantum Physics (quant-ph)
paper · pdf · doi:10.48550/arxiv.2502.14654
openalex publication_date 2025/02/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We develop a mathematical framework for the quantum simulation of lattice gauge theories using gauge-invariant packaged quantum states \citeMa2017,Ma2025. In this formalism, every single excitation transforms as a complete irreducible representation (irrep) of the local gauge group, preventing any appearance of fractional or partial internal quantum numbers (IQNs). Multi-particle excitations can form nontrivial packaged entangled states that are also gauge invariant, thereby forbidding partial or fractional IQNs. In other words, all IQNs of such packaged entangled states remain inseparably entangled. This ``packaging principle'' ensures that physical states remain confined to the correct gauge sector and excludes partial charges or colors, even when multiple excitations are entangled. We illustrate this approach for U(1), SU(2), and SU(3) lattice gauge theories, discussing explicit constructions, Trotterized Hamiltonian evolution, and gauge-invariant measurements on a quantum simulator. We also outline how packaged states can mitigate gauge-violating errors and serve as natural building blocks for gauge-invariant coding schemes, while noting that standard quantum error correction is still required against typical local noise that respects gauge symmetry.