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This study establishes that digitization errors in gauge theory simulations persist even under idealized conditions, challenging previous assumptions about accuracy at small couplings. By identifying a measurable error baseline for approximating continuous symmetries with finite groups, the research provides critical benchmarks for improving the fidelity of future quantum models in particle physics. These findings are essential for refining simulation protocols and interpreting results from both classical lattice calculations and practical quantum computations.
Researchers Map Digitisation Error Growth in Gauge Theory

Gauge field digitisation introduces unavoidable discrepancies between simulated and actual physical systems, unlike previous assumptions about accuracy at smaller couplings. New analysis reveals finite approximations of continuous symmetries diverge from their intended counterparts even beyond regimes initially considered safe from these ‘freezing’ transitions. This establishes a measurable error baseline for future quantum modelling of particle physics phenomena.
Digitisation errors hinder accurate simulations of quantum field theories when approximating continuous symmetries with finite representations on computers. A team at ELTE Eötvös Loránd University and the Wigner Research Centre for Physics found that the ‘freezing transition’, where discrete groups poorly approximate continuous ones, remains present even as simulations approach the Hamiltonian limit. Simplifying continuous symmetries within quantum computer models introduces unavoidable inaccuracies which are more significant…
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