Gauss law codes identify the full gauge-invariant sector as the code space while vacuum codes restrict to the matter vacuum, with the two shown to be unitarily equivalent for finite gauge groups.
Fault-tolerant simulation of Lattice Gauge Theories with gauge covariant codes
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Quantum hardware simulation of SU(2) lattice gauge thermalization matches classical extrapolations up to 101 plaquettes after error mitigation, establishing feasibility for chaotic quantum field systems.
A multi-part truncation for lattice QCD with fermions enables explicit Hamiltonians in 1+1D and 2+1D and string-breaking simulations by capping basis states, electric energy, fermions per site, and using large-Nc matrix element scaling.
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Gauss law codes and vacuum codes from lattice gauge theories
Gauss law codes identify the full gauge-invariant sector as the code space while vacuum codes restrict to the matter vacuum, with the two shown to be unitarily equivalent for finite gauge groups.