Speaker
Description
We introduce a general framework for taking advantage of gauge symmetry to build quantum error-correcting codes (QECCs) that can be applied to Hamiltonian simulations for lattice gauge theories (LGTs) on quantum hardware. Our framework has the following features: (i) reduction of the overhead needed in physical qubits compared to alternative methods; (ii) arbitrary code distance, and therefore arbitrarily high robustness against realistic noise models; (iii) compatibility with widely studied QECCs, by using Gauss's law constraints to decode error patterns with increased accuracy; (iv) applicability to non-Abelian LGTs. We provide examples of explicit code constructions within our framework to illustrate these points, and discuss the path forward to fault-tolerant quantum simulations of LGTs on hardware.