A local SU(2) symmetry-based product formula clusters Hamiltonian terms into at most four classes for exact two-qubit implementations, cutting commutator errors and gate count in many-body simulations.
In the conventional decomposition process, the propagator generated byHis decomposed into two tractable Trotter blocks generated byH 1 =−h PN i=1 Xi andH 2 =J PN i=1 ZiZi+1
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Beyond Commutativity: Redesigning Trotter Decomposition via Local Symmetry
A local SU(2) symmetry-based product formula clusters Hamiltonian terms into at most four classes for exact two-qubit implementations, cutting commutator errors and gate count in many-body simulations.