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.
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SPRINT and GRADE cut Toffoli cost 4.5x versus prior Trotter methods for Li4Mn2O X-ray spectrum simulation while using 5.5x fewer qubits than qubitization alternatives.
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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.
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Theory and practice of Trotter product formulas for quantum chemistry
SPRINT and GRADE cut Toffoli cost 4.5x versus prior Trotter methods for Li4Mn2O X-ray spectrum simulation while using 5.5x fewer qubits than qubitization alternatives.