For non-critical systems, analogue quantum simulation via perturbative gadgets requires only polylogarithmic interaction strengths through extrapolation within phases of matter.
Well-conditioned multiproduct Hamiltonian simulation.arXiv preprint arXiv:1907.11679
4 Pith papers cite this work. Polarity classification is still indexing.
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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.
Symmetry-based classical post-processing projects out Trotter error components that violate symmetries while preserving ideal dynamics in quantum simulations.
Using multi-product formulas in LCHS produces commutator-sensitive error bounds and better quadrature scaling than norm-based analyses for dissipative dynamics.
citing papers explorer
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Analogue quantum simulation with polylogarithmic interaction strengths by extrapolating within phases of matter
For non-critical systems, analogue quantum simulation via perturbative gadgets requires only polylogarithmic interaction strengths through extrapolation within phases of matter.
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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.
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Mitigating Trotter Errors via Post-Processed Symmetry Restoration
Symmetry-based classical post-processing projects out Trotter error components that violate symmetries while preserving ideal dynamics in quantum simulations.
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Linear Combination of Hamiltonian Simulation with Commutator Scaling
Using multi-product formulas in LCHS produces commutator-sensitive error bounds and better quadrature scaling than norm-based analyses for dissipative dynamics.