A Poisson-compiled QSVT construction shows that the shifted signal 2H/||H||-I improves the degree for e^{-T H^alpha} from ϵ^{-1/alpha} to ϵ^{-1/(2alpha)} for noninteger powers, with matching lower bounds.
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Poisson-Compiled Quantum Singular Value Transformation for Power-Exponential Dissipation
A Poisson-compiled QSVT construction shows that the shifted signal 2H/||H||-I improves the degree for e^{-T H^alpha} from ϵ^{-1/alpha} to ϵ^{-1/(2alpha)} for noninteger powers, with matching lower bounds.