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The above observations together show that for an order p product formula, the QPE error can be given by: δE = 1 s Z s 0 dσ ⟨ψ|E(σ)|ψ⟩ + O(s2p), (9) where the O(s2p) arises due to t

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Better product formulas for quantum phase estimation

quant-ph · 2024-12-22 · conditional · novelty 7.0

A Magnus-expansion analysis of product formula errors for quantum phase estimation yields custom product formulas with up to quartic energy-error scaling and a low-energy bound with up to quadratic speedup in the target error.

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  • Better product formulas for quantum phase estimation quant-ph · 2024-12-22 · conditional · none · ref 4

    A Magnus-expansion analysis of product formula errors for quantum phase estimation yields custom product formulas with up to quartic energy-error scaling and a low-energy bound with up to quadratic speedup in the target error.