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Manuscript VII-J@1 · VII-J.tex · section · d8c01b04

A product-formula simulation certificate

The Hamiltonian route: tails and a constructive error › A product-formula simulation certificate · lines 1262–1272

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Let $H = \sum_{j = 1}^{m} H_{j}$ be time independent and define

V_{n} (t) = (e^{- i (t / n) H_{m}} \dots e^{- i (t / n) H_{1}})^{n}, C_{H} = j < k \sum ∥ [H_{j}, H_{k}] ∥ .

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unlabeled · line 1265
$V_{n} (t) = (e^{- i (t / n) H_{m}} \dots e^{- i (t / n) H_{1}})^{n}, C_{H} = j < k \sum ∥ [H_{j}, H_{k}] ∥ .$

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