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Operator norm

If $A_j$ and $B_j$ have <operator norm> at most one, then inserting and subtracting one factor at a time gives
$$
\left\|\prod_{j=1}^mA_j-\prod_{j=1}^mB_j\right\|
\leq\sum_{j=1}^m\|A_j-B_j\|.
$$

Telescoping bound for products of operators

Commuting local Hamiltonian simulation

Past exam of the mathematics course of the University of Cambridge / 2022 / iii / Paper 324 / 3 / a / i / Solution

Telescoping bound for products of operators

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Telescoping bound for products of operators

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