Quantum Computing Asked on April 11, 2021
The Childs et al. (2017) algorithm can solve the quantum linear systems problem (QLSP) in $operatorname{poly}(log N, log(1/epsilon))$ time while the HHL algorithm solves it in $operatorname{poly}(log N, 1/epsilon)$ time. So, if the Childs algorithm is superior, then why is the HHL more popular?
Additionally, are there any examples of the Childs algorithm being used to solve a system of equations on a real or simulated quantum computer?
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