No quantum speedup with Grover-Rudolph state preparation for quantum Monte Carlo integration.
basic_science · Level V
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- Record sourced from PubMed, PMID 34271649.
- Also identified by DOI 10.1103/PhysRevE.103.063302.
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Abstract
We prove that there is no quantum speedup when using quantum Monte Carlo integration to estimate the mean (and other moments) of analytically defined log-concave probability distributions prepared as quantum states using the Grover-Rudolph method.