Work

Discrete-query quantum algorithm for NAND trees. (arXiv:quant-ph/0702160v2 UPDATED)

Year: 2019
Type: preprint
Abstract: Recently, Farhi, Goldstone, and Gutmann gave a quantum algorithm for evaluating NAND trees that runs in time O(sqrt(N log N)) in the Hamiltonian query model. In this note, we point out that their algorithm can be converted into an algorithm using O(N^{1/2 + epsilon}) queries in the conventional quantum query model, for any fixed epsilon > 0.
Language: English
Open Access status: green
OpenAlex ID: W2972145752
Cites: 5
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Related to: 10