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18 April 2024
 
  » arxiv » quant-ph/9902053

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A better lower bound for quantum algorithms searching an ordered list
Andris Ambainis ;
Date 14 Feb 1999
Subject Quantum Physics; Data Structures and Algorithms; Computational Complexity | quant-ph cs.CC cs.DS
AbstractWe show that any quantum algorithm searching an ordered list of n elements needs to examine at least 1/12 log n-O(1) of them. Classically, log n queries are both necessary and sufficient. This shows that quantum algorithms can achieve only a constant speedup for this problem. Our result improves lower bounds of Buhrman and de Wolf(quant-ph/9811046) and Farhi, Goldstone, Gutmann and Sipser (quant-ph/9812057).
Source arXiv, quant-ph/9902053
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