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A better lower bound for quantum algorithms searching an ordered list | Andris Ambainis
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14 Feb 1999 | Subject: | Quantum Physics; Data Structures and Algorithms; Computational Complexity | quant-ph cs.CC cs.DS | Abstract: | We 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 | Services: | Forum | Review | PDF | Favorites |
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