Grigni, Michelangelo and Schulman, Leonard J. and Vazirani, Monica and Vazirani, Umesh (2004) Quantum Mechanical Algorithms for the Nonabelian Hidden Subgroup Problem. Combinatorica, 24 (1). pp. 137-154. ISSN 0209-9683. doi:10.1007/s00493-004-0009-8. https://resolver.caltech.edu/CaltechAUTHORS:20190829-131534342
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Abstract
We provide positive and negative results concerning the “standard method” of identifying a hidden subgroup of a nonabelian group using a quantum computer.
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| Additional Information: | © János Bolyai Mathematical Society 2004. Received September 14, 2000. Supported in part by NSF grants CCR-9820931 and CCR-0208929. Supported in part by NSF CAREER grant 0049092, the NSF Institute for Quantum Information, the Charles Lee Powell Foundation, and the Mathematical Sciences Research Institute. Supported in part by an NSF Mathematical Sciences Postdoctoral Research Fellowship and NSF grant DMS-0301320. Supported in part by DARPA QUIST grant F30602-01-2-0524, ARO grant DAAD19-03-1-0082, and NSF ITR grant CCR-0121555. | ||||||||||||||||||||||||||
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| Issue or Number: | 1 | ||||||||||||||||||||||||||
| Classification Code: | Mathematics Subject Classification (2000): 81P68 68Q17 | ||||||||||||||||||||||||||
| DOI: | 10.1007/s00493-004-0009-8 | ||||||||||||||||||||||||||
| Record Number: | CaltechAUTHORS:20190829-131534342 | ||||||||||||||||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20190829-131534342 | ||||||||||||||||||||||||||
| Official Citation: | Grigni, M., Schulman, L., Vazirani, M. et al. Combinatorica (2004) 24: 137. https://doi.org/10.1007/s00493-004-0009-8 | ||||||||||||||||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||||||||||||||||
| ID Code: | 98354 | ||||||||||||||||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||||||||||||||||
| Deposited By: | George Porter | ||||||||||||||||||||||||||
| Deposited On: | 30 Aug 2019 14:34 | ||||||||||||||||||||||||||
| Last Modified: | 16 Nov 2021 17:38 |
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