Presentation 2001/1/18
Quantum order-finding by linear programming theory
Ryuichi SAWAE, Kenichi TAKARABE, Toshio SAKATA, Minaru TEI, Kenji FUKUDA, Yusuke MATUDA,
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Abstract(in English) Order-finding problem for a permutation π with the 2^n members is to find the least number r for any member y in the 2^n members by the r iterations of which the member y returns to the original position. The number of oracle queries for classical computation increases exponentially in n of π. The quantum computation overcomes this difficulty by its inherent parallel processing. However, to show the advantage of the quantum computation for the order-finding problem, it is needed to know whether the quantum computation could give the probability to get the correct answer larger than the classicalprobabilistic guess. This is considered by the liner programming theory.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Quantum Computing / Order-finding problem / Linear programming
Paper # PS2000-65,OFT2000-75,OPE2000-127,LQE2000-108
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Committee OFT
Conference Date 2001/1/18(1days)
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Registration To Optical Fiber Technology (OFT)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Quantum order-finding by linear programming theory
Sub Title (in English)
Keyword(1) Quantum Computing
Keyword(2) Order-finding problem
Keyword(3) Linear programming
1st Author's Name Ryuichi SAWAE
1st Author's Affiliation Okayama University of Science, Department of Applied Mathematics()
2nd Author's Name Kenichi TAKARABE
2nd Author's Affiliation Okayama University of Science, Department of Applied Science
3rd Author's Name Toshio SAKATA
3rd Author's Affiliation Kyushu Institute of Design, Department of Industrial Design
4th Author's Name Minaru TEI
4th Author's Affiliation Okayama University of Science, Department of Electronic Engineering
5th Author's Name Kenji FUKUDA
5th Author's Affiliation Okayama University of Science, Department of Applied Mathematics
6th Author's Name Yusuke MATUDA
6th Author's Affiliation Okayama University of Science, Department of Applied Mathematics
Date 2001/1/18
Paper # PS2000-65,OFT2000-75,OPE2000-127,LQE2000-108
Volume (vol) vol.100
Number (no) 588
Page pp.pp.-
#Pages 6
Date of Issue