| Testing shift-equivalence of polynomials using quantum machines |
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International Conference on Symbolic and Algebraic Computation
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Proceedings of the 1996 international symposium on Symbolic and algebraic computation
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Zurich, Switzerland
Pages: 49 - 54
Year of Publication: 1996
ISBN:0-89791-796-0
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Author
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D. Grigoriev
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Department of Computer Science & Department of Mathematics, Penn State University, University Park, PA
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Downloads (6 Weeks): 0, Downloads (12 Months): 4, Citation Count: 1
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REFERENCES
Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.
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T. Beth, Verfahren der schnelIen Fourier-transformation, (Teubner, Stuttgart, 1984)
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A. Chistov, D. Grigoriev, Solving algebraic systems in subexponential time. I, II., Preprints LOMI E-9-83, E- 10-83, Leningrad, 1983
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D. Coppersmith An approximate Fourier transform useful in quantum factoring Research report 19642, IBM, 1994
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M. Karpinski, I. Shparlinski, Efficient approximation algorithms for sparse polynomials over finite fields, Technical Report 94-029, ICSI, Berkeley, 1994
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R. Loos, Generalized polynomial remainder sequences, in B. Buchberger, J. Calmer, R. Loos, eds., Computer Algebra, (Springer, Berlin, 1982)
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P. W. Shor, Algorithms for quantum computation: discrete logarithms and factoring, Proc. FOCS, (IEEE, 1994), 124-134
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D. R. Simon, On the power of quantum computation, Proc. FOCS (IEEE, 1994), 116-123
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R. Smolensky, Private communication, 1995
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A. Yao, Quantum circuit complexity, Proc. FOCS (IEEE, 1993), 352-360
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A. Yu. Kitaev, Quantum measurements and the Abelian stabilizer problem, Preprint of the Institute for Theoretical Physics, Moscow, October 1995
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