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Volumn 56, Issue 2, 2007, Pages 202-207

Scaling and better approximating quantum fourier transform by higher radices

Author keywords

Fourier transform; Multivalued logic circuits; Multivariable systems; Quantum computing; Walsh functions

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; FOURIER TRANSFORMS; LOGIC CIRCUITS; MULTIVARIABLE SYSTEMS; QUANTUM EFFICIENCY; WALSH TRANSFORMS;

EID: 33846036154     PISSN: 00189340     EISSN: None     Source Type: Journal    
DOI: 10.1109/TC.2007.35     Document Type: Article
Times cited : (36)

References (18)
  • 1
    • 0032653987 scopus 로고    scopus 로고
    • "Development of Quantum Functional Devices for Multiple-Valued Logic Circuits"
    • T. Baba, "Development of Quantum Functional Devices for Multiple-Valued Logic Circuits," Proc. Int'l Symp. Multiple-Valued Logic, pp. 2-9, 1999.
    • (1999) Proc. Int'l Symp. Multiple-Valued Logic , pp. 2-9
    • Baba, T.1
  • 2
    • 11744326454 scopus 로고    scopus 로고
    • "Experimental Implementation of Fast Quantum Searching"
    • I.L. Chuang, N. Gershenfeld, and M. Kubinec, "Experimental Implementation of Fast Quantum Searching," Physical Rev. Letters, vol. 80, no. 15, pp. 3408-3411, 1998.
    • (1998) Physical Rev. Letters , vol.80 , Issue.15 , pp. 3408-3411
    • Chuang, I.L.1    Gershenfeld, N.2    Kubinec, M.3
  • 3
    • 0034497165 scopus 로고    scopus 로고
    • "Fast Parallel Circuits for the Quantum Fourier Transform"
    • R. Cleve and J. Watrous, "Fast Parallel Circuits for the Quantum Fourier Transform," Proc. IEEE Symp. Theory of Computing, pp. 526-535, 2000.
    • (2000) Proc. IEEE Symp. Theory of Computing , pp. 526-535
    • Cleve, R.1    Watrous, J.2
  • 4
    • 84968470212 scopus 로고
    • "An Algorithm for the Machine Calculation of Complex Fourier Series"
    • W. Cooley and J. Tukey, "An Algorithm for the Machine Calculation of Complex Fourier Series," Math. Computation, vol. 19, pp. 297-301, 1965.
    • (1965) Math. Computation , vol.19 , pp. 297-301
    • Cooley, W.1    Tukey, J.2
  • 5
    • 0003528443 scopus 로고
    • "An Approximate Fourier Transform Useful in Quantum Factoring"
    • IBM Research Report RC 19642
    • D. Coppersmith, "An Approximate Fourier Transform Useful in Quantum Factoring," IBM Research Report RC 19642, 1994.
    • (1994)
    • Coppersmith, D.1
  • 6
    • 0029217664 scopus 로고
    • "Quantum Device Model Based Super Pass Gate for Multiple-Valued Digital Systems"
    • X. Deng, T. Hanyu, and M. Kameyama, "Quantum Device Model Based Super Pass Gate for Multiple-Valued Digital Systems," Proc. Int'l Symp. Multiple-Valued Logic, pp. 130-138, 1995.
    • (1995) Proc. Int'l Symp. Multiple-Valued Logic , pp. 130-138
    • Deng, X.1    Hanyu, T.2    Kameyama, M.3
  • 7
    • 0022421379 scopus 로고
    • "Quantum Theory, the Church-Turing Principle and the Universal Quantum Computer"
    • D. Deutsch, "Quantum Theory, the Church-Turing Principle and the Universal Quantum Computer," Proc. Royal Soc. A, vol. 400, pp. 97-117, 1985.
    • (1985) Proc. Royal Soc. A , vol.400 , pp. 97-117
    • Deutsch, D.1
  • 8
    • 0005908682 scopus 로고    scopus 로고
    • "Bulk Spin-Resonance Quantum Computing"
    • N. Gershenfeld and I.L. Chuang, "Bulk Spin-Resonance Quantum Computing," Nature, vol. 404, pp. 350-356, 1997.
    • (1997) Nature , vol.404 , pp. 350-356
    • Gershenfeld, N.1    Chuang, I.L.2
  • 9
    • 33846090878 scopus 로고    scopus 로고
    • "A Relation between Quantum Operations and the Quantum Fourier Transform"
    • arxiv:quant-ph/0304145, Dec
    • R. Duan, Z. Ji, Y. Feng, and M. Ying, "A Relation between Quantum Operations and the Quantum Fourier Transform," Quantum Physics Archive, arxiv:qUant-ph/0304145, Dec. 2003.
    • (2003) Quantum Physics Archive
    • Duan, R.1    Ji, Z.2    Feng, Y.3    Ying, M.4
  • 10
    • 0038776443 scopus 로고    scopus 로고
    • "Quantum Fourier Transform and Extensions of the Abelian Hidden Subgroup Problem"
    • PhD dissertation, Univ. of California, Berkeley
    • L. Hales, "Quantum Fourier Transform and Extensions of the Abelian Hidden Subgroup Problem," PhD dissertation, Univ. of California, Berkeley, 2002.
    • (2002)
    • Hales, L.1
  • 12
    • 33746688531 scopus 로고    scopus 로고
    • "Quantum Algorithms and the Fourier Transform"
    • R. Jozsa, "Quantum Algorithms and the Fourier Transform," Proc. Royal Soc. London, vol. 454, pp. 323-337, 1997.
    • (1997) Proc. Royal Soc. London , vol.454 , pp. 323-337
    • Jozsa, R.1
  • 13
    • 0037058373 scopus 로고    scopus 로고
    • "Quantum Fast Fourier Transform Using Multilevel Atoms"
    • A. Muthukrishnan and C. Stroud Jr., "Quantum Fast Fourier Transform Using Multilevel Atoms," J. Modern Optics, vol. 49, pp. 2115-2127, 2002.
    • (2002) J. Modern Optics , vol.49 , pp. 2115-2127
    • Muthukrishnan, A.1    Stroud Jr., C.2
  • 14
    • 0036086131 scopus 로고    scopus 로고
    • "The Role of Super-Fast Transforms in Speeding up Quantum Computation"
    • Z. Zilic and K. Radecka, "The Role of Super-Fast Transforms in Speeding up Quantum Computation," Proc. 32nd Int'l Symp. Multiple-Valued Logic, pp. 89-95, 2002.
    • (2002) Proc. 32nd Int'l Symp. Multiple-Valued Logic , pp. 89-95
    • Zilic, Z.1    Radecka, K.2
  • 16
    • 0142051871 scopus 로고    scopus 로고
    • "Polynomial Time Algorithms for Prime Factorization and Discrete Logarithm"
    • P.W. Shor, "Polynomial Time Algorithms for Prime Factorization and Discrete Logarithm," SIAM J. Computing, vol. 26, no. 5, pp. 1484-1509, 1997.
    • (1997) SIAM J. Computing , vol.26 , Issue.5 , pp. 1484-1509
    • Shor, P.W.1
  • 17
    • 0035272320 scopus 로고    scopus 로고
    • "Toward Quantum Computation: A Five-Qubit Quantum Processor"
    • Jan./Feb
    • M. Steffen, L.M.K. Vandersypen, and I.L. Chuang, "Toward Quantum Computation: A Five-Qubit Quantum Processor," IEEE Micro, vol. 27, no. 1, pp. 24-34, Jan./Feb. 2001.
    • (2001) IEEE Micro , vol.27 , Issue.1 , pp. 24-34
    • Steffen, M.1    Vandersypen, L.M.K.2    Chuang, I.L.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.