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Volumn 42, Issue 7, 2003, Pages 1461-1478

Quantum Algorithm for Hilbert's Tenth Problem

Author keywords

Computability; Hypercomputation; Quantum adiabatic computation; Quantum algorithms

Indexed keywords


EID: 0347756905     PISSN: 00207748     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1025780028846     Document Type: Article
Times cited : (51)

References (27)
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    • Benioff, P.1
  • 3
    • 4243688364 scopus 로고    scopus 로고
    • Error correction for continuous variables
    • Braunstein, S. (1998). Error correction for continuous variables. Physical Review Letters 80, 4084.
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    • Braunstein, S.1
  • 10
    • 4243807288 scopus 로고    scopus 로고
    • Quantum mechanics helps in searching for a needle in a haystack
    • Grover, L. K. (1997). Quantum mechanics helps in searching for a needle in a haystack. Physical Review Letters 79, 325-328.
    • (1997) Physical Review Letters , vol.79 , pp. 325-328
    • Grover, L.K.1
  • 12
    • 0000071705 scopus 로고    scopus 로고
    • Quantum annealing in the transverse Ising model
    • Kadowaki, T. and Nishimori, H. (1998). Quantum annealing in the transverse Ising model. Physical Review E 58, 5355.
    • (1998) Physical Review E , vol.58 , pp. 5355
    • Kadowaki, T.1    Nishimori, H.2
  • 15
    • 0043158744 scopus 로고    scopus 로고
    • Computing the noncomputable
    • Kieu, T. D. (2002). Computing the noncomputable. Contemporary Physics 44, 51-71.
    • (2002) Contemporary Physics , vol.44 , pp. 51-71
    • Kieu, T.D.1
  • 17
    • 0000965389 scopus 로고    scopus 로고
    • Quantum computation over continuous variables
    • Lloyd, S. and Braunstein, S. L. (1999). Quantum computation over continuous variables. Physical Review Letters 82, 1784.
    • (1999) Physical Review Letters , vol.82 , pp. 1784
    • Lloyd, S.1    Braunstein, S.L.2
  • 19
    • 0031566639 scopus 로고    scopus 로고
    • Computable functions, quantum measurements, and quantum dynamics
    • Nielsen, M. A. (1997). Computable functions, quantum measurements, and quantum dynamics, Physical Review, Letters 79, 2915-2918.
    • (1997) Physical Review Letters , vol.79 , pp. 2915-2918
    • Nielsen, M.A.1
  • 26
    • 0142051871 scopus 로고    scopus 로고
    • Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer
    • Shor, P. W. (1997). Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer. SIAM Journal of Computing 26, 1484-1509.
    • (1997) SIAM Journal of Computing , vol.26 , pp. 1484-1509
    • Shor, P.W.1
  • 27
    • 33746708860 scopus 로고
    • A single quantum cannot be cloned
    • Wooters, W. K. and Zurek, W. H. (1982). A single quantum cannot be cloned. Nature 299, 802-803.
    • (1982) Nature , vol.299 , pp. 802-803
    • Wooters, W.K.1    Zurek, W.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.