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Volumn 20, Issue 11-13, 2006, Pages 1893-1916

Chirped pulses, gauss sums and the factorization of numbers

Author keywords

Autocorrelation function; Chirped laser pulses; Factorization; Gau sums; Quantum rotor; Riemann function; Two photon transition

Indexed keywords


EID: 33744728092     PISSN: 02179792     EISSN: None     Source Type: Journal    
DOI: 10.1142/S021797920603439X     Document Type: Conference Paper
Times cited : (21)

References (37)
  • 14
    • 85115374351 scopus 로고
    • Algorithms for quantum computation: Discrete logarithms and factoring
    • ed. S. Goldwasser (IEEE Computer Society Press)
    • P. Shor, Algorithms for quantum computation: Discrete logarithms and factoring, in Proc. 35th Annual Symposium on Foundations of Computer Science, ed. S. Goldwasser (IEEE Computer Society Press, 1994) pp. 124-134.
    • (1994) Proc. 35th Annual Symposium on Foundations of Computer Science , pp. 124-134
    • Shor, P.1
  • 15
    • 0029513752 scopus 로고
    • A crucial ingredient of this algorithm is the quantum Fourier transform. In the context of realizing a Hamiltonian that performs a desired unitary transformation in a 2N-port device the trace of the discrete Fourier transform is identified as a Gauß sum. See for example, P. Törmä, S. Stenholm, and I. Jex, Phys. Rev. A52, 4853 (1995).
    • (1995) Phys. Rev. , vol.A52 , pp. 4853
    • Törmä, P.1    Stenholm, S.2    Jex, I.3
  • 34
    • 0004241917 scopus 로고    scopus 로고
    • ed. by P. R. Berman (Academic, Chestnut Hill)
    • It was applied to the Talbot effect in atom optics by B. Dubetsky and P. R. Berman in: "Atom Interferometry" ed. by P. R. Berman (Academic, Chestnut Hill, 1997);
    • (1997) Atom Interferometry
    • Dubetsky, B.1    Berman, P.R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.