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Volumn 68, Issue 4 A, 2003, Pages

Covariant cloning machines for four-level systems

Author keywords

[No Author keywords available]

Indexed keywords

BIT ERROR RATE; CRYPTOGRAPHY; ERROR ANALYSIS; ESTIMATION; FOURIER TRANSFORMS; MATHEMATICAL OPERATORS; MATRIX ALGEBRA; MIRRORS; NUMERICAL ANALYSIS; OPTICAL BEAM SPLITTERS; PHOTONS; SIGNAL ENCODING;

EID: 18144438986     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (13)

References (34)
  • 15
    • 0347959166 scopus 로고    scopus 로고
    • note
    • By assumption, two orthonormal bases of an N-dimensional Hilbert space are said to be mutually unbiased if the norm of the scalar product between any two vectors each belonging to one of the bases is equal to 1/√N.
  • 20
    • 0347959163 scopus 로고    scopus 로고
    • note
    • The sum operator inside the kets is always defined modulo N.
  • 21
    • 0346067698 scopus 로고    scopus 로고
    • note
    • This is actually the state that Eve would prepare if she intercepted a state |ψ> sent by Alice. This indeed shows that sending |ψ> to Bob, or using the maximally entangled state, is equivalent for what concerns cloning.
  • 27
    • 0346698456 scopus 로고    scopus 로고
    • e-print quant-ph/0304149
    • T. Durt and B. Nagler, e-print quant-ph/0304149.
    • Durt, T.1    Nagler, B.2
  • 29
    • 85088491744 scopus 로고    scopus 로고
    • note
    • 2-dimensional Hilbert space assigned to Eve (B and C).
  • 31
    • 0347328934 scopus 로고    scopus 로고
    • note
    • Of course this choice was not random. It was shown [5,30] that such a matrix clones all the states that belong to the two Fourier bases with the same fidelity. However there is no guarantee that there are no other matrices which have this property. If we demand covariance of the cloner state, we have the assurance that Eq. (45) is the only solution.
  • 34
    • 0347959160 scopus 로고    scopus 로고
    • (private communication)
    • N. Cerf (private communication).
    • Cerf, N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.