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Volumn 68, Issue 2, 2003, Pages 223241-223249

Tomographic quantum cryptography

Author keywords

[No Author keywords available]

Indexed keywords

DATA REDUCTION; DEGREES OF FREEDOM (MECHANICS); MEASUREMENT THEORY; QUANTUM THEORY; TOMOGRAPHY;

EID: 0142088911     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (37)

References (47)
  • 14
    • 85015756627 scopus 로고    scopus 로고
    • note
    • 2 pairs of single-qunit observables that Alice and Bob are using.
  • 15
    • 85015733084 scopus 로고    scopus 로고
    • note
    • Wootters and Fields [16] showed that sets of pairwise complementary observables [17] are ideal for tomographic purposes and, extending earlier work by Ivanović [18], they constructed such sets for the case that n is a prime or a power of a prime. These distinguished sets of tomographically complete observables are central to the generalizations [19-21] of the 1987 spin-retrodiction puzzle of Vaidman, Aharonov, and Albert [22], of which a quantum-optical version was realized recently [23].
  • 17
    • 85015720469 scopus 로고    scopus 로고
    • note
    • Any single pair of complementary observables is algebraically complete, and for any quantum degree of freedom one can find such pairs, with characteristic properties. See Ref. [24] for a textbook discussion of these insights of Weyl [25] and Schwinger [26].
  • 25
    • 0009525360 scopus 로고
    • Gruppentheorie und Quantenmechanik Hirzel, Leipzig
    • H. Weyl, Z. Phys. 46, 1 (1927); Gruppentheorie und Quantenmechanik (Hirzel, Leipzig, 1928); English translation by H. P. Robertson, Theory of Groups and Quantum Mechanics (Dutton, New York, 1932).
    • (1927) Z. Phys. , vol.46 , pp. 1
    • Weyl, H.1
  • 26
    • 0009525360 scopus 로고
    • English translation Dutton, New York
    • H. Weyl, Z. Phys. 46, 1 (1927); Gruppentheorie und Quantenmechanik (Hirzel, Leipzig, 1928); English translation by H. P. Robertson, Theory of Groups and Quantum Mechanics (Dutton, New York, 1932).
    • (1932) Theory of Groups and Quantum Mechanics
    • Robertson, H.P.1
  • 27
    • 0000097463 scopus 로고
    • Exact Sciences and Their Philosophical Foundations, edited by W. Deppert, K. Hübner, A. Oberschelp, and V. Weidemann Verlag Peter Lang, Frankfurt am Main
    • J. Schwinger, Proc. Natl. Acad. Sci. U.S.A. 46, 570 (1960); in Exact Sciences and Their Philosophical Foundations, edited by W. Deppert, K. Hübner, A. Oberschelp, and V. Weidemann (Verlag Peter Lang, Frankfurt am Main, 1985).
    • (1960) Proc. Natl. Acad. Sci. U.S.A. , vol.46 , pp. 570
    • Schwinger, J.1
  • 28
    • 85015736692 scopus 로고    scopus 로고
    • note
    • 0 = n/ (n - 1), but this ratio is outside range (4) of physical interest.
  • 29
    • 85015729673 scopus 로고    scopus 로고
    • note
    • More generally, one could consider coherent attacks in which Eve prepares entangled multiqunit-pair states rather than the single-qunit-pair state of Eq. (3). Alice and Bob would then notice correlations between different qunit pairs. We take for granted that they protect themselves by also looking for such correlations at the time when they exchange information for the primary purpose of state tomography.
  • 31
    • 85015736636 scopus 로고    scopus 로고
    • e-print quant-ph/0110089
    • Wang Xiang-bin, e-print quant-ph/0110089.
    • Wang, X.-B.1
  • 36
    • 85015720439 scopus 로고    scopus 로고
    • note
    • 2 states of kind (28) for each value of m.
  • 39
    • 85015795639 scopus 로고    scopus 로고
    • note
    • tot(A & E), and has no effect on their difference.
  • 40
    • 6144265213 scopus 로고    scopus 로고
    • Entanglement distillation was originally proposed for qubits under the name of quantum privacy amplification
    • Entanglement distillation was originally proposed for qubits under the name of quantum privacy amplification by D. Deutsch, A. Ekert, R. Jozsa, C. Macchiavello, S. Popescu, and A. Sanpera, Phys. Rev. Lett. 77, 2818 (1996).
    • (1996) Phys. Rev. Lett. , vol.77 , pp. 2818
    • Deutsch, D.1    Ekert, A.2    Jozsa, R.3    Macchiavello, C.4    Popescu, S.5    Sanpera, A.6
  • 44
    • 85015736354 scopus 로고    scopus 로고
    • e-print quant-ph/0206058
    • P.W. Shor, e-print quant-ph/0206058.
    • Shor, P.W.1
  • 45
    • 85015743506 scopus 로고    scopus 로고
    • note
    • d(D) to convert our notational conventions to those of Ref. [9].


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.