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Volumn 66, Issue 3, 2002, Pages 7-

Characterization of Gaussian operations and distillation of Gaussian states

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EID: 84867723712     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.66.032316     Document Type: Article
Times cited : (74)

References (61)
  • 29
    • 85037177588 scopus 로고    scopus 로고
    • G. Giedke, Ph.D. thesis, Innsbruck 2001
    • G. Giedke, Ph.D. thesis, Innsbruck 2001.
  • 36
    • 85037234025 scopus 로고    scopus 로고
    • Ref. 17 it is stated without proof that any Gaussian LOCC operation can be decomposed into a series of steps which involve additional ancillas in Gaussian states, local unitary Gaussian operations, projections into pure Gaussian states, partial traces, and “mixings such that the resulting state is Gaussian.” There and in Refs. 10 11 it is described how the CM changes under the first four of these operations
    • In Ref. 17 it is stated without proof that any Gaussian LOCC operation can be decomposed into a series of steps which involve additional ancillas in Gaussian states, local unitary Gaussian operations, projections into pure Gaussian states, partial traces, and “mixings such that the resulting state is Gaussian.” There and in Refs. 1011 it is described how the CM changes under the first four of these operations.
  • 38
    • 85037218452 scopus 로고    scopus 로고
    • D. Petz, An Invitation to the Algebra of Canonical Commutation Relations (Leuven University Press, Leuven, 1990)
    • D. Petz, An Invitation to the Algebra of Canonical Commutation Relations (Leuven University Press, Leuven, 1990).
  • 39
    • 85037193698 scopus 로고    scopus 로고
    • A. Perelomov, Generalized Coherent States (Springer Verlag, Berlin, 1986)
    • A. Perelomov, Generalized Coherent States (Springer Verlag, Berlin, 1986).
  • 40
    • 85037235939 scopus 로고    scopus 로고
    • Although this maximally entangled state does not belong to the Hilbert space, it can always be considered as a limit of a proper pure state
    • Although this maximally entangled state does not belong to the Hilbert space, it can always be considered as a limit of a proper pure state.
  • 44
    • 85037179249 scopus 로고    scopus 로고
    • A mathematically correct way of dealing with the “projections into improper eigenstates of (Formula presented)” would be via a limit procedure: define (Formula presented) and a “Bell-POVM” (Formula presented) Then we define (Formula presented) and finally (Formula presented) The limit can be performed directly on the level of correlation matrices yielding the expressions Eqs. (10)
    • A mathematically correct way of dealing with the “projections into improper eigenstates of (Formula presented)” would be via a limit procedure: define (Formula presented) and a “Bell-POVM” (Formula presented) Then we define (Formula presented) and finally (Formula presented) The limit can be performed directly on the level of correlation matrices yielding the expressions Eqs. (10).
  • 45
    • 85037197575 scopus 로고    scopus 로고
    • The correspondence of Gaussian operations and Gaussian states has been used in Ref. 35 to optimize continuous variable teleportation with Gaussian means
    • The correspondence of Gaussian operations and Gaussian states has been used in Ref. 35 to optimize continuous variable teleportation with Gaussian means.
  • 47
    • 85037252607 scopus 로고    scopus 로고
    • calculating the inverses of block matrices the formula (Formula presented)is very useful. See, e.g., R. A. Horn and C. R. Johnson, Matrix Analysis (Cambridge University Press, Cambridge, 1987)
    • In calculating the inverses of block matrices the formula (Formula presented)is very useful. See, e.g., R. A. Horn and C. R. Johnson, Matrix Analysis (Cambridge University Press, Cambridge, 1987).
  • 48
    • 85037201960 scopus 로고    scopus 로고
    • U. Leonhardt, Measuring the Quantum State of Light (Cambridge University Press, Cambridge, 1997)
    • U. Leonhardt, Measuring the Quantum State of Light (Cambridge University Press, Cambridge, 1997).
  • 52
    • 85037209750 scopus 로고    scopus 로고
    • R. Simone-print quant-ph/9909044.
    • Simon, R.1
  • 57
    • 85037198452 scopus 로고    scopus 로고
    • G. Giedke and J. I. Cirac (unpublished)
    • G. Giedke and J. I. Cirac (unpublished).
  • 59
    • 85037191744 scopus 로고    scopus 로고
    • J. Fiurášek, Phys. Rev. Lett. (to be published); e-print quant-ph/0204069.
    • Fiurášek, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.