메뉴 건너뛰기




Volumn 66, Issue 3, 2002, Pages 323161-323167

Characterization of Gaussian operations and distillation of Gaussian states

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION METHODS; FOURIER TRANSFORMS; GAUSSIAN NOISE (ELECTRONIC); MATRIX ALGEBRA; OPTICAL BEAM SPLITTERS; OSCILLATORS (ELECTRONIC); PHOTODETECTORS; QUANTUM THEORY; VECTORS;

EID: 0036757946     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (530)

References (47)
  • 2
    • 0000619015 scopus 로고
    • L. Vaidman, Phys. Rev. A 49, 1473 (1994); S.L. Braunstein and H.J. Kimble, Phys. Rev. Lett. 80, 869 (1998).
    • (1994) Phys. Rev. A , vol.49 , pp. 1473
    • Vaidman, L.1
  • 4
    • 0346688181 scopus 로고    scopus 로고
    • T.C. Ralph, Phys. Rev. A 61, 010303 (2000); M. Hillery, ibid. 61, 022309 (2000); M.D. Reid, ibid. 62, 062308 (2000); S.F. Pereira, Z.Y. Ou, and H.J. Kimble, ibid. 62, 042311 (2000); D. Gottesman and J. Preskill, ibid. 63, 022309 (2001); N.J. Cerf, M. Levy, and G. van Assche, ibid. 63, 052311 (2001); F. Grosshans and P. Grangier, Phys. Rev. Lett. 88, 057902 (2002); Ch. Silberhorn, N. Korolkova, and G. Leuchs, Phys. Rev. Lett. 88, 167902 (2002).
    • (2000) Phys. Rev. A , vol.61 , pp. 010303
    • Ralph, T.C.1
  • 5
    • 4243332662 scopus 로고    scopus 로고
    • T.C. Ralph, Phys. Rev. A 61, 010303 (2000); M. Hillery, ibid. 61, 022309 (2000); M.D. Reid, ibid. 62, 062308 (2000); S.F. Pereira, Z.Y. Ou, and H.J. Kimble, ibid. 62, 042311 (2000); D. Gottesman and J. Preskill, ibid. 63, 022309 (2001); N.J. Cerf, M. Levy, and G. van Assche, ibid. 63, 052311 (2001); F. Grosshans and P. Grangier, Phys. Rev. Lett. 88, 057902 (2002); Ch. Silberhorn, N. Korolkova, and G. Leuchs, Phys. Rev. Lett. 88, 167902 (2002).
    • (2000) Phys. Rev. A , vol.61 , pp. 022309
    • Hillery, M.1
  • 6
    • 4243703966 scopus 로고    scopus 로고
    • T.C. Ralph, Phys. Rev. A 61, 010303 (2000); M. Hillery, ibid. 61, 022309 (2000); M.D. Reid, ibid. 62, 062308 (2000); S.F. Pereira, Z.Y. Ou, and H.J. Kimble, ibid. 62, 042311 (2000); D. Gottesman and J. Preskill, ibid. 63, 022309 (2001); N.J. Cerf, M. Levy, and G. van Assche, ibid. 63, 052311 (2001); F. Grosshans and P. Grangier, Phys. Rev. Lett. 88, 057902 (2002); Ch. Silberhorn, N. Korolkova, and G. Leuchs, Phys. Rev. Lett. 88, 167902 (2002).
    • (2000) Phys. Rev. A , vol.62 , pp. 062308
    • Reid, M.D.1
  • 7
    • 85037256660 scopus 로고    scopus 로고
    • T.C. Ralph, Phys. Rev. A 61, 010303 (2000); M. Hillery, ibid. 61, 022309 (2000); M.D. Reid, ibid. 62, 062308 (2000); S.F. Pereira, Z.Y. Ou, and H.J. Kimble, ibid. 62, 042311 (2000); D. Gottesman and J. Preskill, ibid. 63, 022309 (2001); N.J. Cerf, M. Levy, and G. van Assche, ibid. 63, 052311 (2001); F. Grosshans and P. Grangier, Phys. Rev. Lett. 88, 057902 (2002); Ch. Silberhorn, N. Korolkova, and G. Leuchs, Phys. Rev. Lett. 88, 167902 (2002).
    • (2000) Phys. Rev. A , vol.62 , pp. 042311
    • Pereira, S.F.1    Ou, Z.Y.2    Kimble, H.J.3
  • 8
    • 0141771056 scopus 로고    scopus 로고
    • T.C. Ralph, Phys. Rev. A 61, 010303 (2000); M. Hillery, ibid. 61, 022309 (2000); M.D. Reid, ibid. 62, 062308 (2000); S.F. Pereira, Z.Y. Ou, and H.J. Kimble, ibid. 62, 042311 (2000); D. Gottesman and J. Preskill, ibid. 63, 022309 (2001); N.J. Cerf, M. Levy, and G. van Assche, ibid. 63, 052311 (2001); F. Grosshans and P. Grangier, Phys. Rev. Lett. 88, 057902 (2002); Ch. Silberhorn, N. Korolkova, and G. Leuchs, Phys. Rev. Lett. 88, 167902 (2002).
    • (2001) Phys. Rev. A , vol.63 , pp. 022309
    • Gottesman, D.1    Preskill, J.2
  • 9
    • 0035332232 scopus 로고    scopus 로고
    • T.C. Ralph, Phys. Rev. A 61, 010303 (2000); M. Hillery, ibid. 61, 022309 (2000); M.D. Reid, ibid. 62, 062308 (2000); S.F. Pereira, Z.Y. Ou, and H.J. Kimble, ibid. 62, 042311 (2000); D. Gottesman and J. Preskill, ibid. 63, 022309 (2001); N.J. Cerf, M. Levy, and G. van Assche, ibid. 63, 052311 (2001); F. Grosshans and P. Grangier, Phys. Rev. Lett. 88, 057902 (2002); Ch. Silberhorn, N. Korolkova, and G. Leuchs, Phys. Rev. Lett. 88, 167902 (2002).
    • (2001) Phys. Rev. A , vol.63 , pp. 052311
    • Cerf, N.J.1    Levy, M.2    Van Assche, G.3
  • 10
    • 0037017198 scopus 로고    scopus 로고
    • T.C. Ralph, Phys. Rev. A 61, 010303 (2000); M. Hillery, ibid. 61, 022309 (2000); M.D. Reid, ibid. 62, 062308 (2000); S.F. Pereira, Z.Y. Ou, and H.J. Kimble, ibid. 62, 042311 (2000); D. Gottesman and J. Preskill, ibid. 63, 022309 (2001); N.J. Cerf, M. Levy, and G. van Assche, ibid. 63, 052311 (2001); F. Grosshans and P. Grangier, Phys. Rev. Lett. 88, 057902 (2002); Ch. Silberhorn, N. Korolkova, and G. Leuchs, Phys. Rev. Lett. 88, 167902 (2002).
    • (2002) Phys. Rev. Lett. , vol.88 , pp. 057902
    • Grosshans, F.1    Grangier, P.2
  • 11
    • 0037156920 scopus 로고    scopus 로고
    • T.C. Ralph, Phys. Rev. A 61, 010303 (2000); M. Hillery, ibid. 61, 022309 (2000); M.D. Reid, ibid. 62, 062308 (2000); S.F. Pereira, Z.Y. Ou, and H.J. Kimble, ibid. 62, 042311 (2000); D. Gottesman and J. Preskill, ibid. 63, 022309 (2001); N.J. Cerf, M. Levy, and G. van Assche, ibid. 63, 052311 (2001); F. Grosshans and P. Grangier, Phys. Rev. Lett. 88, 057902 (2002); Ch. Silberhorn, N. Korolkova, and G. Leuchs, Phys. Rev. Lett. 88, 167902 (2002).
    • (2002) Phys. Rev. Lett. , vol.88 , pp. 167902
    • Silberhorn, Ch.1    Korolkova, N.2    Leuchs, G.3
  • 12
    • 4243688364 scopus 로고    scopus 로고
    • S.L. Braunstein, Phys. Rev. Lett. 80, 4084 (1998); S.L. Braunstein, Nature (London) 394, 47 (1998).
    • (1998) Phys. Rev. Lett. , vol.80 , pp. 4084
    • Braunstein, S.L.1
  • 13
    • 0032474866 scopus 로고    scopus 로고
    • S.L. Braunstein, Phys. Rev. Lett. 80, 4084 (1998); S.L. Braunstein, Nature (London) 394, 47 (1998).
    • (1998) Nature (London) , vol.394 , pp. 47
    • Braunstein, S.L.1
  • 15
    • 0000030150 scopus 로고
    • Z.Y. Ou, S.F. Pereira, H.J. Kimble, and K.C. Peng, Phys. Rev. Lett. 68, 3663 (1992); A. Furusawa, J.L. Sørensen, S.L. Braunstein, C.A. Fuchs, H.J. Kimble, and E.S. Polzik, Science 282, 706 (1998); C. Silberhorn, P.K. Lam, O. Weiss, F. Koenig, N. Korolkova, and G. Leuchs, Phys. Rev. Lett. 86, 4267 (2001); e-print quant-ph/0103002.
    • (1992) Phys. Rev. Lett. , vol.68 , pp. 3663
    • Ou, Z.Y.1    Pereira, S.F.2    Kimble, H.J.3    Peng, K.C.4
  • 16
    • 0032561423 scopus 로고    scopus 로고
    • Z.Y. Ou, S.F. Pereira, H.J. Kimble, and K.C. Peng, Phys. Rev. Lett. 68, 3663 (1992); A. Furusawa, J.L. Sørensen, S.L. Braunstein, C.A. Fuchs, H.J. Kimble, and E.S. Polzik, Science 282, 706 (1998); C. Silberhorn, P.K. Lam, O. Weiss, F. Koenig, N. Korolkova, and G. Leuchs, Phys. Rev. Lett. 86, 4267 (2001); e-print quant-ph/0103002.
    • (1998) Science , vol.282 , pp. 706
    • Furusawa, A.1    Sørensen, J.L.2    Braunstein, S.L.3    Fuchs, C.A.4    Kimble, H.J.5    Polzik, E.S.6
  • 17
    • 0035820799 scopus 로고    scopus 로고
    • e-print quant-ph/0103002
    • Z.Y. Ou, S.F. Pereira, H.J. Kimble, and K.C. Peng, Phys. Rev. Lett. 68, 3663 (1992); A. Furusawa, J.L. Sørensen, S.L. Braunstein, C.A. Fuchs, H.J. Kimble, and E.S. Polzik, Science 282, 706 (1998); C. Silberhorn, P.K. Lam, O. Weiss, F. Koenig, N. Korolkova, and G. Leuchs, Phys. Rev. Lett. 86, 4267 (2001); e-print quant-ph/0103002.
    • (2001) Phys. Rev. Lett. , vol.86 , pp. 4267
    • Silberhorn, C.1    Lam, P.K.2    Weiss, O.3    Koenig, F.4    Korolkova, N.5    Leuchs, G.6
  • 20
    • 0001062193 scopus 로고    scopus 로고
    • e-print quant-ph/9912017
    • L.-M. Duan, G. Giedke, J.I. Cirac, and P. Zoller, Phys. Rev. Lett. 84, 4002 (2000); e-print quant-ph/9912017; L.-M. Duan, G. Giedke, J.I. Cirac, and P. Zoller, Phys. Rev. A 62, 032304 (2000).
    • (2000) Phys. Rev. Lett. , vol.84 , pp. 4002
    • Duan, L.-M.1    Giedke, G.2    Cirac, J.I.3    Zoller, P.4
  • 21
    • 0346447293 scopus 로고    scopus 로고
    • L.-M. Duan, G. Giedke, J.I. Cirac, and P. Zoller, Phys. Rev. Lett. 84, 4002 (2000); e-print quant-ph/9912017; L.-M. Duan, G. Giedke, J.I. Cirac, and P. Zoller, Phys. Rev. A 62, 032304 (2000).
    • (2000) Phys. Rev. A , vol.62 , pp. 032304
    • Duan, L.-M.1    Giedke, G.2    Cirac, J.I.3    Zoller, P.4
  • 23
    • 0011408871 scopus 로고    scopus 로고
    • Ph.D. thesis, Innsbruck
    • G. Giedke, Ph.D. thesis, Innsbruck 2001.
    • (2001)
    • Giedke, G.1
  • 24
  • 28
    • 85015731792 scopus 로고    scopus 로고
    • note
    • 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. [10,11] it is described how the CM changes under the first four of these operations.
  • 32
    • 85015724765 scopus 로고    scopus 로고
    • note
    • 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.
  • 35
    • 85015751688 scopus 로고    scopus 로고
    • note
    • 2]. The limit can be performed directly on the level of correlation matrices yielding the expressions Eqs. (10).
  • 36
    • 85015774600 scopus 로고    scopus 로고
    • note
    • The correspondence of Gaussian operations and Gaussian states has been used in Ref. [35] to optimize continuous variable teleportation with Gaussian means.
  • 38
    • 0004151494 scopus 로고
    • Cambridge University Press, Cambridge
    • A-1C(CT 1/A C-B)-1) is very useful. See, e.g., R.A. Horn and C.R. Johnson, Matrix Analysis (Cambridge University Press, Cambridge, 1987).
    • (1987) Matrix Analysis
    • Horn, R.A.1    Johnson, C.R.2
  • 41
    • 0000588867 scopus 로고    scopus 로고
    • e-print quant-ph/9909044
    • R. Simon, Phys. Rev. Lett. 84, 2726 (2000); e-print quant-ph/9909044.
    • (2000) Phys. Rev. Lett. , vol.84 , pp. 2726
    • Simon, R.1
  • 46
    • 85015741579 scopus 로고    scopus 로고
    • to be published; e-print quant-ph/0204069
    • J. Fiurášek, Phys. Rev. Lett. (to be published); e-print quant-ph/0204069.
    • Phys. Rev. Lett.
    • Fiurášek, J.1
  • 47
    • 0036656257 scopus 로고    scopus 로고
    • e-print quant-ph/0202102
    • J. Fiurášek, Phys. Rev. A 66, 012304 (2002); e-print quant-ph/0202102.
    • (2002) Phys. Rev. A , vol.66 , pp. 012304
    • Fiurášek, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.