메뉴 건너뛰기




Volumn 109, Issue 19, 2012, Pages

Measuring gaussian quantum information and correlations using the Rényi entropy of order 2

Author keywords

[No Author keywords available]

Indexed keywords

GAUSSIAN ENTANGLEMENT; GAUSSIAN STATE; GAUSSIANS; HARMONIC SYSTEM; MULTIMODES; NATURAL MEASURE; ORDER 2; PHASE SPACES; QUANTUM CORRELATIONS; QUANTUM INFORMATION; QUANTUM INFORMATION THEORY; SHANNON SAMPLING; SUBADDITIVITY; WIGNER DISTRIBUTION;

EID: 84869053042     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.109.190502     Document Type: Article
Times cited : (253)

References (89)
  • 3
    • 23644450948 scopus 로고    scopus 로고
    • Partial quantum information
    • DOI 10.1038/nature03909
    • M. Horodecki, J. Oppenheim, and A. Winter, Nature (London) 436, 673 (2005); NATUAS 0028-0836 10.1038/nature03909 (Pubitemid 41117265)
    • (2005) Nature , vol.436 , Issue.7051 , pp. 673-676
    • Horodecki, M.1    Oppenheim, J.2    Winter, A.3
  • 5
    • 42749106348 scopus 로고    scopus 로고
    • A family of quantum protocols
    • DOI 10.1103/PhysRevLett.93.230504, 230504
    • I. Devetak, A.W. Harrow, and A. Winter, Phys. Rev. Lett. 93, 230504 (2004); PRLTAO 0031-9007 10.1103/PhysRevLett.93.230504 (Pubitemid 40072708)
    • (2004) Physical Review Letters , vol.93 , Issue.23 , pp. 2305041-2305044
    • Devetak, I.1    Harrow, A.W.2    Winter, A.3
  • 8
  • 10
    • 5844266551 scopus 로고
    • RMPHAT 0034-6861 10.1103/RevModPhys.50.221
    • A. Wehrl, Rev. Mod. Phys. 50, 221 (1978). RMPHAT 0034-6861 10.1103/RevModPhys.50.221
    • (1978) Rev. Mod. Phys. , vol.50 , pp. 221
    • Wehrl, A.1
  • 12
    • 84869071089 scopus 로고    scopus 로고
    • J.C. Baez, arXiv:1102.2098.
    • J.C. Baez, arXiv:1102.2098.
  • 13
    • 23944486465 scopus 로고    scopus 로고
    • Note on multiple additivity of minimal renyi entropy output of the werner-holevo channels
    • DOI 10.1007/s11080-004-6624-4
    • R. Alicki and M. Fannes, Open Syst. Inf. Dyn. 11, 339 (2004); OSIDFU 1230-1612 10.1007/s11080-004-6624-4 (Pubitemid 41195571)
    • (2004) Open Systems and Information Dynamics , vol.11 , Issue.4 , pp. 339-342
    • Alicki, R.1    Fannes, M.2
  • 14
    • 21244443458 scopus 로고    scopus 로고
    • Classical information capacity of a class of quantum channels
    • DOI 10.1088/1367-2630/7/1/093, PII S1367263005951057
    • M.M. Wolf and J. Eisert, New J. Phys. 7, 93 (2005); NJOPFM 1367-2630 10.1088/1367-2630/7/1/093 (Pubitemid 40899117)
    • (2005) New Journal of Physics , vol.7
    • Wolf, M.M.1    Eisert, J.2
  • 15
    • 79952824089 scopus 로고    scopus 로고
    • IETTAW 0018-9448 10.1109/TIT.2011.2110050
    • M. Mosonyi and F. Hiai, IEEE Trans. Inf. Theory 57, 2474 (2011). IETTAW 0018-9448 10.1109/TIT.2011.2110050
    • (2011) IEEE Trans. Inf. Theory , vol.57 , pp. 2474
    • Mosonyi, M.1    Hiai, F.2
  • 18
    • 38749101973 scopus 로고    scopus 로고
    • JPHAC5 1751-8113 10.1088/1751-8113/41/2/025302
    • F. Franchini, A.R. Its, and V.E. Korepin, J. Phys. A 41, 025302 (2008); JPHAC5 1751-8113 10.1088/1751-8113/41/2/025302
    • (2008) J. Phys. A , vol.41 , pp. 025302
    • Franchini, F.1    Its, A.R.2    Korepin, V.E.3
  • 19
    • 66949111858 scopus 로고    scopus 로고
    • IETTAW 0018-9448 10.1109/TIT.2009.2018340
    • N. Datta and R. Renner, IEEE Trans. Inf. Theory 55, 2807 (2009); IETTAW 0018-9448 10.1109/TIT.2009.2018340
    • (2009) IEEE Trans. Inf. Theory , vol.55 , pp. 2807
    • Datta, N.1    Renner, R.2
  • 20
    • 84869018372 scopus 로고    scopus 로고
    • S.M. Giampaolo, S. Montangero, F. Dell'Anno, S. De Siena, and F. Illuminati, arXiv:1208.0735.
    • S.M. Giampaolo, S. Montangero, F. Dell'Anno, S. De Siena, and F. Illuminati, arXiv:1208.0735.
  • 21
    • 0034652055 scopus 로고    scopus 로고
    • Entanglement monotones
    • DOI 10.1080/095003400148268, Physics of Quantum Information
    • G. Vidal, J. Mod. Opt. 47, 355 (2000). JMOPEW 0950-0340 10.1080/095003400148268 (Pubitemid 35392918)
    • (2000) Journal of Modern Optics , vol.47 , pp. 355-376
    • Vidal, G.1
  • 22
    • 78649637496 scopus 로고    scopus 로고
    • JPHAC5 1751-8113 10.1088/1751-8113/43/44/445305
    • J.S. Kim and B.C. Sanders, J. Phys. A 43, 445305 (2010). JPHAC5 1751-8113 10.1088/1751-8113/43/44/445305
    • (2010) J. Phys. A , vol.43 , pp. 445305
    • Kim, J.S.1    Sanders, B.C.2
  • 25
    • 0346688149 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.61.052306
    • V. Coffman, J. Kundu, and W.K. Wootters, Phys. Rev. A 61, 052306 (2000). PLRAAN 1050-2947 10.1103/PhysRevA.61.052306
    • (2000) Phys. Rev. A , vol.61 , pp. 052306
    • Coffman, V.1    Kundu, J.2    Wootters, W.K.3
  • 26
    • 33744959391 scopus 로고    scopus 로고
    • General monogamy inequality for bipartite qubit entanglement
    • DOI 10.1103/PhysRevLett.96.220503
    • T.J. Osborne and F. Verstraete, Phys. Rev. Lett. 96, 220503 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.220503 (Pubitemid 43855979)
    • (2006) Physical Review Letters , vol.96 , Issue.22 , pp. 220503
    • Osborne, T.J.1    Verstraete, F.2
  • 27
    • 77950224231 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.81.032332
    • M.F. Cornelio and M.C. de Oliveira, Phys. Rev. A 81, 032332 (2010). PLRAAN 1050-2947 10.1103/PhysRevA.81.032332
    • (2010) Phys. Rev. A , vol.81 , pp. 032332
    • Cornelio, M.F.1    De Oliveira, M.C.2
  • 28
    • 1142292319 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.68.062318
    • G. Adesso, F. Illuminati, and S. De Siena, Phys. Rev. A 68, 062318 (2003). PLRAAN 1050-2947 10.1103/PhysRevA.68.062318
    • (2003) Phys. Rev. A , vol.68 , pp. 062318
    • Adesso, G.1    Illuminati, F.2    De Siena, S.3
  • 29
    • 27144459059 scopus 로고    scopus 로고
    • Quantum information with continuous variables
    • DOI 10.1103/RevModPhys.77.513
    • S.L. Braunstein and P. van Loock, Rev. Mod. Phys. 77, 513 (2005). RMPHAT 0034-6861 10.1103/RevModPhys.77.513 (Pubitemid 41491330)
    • (2005) Reviews of Modern Physics , vol.77 , Issue.2 , pp. 513-577
    • Braunstein, L.S.1    Van Loock, P.2
  • 31
    • 34547491739 scopus 로고    scopus 로고
    • JPHAC5 1751-8113 10.1088/1751-8113/40/28/S01
    • G. Adesso and F. Illuminati, J. Phys. A 40, 7821 (2007). JPHAC5 1751-8113 10.1088/1751-8113/40/28/S01
    • (2007) J. Phys. A , vol.40 , pp. 7821
    • Adesso, G.1    Illuminati, F.2
  • 33
    • 33644639117 scopus 로고    scopus 로고
    • Extremality of Gaussian quantum states
    • DOI 10.1103/PhysRevLett.96.080502, 080502
    • M.M. Wolf, G. Giedke, and J.I. Cirac, Phys. Rev. Lett. 96, 080502 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.080502 (Pubitemid 43327450)
    • (2006) Physical Review Letters , vol.96 , Issue.8 , pp. 1-4
    • Wolf, M.M.1    Giedke, G.2    Cirac, J.I.3
  • 36
    • 63849119968 scopus 로고    scopus 로고
    • NPAHAX 1745-2473 10.1038/nphys1224
    • M.B. Hastings, Nat. Phys. 5, 255 (2009). NPAHAX 1745-2473 10.1038/nphys1224
    • (2009) Nat. Phys. , vol.5 , pp. 255
    • Hastings, M.B.1
  • 39
    • 4043080685 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.69.062307
    • V. Giovannetti and S. Lloyd, Phys. Rev. A 69, 062307 (2004); PLRAAN 1050-2947 10.1103/PhysRevA.69.062307
    • (2004) Phys. Rev. A , vol.69 , pp. 062307
    • Giovannetti, V.1    Lloyd, S.2
  • 41
    • 84869071087 scopus 로고    scopus 로고
    • S. Lloyd, V. Giovannetti, L. Maccone, N.J. Cerf, S. Guha, R. Garcia-Patron, S. Mitter, S. Pirandola, M.B. Ruskai, J.H. Shapiro, and H. Yuan, arXiv:0906.2758v3
    • S. Lloyd, V. Giovannetti, L. Maccone, N.J. Cerf, S. Guha, R. Garcia-Patron, S. Mitter, S. Pirandola, M.B. Ruskai, J.H. Shapiro, and H. Yuan, arXiv:0906.2758v3;
  • 43
    • 19544375403 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.70.022318
    • G. Adesso, A. Serafini, and F. Illuminati, Phys. Rev. A 70, 022318 (2004). PLRAAN 1050-2947 10.1103/PhysRevA.70.022318
    • (2004) Phys. Rev. A , vol.70 , pp. 022318
    • Adesso, G.1    Serafini, A.2    Illuminati, F.3
  • 46
    • 0037033316 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.88.017901
    • H. Ollivier and W.H. Zurek, Phys. Rev. Lett. 88, 017901 (2001). PRLTAO 0031-9007 10.1103/PhysRevLett.88.017901
    • (2001) Phys. Rev. Lett. , vol.88 , pp. 017901
    • Ollivier, H.1    Zurek, W.H.2
  • 47
    • 0035823451 scopus 로고    scopus 로고
    • JPHAC5 0305-4470 10.1088/0305-4470/34/35/315
    • L. Henderson and V. Vedral, J. Phys. A 34, 6899 (2001). JPHAC5 0305-4470 10.1088/0305-4470/34/35/315
    • (2001) J. Phys. A , vol.34 , pp. 6899
    • Henderson, L.1    Vedral, V.2
  • 48
    • 84869018377 scopus 로고    scopus 로고
    • K. Modi, A. Brodutch, H. Cable, T. Paterek, and V. Vedral, arXiv:1112.6238v2 [Rev. Mod. Phys. (to be published)]. RMPHAT 0034-6861
    • K. Modi, A. Brodutch, H. Cable, T. Paterek, and V. Vedral, arXiv:1112.6238v2 [Rev. Mod. Phys. (to be published)]. RMPHAT 0034-6861
  • 49
    • 77954791361 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.105.030501
    • G. Adesso and A. Datta, Phys. Rev. Lett. 105, 030501 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.030501
    • (2010) Phys. Rev. Lett. , vol.105 , pp. 030501
    • Adesso, G.1    Datta, A.2
  • 50
    • 77954419066 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.105.020503
    • P. Giorda and M.G.A. Paris, Phys. Rev. Lett. 105, 020503 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.020503
    • (2010) Phys. Rev. Lett. , vol.105 , pp. 020503
    • Giorda, P.1    Paris, M.G.A.2
  • 51
    • 33646376711 scopus 로고    scopus 로고
    • NJOPFM 1367-2630 10.1088/1367-2630/8/1/015
    • G. Adesso and F. Illuminati, New J. Phys. 8, 15 (2006). NJOPFM 1367-2630 10.1088/1367-2630/8/1/015
    • (2006) New J. Phys. , vol.8 , pp. 15
    • Adesso, G.1    Illuminati, F.2
  • 52
    • 33846847454 scopus 로고    scopus 로고
    • Monogamy inequality for distributed Gaussian entanglement
    • DOI 10.1103/PhysRevLett.98.050503
    • T. Hiroshima, G. Adesso, and F. Illuminati, Phys. Rev. Lett. 98, 050503 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.98.050503 (Pubitemid 46203540)
    • (2007) Physical Review Letters , vol.98 , Issue.5 , pp. 050503
    • Hiroshima, T.1    Adesso, G.2    Illuminati, F.3
  • 53
    • 80155206769 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.84.054301
    • G.L. Giorgi, Phys. Rev. A 84, 054301 (2011). PLRAAN 1050-2947 10.1103/PhysRevA.84.054301
    • (2011) Phys. Rev. A , vol.84 , pp. 054301
    • Giorgi, G.L.1
  • 54
  • 56
    • 0442326656 scopus 로고    scopus 로고
    • JPAPEH 0953-4075 10.1088/0953-4075/37/2/L02
    • A. Serafini, F. Illuminati, and S. De Siena, J. Phys. B 37, L21 (2004). JPAPEH 0953-4075 10.1088/0953-4075/37/2/L02
    • (2004) J. Phys. B , vol.37 , pp. 21
    • Serafini, A.1    Illuminati, F.2    De Siena, S.3
  • 57
    • 35949005398 scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.51.2575
    • V. Bužek, C.H. Keitel, and P.L. Knight, Phys. Rev. A 51, 2575 (1995). PLRAAN 1050-2947 10.1103/PhysRevA.51.2575
    • (1995) Phys. Rev. A , vol.51 , pp. 2575
    • Bužek, V.1    Keitel, C.H.2    Knight, P.L.3
  • 61
    • 84869068210 scopus 로고    scopus 로고
    • See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevLett.109.190502 for additional explicit expressions and proofs.
  • 63
    • 0001316020 scopus 로고
    • AJMAAN 0002-9327 10.2307/2371062
    • J. Williamson, Am. J. Math. 58, 141 (1936). AJMAAN 0002-9327 10.2307/2371062
    • (1936) Am. J. Math. , vol.58 , pp. 141
    • Williamson, J.1
  • 65
    • 33645524921 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.73.032345
    • G. Adesso, A. Serafini, and F. Illuminati, Phys. Rev. A 73, 032345 (2006). PLRAAN 1050-2947 10.1103/PhysRevA.73.032345
    • (2006) Phys. Rev. A , vol.73 , pp. 032345
    • Adesso, G.1    Serafini, A.2    Illuminati, F.3
  • 67
    • 0037163801 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.89.137904
    • J. Fiurášek, Phys. Rev. Lett. 89, 137904 (2002); PRLTAO 0031-9007 10.1103/PhysRevLett.89.137904
    • (2002) Phys. Rev. Lett. , vol.89 , pp. 137904
    • Fiurášek, J.1
  • 68
    • 0036757946 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.66.032316
    • G. Giedke and J.I. Cirac, Phys. Rev. A 66, 032316 (2002). PLRAAN 1050-2947 10.1103/PhysRevA.66.032316
    • (2002) Phys. Rev. A , vol.66 , pp. 032316
    • Giedke, G.1    Cirac, J.I.2
  • 69
    • 84869018376 scopus 로고    scopus 로고
    • A. Datta, arXiv:1003.5256v2;
    • A. Datta, arXiv:1003.5256v2;
  • 70
    • 84869071086 scopus 로고    scopus 로고
    • Phd Thesis, The University of New Mexico, arXiv:0807.4490;
    • A. Datta, Phd Thesis, The University of New Mexico, 2008, arXiv:0807.4490;
    • (2008)
    • Datta, A.1
  • 71
    • 84869071090 scopus 로고    scopus 로고
    • P.J. Coles, arXiv:1101.1717.
    • P.J. Coles, arXiv:1101.1717.
  • 72
    • 2142702206 scopus 로고    scopus 로고
    • Structure of states which satisfy strong subadditivity of quantum entropy with equality
    • DOI 10.1007/s00220-004-1049-z
    • P. Hayden, R. Jozsa, D. Petz, and A. Winter, Commun. Math. Phys. 246, 359 (2004). CMPHAY 0010-3616 10.1007/s00220-004-1049-z (Pubitemid 38545927)
    • (2004) Communications in Mathematical Physics , vol.246 , Issue.2 , pp. 359-374
    • Hayden, P.1    Jozsa, R.2    Petz, D.3    Winter, A.4
  • 73
    • 72249116491 scopus 로고    scopus 로고
    • JMAPAQ 0022-2488 10.1063/1.3253974
    • D. Petz and J. Pitrik, J. Math. Phys. (N.Y.) 50, 113517 (2009). JMAPAQ 0022-2488 10.1063/1.3253974
    • (2009) J. Math. Phys. (N.Y.) , vol.50 , pp. 113517
    • Petz, D.1    Pitrik, J.2
  • 74
    • 1942508188 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.69.022309
    • M. Koashi and A. Winter, Phys. Rev. A 69, 022309 (2004). PLRAAN 1050-2947 10.1103/PhysRevA.69.022309
    • (2004) Phys. Rev. A , vol.69 , pp. 022309
    • Koashi, M.1    Winter, A.2
  • 76
    • 0038445837 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.67.052311
    • A. Botero and B. Reznik, Phys. Rev. A 67, 052311 (2003); PLRAAN 1050-2947 10.1103/PhysRevA.67.052311
    • (2003) Phys. Rev. A , vol.67 , pp. 052311
    • Botero, A.1    Reznik, B.2
  • 78
    • 0037243640 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.67.012108
    • A. Miyake, Phys. Rev. A 67, 012108 (2003). PLRAAN 1050-2947 10.1103/PhysRevA.67.012108
    • (2003) Phys. Rev. A , vol.67 , pp. 012108
    • Miyake, A.1
  • 79
    • 84859412102 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.85.040301
    • M. Piani and G. Adesso, Phys. Rev. A 85, 040301(R) (2012). PLRAAN 1050-2947 10.1103/PhysRevA.85.040301
    • (2012) Phys. Rev. A , vol.85
    • Piani, M.1    Adesso, G.2
  • 81
    • 78149319038 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.105.190502
    • B. Dakić, V. Vedral, and C. Brukner, Phys. Rev. Lett. 105, 190502 (2010); PRLTAO 0031-9007 10.1103/PhysRevLett.105.190502
    • (2010) Phys. Rev. Lett. , vol.105 , pp. 190502
    • Dakić, B.1    Vedral, V.2    Brukner, C.3
  • 82
    • 77957119683 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.82.034302
    • S. Luo and S. Fu, Phys. Rev. A 82, 034302 (2010). PLRAAN 1050-2947 10.1103/PhysRevA.82.034302
    • (2010) Phys. Rev. A , vol.82 , pp. 034302
    • Luo, S.1    Fu, S.2
  • 83
  • 84
    • 78650985566 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.82.052341
    • M.G. Genoni and M.G.A. Paris, Phys. Rev. A 82, 052341 (2010); PLRAAN 1050-2947 10.1103/PhysRevA.82.052341
    • (2010) Phys. Rev. A , vol.82 , pp. 052341
    • Genoni, M.G.1    Paris, M.G.A.2
  • 88
    • 33645137748 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.73.032335
    • L. Mišta Jr., Phys. Rev. A 73, 032335 (2006). PLRAAN 1050-2947 10.1103/PhysRevA.73.032335
    • (2006) Phys. Rev. A , vol.73 , pp. 032335
    • Mišta, Jr.L.1
  • 89
    • 27144453298 scopus 로고    scopus 로고
    • Non-Gaussian cloning of quantum coherent states is optimal
    • DOI 10.1103/PhysRevLett.95.070501, 070501
    • N.J. Cerf, O. Krüger, P. Navez, R.F. Werner, and M.M. Wolf, Phys. Rev. Lett. 95, 070501 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.95.070501 (Pubitemid 41506023)
    • (2005) Physical Review Letters , vol.95 , Issue.7 , pp. 1-4
    • Cerf, N.J.1    Kruger, O.2    Navez, P.3    Werner, R.F.4    Wolf, M.M.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.