메뉴 건너뛰기




Volumn 102, Issue 17, 2009, Pages

Entanglement and permutational symmetry

Author keywords

[No Author keywords available]

Indexed keywords

BOUND ENTANGLED STATE; BOUND ENTANGLEMENT; PERMUTATIONAL SYMMETRY; SYMMETRIC QUANTUM STATE; SYMMETRIC SYSTEMS;

EID: 67650302033     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.102.170503     Document Type: Article
Times cited : (124)

References (48)
  • 1
    • 67650298255 scopus 로고    scopus 로고
    • arXiv:quant-ph/0702225;
    • For reviews, see R. Horodecki, arXiv:quant-ph/0702225;
    • Horodecki, R.1
  • 3
    • 64349108096 scopus 로고    scopus 로고
    • PRPLCM 0370-1573 10.1016/j.physrep.2009.02.004
    • O. Gühne and G. Tóth, Phys. Rep. PRPLCM 0370-1573 474, 1 (2009). 10.1016/j.physrep.2009.02.004
    • (2009) Phys. Rep. , vol.474 , pp. 1
    • Gühne, O.1    Tóth, G.2
  • 5
    • 67650313430 scopus 로고
    • Vieweg, Braunschweig
    • E.P. Wigner, Gruppentheorie und ihre Anwendungen auf Atomspektren (Vieweg, Braunschweig, 1931);
    • (1931)
    • Wigner, E.P.1
  • 6
    • 4243932676 scopus 로고
    • PHTOAD 0031-9228 10.1063/1.881480
    • D.J. Gross, Phys. Today 48, No. 12, 46 (1995). PHTOAD 0031-9228 10.1063/1.881480
    • (1995) Phys. Today , vol.48 , Issue.12 , pp. 46
    • Gross, D.J.1
  • 7
    • 0039624459 scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.40.4277
    • R.F. Werner, Phys. Rev. A 40, 4277 (1989). PLRAAN 1050-2947 10.1103/PhysRevA.40.4277
    • (1989) Phys. Rev. A , vol.40 , pp. 4277
    • Werner, R.F.1
  • 8
    • 18344383219 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.63.042111
    • T. Eggeling and R.F. Werner, Phys. Rev. A 63, 042111 (2001). PLRAAN 1050-2947 10.1103/PhysRevA.63.042111
    • (2001) Phys. Rev. A , vol.63 , pp. 042111
    • Eggeling, T.1    Werner, R.F.2
  • 9
    • 18144442709 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.85.2625
    • B.M. Terhal and K.G.H. Vollbrecht, Phys. Rev. Lett. 85, 2625 (2000); PRLTAO 0031-9007 10.1103/PhysRevLett.85.2625
    • (2000) Phys. Rev. Lett. , vol.85 , pp. 2625
    • Terhal, B.M.1    Vollbrecht, K.G.H.2
  • 10
    • 0035679286 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.64.062307
    • K.G.H. Vollbrecht and R.F. Werner, Phys. Rev. A 64, 062307 (2001). PLRAAN 1050-2947 10.1103/PhysRevA.64.062307
    • (2001) Phys. Rev. A , vol.64 , pp. 062307
    • Vollbrecht, K.G.H.1    Werner, R.F.2
  • 11
    • 0037574296 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.77.1413
    • A. Peres, Phys. Rev. Lett. 77, 1413 (1996); PRLTAO 0031-9007 10.1103/PhysRevLett.77.1413
    • (1996) Phys. Rev. Lett. , vol.77 , pp. 1413
    • Peres, A.1
  • 12
    • 0042376719 scopus 로고    scopus 로고
    • PYLAAG 0375-9601 10.1016/S0375-9601(96)00706-2
    • M. Horodecki, Phys. Lett. A 223, 1 (1996). PYLAAG 0375-9601 10.1016/S0375-9601(96)00706-2
    • (1996) Phys. Lett. A , vol.223 , pp. 1
    • Horodecki, M.1
  • 13
    • 0008001217 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.80.5239
    • M. Horodecki, Phys. Rev. Lett. 80, 5239 (1998); PRLTAO 0031-9007 10.1103/PhysRevLett.80.5239
    • (1998) Phys. Rev. Lett. , vol.80 , pp. 5239
    • Horodecki, M.1
  • 14
    • 0042542909 scopus 로고    scopus 로고
    • PYLAAG 0375-9601 10.1016/S0375-9601(97)00416-7
    • P. Horodecki, Phys. Lett. A 232, 333 (1997); PYLAAG 0375-9601 10.1016/S0375-9601(97)00416-7
    • (1997) Phys. Lett. A , vol.232 , pp. 333
    • Horodecki, P.1
  • 15
    • 33846692056 scopus 로고    scopus 로고
    • for a review see edited by D. Bruß and Wiley-VCH, Berlin, G. Leuchs
    • for a review see P. Horodecki, in Lectures on Quantum-Information, edited by, D. Bruß, and, G. Leuchs, (Wiley-VCH, Berlin, 2006).
    • (2006) Lectures on Quantum-Information
    • Horodecki, P.1
  • 16
    • 18144391224 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.94.160502
    • K. Horodecki, Phys. Rev. Lett. 94, 160502 (2005); PRLTAO 0031-9007 10.1103/PhysRevLett.94.160502
    • (2005) Phys. Rev. Lett. , vol.94 , pp. 160502
    • Horodecki, K.1
  • 17
    • 2142643721 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.92.107903
    • A. Acín, Phys. Rev. Lett. 92, 107903 (2004); PRLTAO 0031-9007 10.1103/PhysRevLett.92.107903
    • (2004) Phys. Rev. Lett. , vol.92 , pp. 107903
    • Acín, A.1
  • 18
    • 37249084000 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.99.250405
    • G. Tóth, Phys. Rev. Lett. 99, 250405 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.99.250405
    • (2007) Phys. Rev. Lett. , vol.99 , pp. 250405
    • Tóth, G.1
  • 19
    • 25444516025 scopus 로고    scopus 로고
    • 1570-0755 10.1007/s11128-005-5664-1
    • O. Rudolph, Quant. Info. Proc. 1570-0755 4, 219 (2005). 10.1007/s11128-005-5664-1
    • (2005) Quant. Info. Proc. , vol.4 , pp. 219
    • Rudolph, O.1
  • 21
    • 34848900128 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.99.130504
    • O. Gühne, Phys. Rev. Lett. 99, 130504 (2007); PRLTAO 0031-9007 10.1103/PhysRevLett.99.130504
    • (2007) Phys. Rev. Lett. , vol.99 , pp. 130504
    • Gühne, O.1
  • 22
    • 56249099347 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.78.052319
    • O. Gittsovich, Phys. Rev. A 78, 052319 (2008). PLRAAN 1050-2947 10.1103/PhysRevA.78.052319
    • (2008) Phys. Rev. A , vol.78 , pp. 052319
    • Gittsovich, O.1
  • 23
    • 46349105331 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.77.060301
    • C.-J. Zhang, Phys. Rev. A 77, 060301(R) (2008). PLRAAN 1050-2947 10.1103/PhysRevA.77.060301
    • (2008) Phys. Rev. A , vol.77
    • Zhang, C.-J.1
  • 26
    • 33747779703 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.97.080501
    • H.-P. Breuer, Phys. Rev. Lett. 97, 080501 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.97.080501
    • (2006) Phys. Rev. Lett. , vol.97 , pp. 080501
    • Breuer, H.-P.1
  • 27
    • 33947132540 scopus 로고    scopus 로고
    • PYLAAG 0375-9601 10.1016/j.physleta.2006.11.073
    • A.R. Usha Devi, Phys. Lett. A 364, 203 (2007); PYLAAG 0375-9601 10.1016/j.physleta.2006.11.073
    • (2007) Phys. Lett. A , vol.364 , pp. 203
    • Usha Devi, A.R.1
  • 28
    • 33846884220 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.98.060501
    • A.R. Usha Devi Phys. Rev. Lett. 98, 060501 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.98.060501
    • (2007) Phys. Rev. Lett. , vol.98 , pp. 060501
    • Usha Devi, A.R.1
  • 29
    • 0037055131 scopus 로고    scopus 로고
    • APNYA6 0003-4916 10.1006/aphy.2002.6268
    • K. Eckert, Ann. Phys. (N.Y.) APNYA6 0003-4916 299, 88 (2002). 10.1006/aphy.2002.6268
    • (2002) Ann. Phys. (N.Y.) , vol.299 , pp. 88
    • Eckert, K.1
  • 30
    • 0141461557 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.68.012101
    • X. Wang and B.C. Sanders, Phys. Rev. A 68, 012101 (2003). PLRAAN 1050-2947 10.1103/PhysRevA.68.012101
    • (2003) Phys. Rev. A , vol.68 , pp. 012101
    • Wang, X.1    Sanders, B.C.2
  • 31
    • 0037626046 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.67.024301
    • Y. Shi, Phys. Rev. A 67, 024301 (2003); PLRAAN 1050-2947 10.1103/PhysRevA.67.024301
    • (2003) Phys. Rev. A , vol.67 , pp. 024301
    • Shi, Y.1
  • 32
  • 33
    • 0242442484 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.68.034307
    • H.F. Hofmann, Phys. Rev. A 68, 034307 (2003). PLRAAN 1050-2947 10.1103/PhysRevA.68.034307
    • (2003) Phys. Rev. A , vol.68 , pp. 034307
    • Hofmann, H.F.1
  • 35
    • 33947202751 scopus 로고    scopus 로고
    • JPHAC5 0305-4470 10.1088/0305-4470/39/45/001
    • M. Fannes and C. Vandenplas, J. Phys. A JPHAC5 0305-4470 39, 13843 (2006). 10.1088/0305-4470/39/45/001
    • (2006) J. Phys. A , vol.39 , pp. 13843
    • Fannes, M.1    Vandenplas, C.2
  • 36
    • 28844487354 scopus 로고    scopus 로고
    • η defined in Eq. 1 is a submatrix of the expectation value matrix used in PRLTAO 0031-9007 10.1103/PhysRevLett.95.230502
    • η defined in Eq. 1 is a submatrix of the expectation value matrix used in E. Shchukin and W. Vogel, Phys. Rev. Lett. 95, 230502 (2005); PRLTAO 0031-9007 10.1103/PhysRevLett.95.230502
    • (2005) Phys. Rev. Lett. , vol.95 , pp. 230502
    • Shchukin, E.1    Vogel, W.2
  • 37
    • 67650288842 scopus 로고    scopus 로고
    • arXiv:quant-ph/0605001;
    • A. Miranowicz, arXiv:quant-ph/0605001;
    • Miranowicz, A.1
  • 38
    • 48249143606 scopus 로고    scopus 로고
    • JPHAC5 0305-4470 10.1088/1751-8113/41/27/275302
    • T. Moroder, M. Keyl, and N. Lütkenhaus, J. Phys. A JPHAC5 0305-4470 41, 275302 (2008). 10.1088/1751-8113/41/27/275302
    • (2008) J. Phys. A , vol.41 , pp. 275302
    • Moroder, T.1    Keyl, M.2    Lütkenhaus, N.3
  • 39
    • 33745855522 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.74.010301
    • O. Gühne, Phys. Rev. A 74, 010301(R) (2006). PLRAAN 1050-2947 10.1103/PhysRevA.74.010301
    • (2006) Phys. Rev. A , vol.74
    • Gühne, O.1
  • 40
    • 67650279677 scopus 로고    scopus 로고
    • Ph.D. Thesis, Technical University of Braunschweig
    • M.M. Wolf, Ph.D. Thesis, Technical University of Braunschweig, 2003.
    • (2003)
    • Wolf, M.M.1
  • 41
    • 0037124748 scopus 로고    scopus 로고
    • For other examples of invariant bound entangled states, see PRLTAO 0031-9007 10.1103/PhysRevLett.88.247901
    • For other examples of invariant bound entangled states, see K.G.H. Vollbrecht and M.M. Wolf, Phys. Rev. Lett. 88, 247901 (2002); PRLTAO 0031-9007 10.1103/PhysRevLett.88.247901
    • (2002) Phys. Rev. Lett. , vol.88 , pp. 247901
    • Vollbrecht, K.G.H.1    Wolf, M.M.2
  • 42
    • 67650319859 scopus 로고    scopus 로고
    • Ph.D thesis, University of Hannover
    • P. Hyllus, Ph.D thesis, University of Hannover, 2005.
    • (2005)
    • Hyllus, P.1
  • 43
    • 56049097653 scopus 로고    scopus 로고
    • A symmetric pure state that is separable with respect to a bipartition, must be a tensor product of single qubit states. For mixed states, the statement follows from the fact that each state in a convex decomposition of a symmetric state has to be symmetric, too. This was used in proofs in Ref.. For the pure state case see PLRAAN 1050-2947 10.1103/PhysRevA.78.052105
    • A symmetric pure state that is separable with respect to a bipartition, must be a tensor product of single qubit states. For mixed states, the statement follows from the fact that each state in a convex decomposition of a symmetric state has to be symmetric, too. This was used in proofs in Ref.. For the pure state case see T. Ichikawa, Phys. Rev. A 78, 052105 (2008). PLRAAN 1050-2947 10.1103/PhysRevA.78.052105
    • (2008) Phys. Rev. A , vol.78 , pp. 052105
    • Ichikawa, T.1
  • 44
    • 0035823453 scopus 로고    scopus 로고
    • JPHAC5 0305-4470 10.1088/0305-4470/34/35/335
    • K. Zyczkowski and H.-J. Sommers, J. Phys. A JPHAC5 0305-4470 34, 7111 (2001). 10.1088/0305-4470/34/35/335
    • (2001) J. Phys. A , vol.34 , pp. 7111
    • Zyczkowski, K.1    Sommers, H.-J.2
  • 46
    • 3943078830 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.87.040401
    • A. Acín, Phys. Rev. Lett. 87, 040401 (2001). PRLTAO 0031-9007 10.1103/PhysRevLett.87.040401
    • (2001) Phys. Rev. Lett. , vol.87 , pp. 040401
    • Acín, A.1
  • 47
    • 0033441642 scopus 로고    scopus 로고
    • FNDPA4 0015-9018 10.1023/A:1018816310000
    • A. Peres, Found. Phys. 29, 589 (1999). FNDPA4 0015-9018 10.1023/A:1018816310000
    • (1999) Found. Phys. , vol.29 , pp. 589
    • Peres, A.1
  • 48
    • 33749248219 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.74.030306
    • G. Tóth and A. Acín, Phys. Rev. A 74, 030306(R) (2006). PLRAAN 1050-2947 10.1103/PhysRevA.74.030306
    • (2006) Phys. Rev. A , vol.74
    • Tóth, G.1    Acín, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.