Partial Hermitian Conjugate Separability Criteria for Pure Quantum States
ZHAO Xin1, WU Hua1, LI Yan-Song1, LONG Gui-Lu 1,2
1Key Laboratory for Atomic and Molecular NanoSciences and Department of Physics, Tsinghua University, Beijing 1000842National Laboratory for Information Science and Technology, Tsinghua University, Beijing 100084
Partial Hermitian Conjugate Separability Criteria for Pure Quantum States
ZHAO Xin1, WU Hua1, LI Yan-Song1, LONG Gui-Lu 1,2
1Key Laboratory for Atomic and Molecular NanoSciences and Department of Physics, Tsinghua University, Beijing 1000842National Laboratory for Information Science and Technology, Tsinghua University, Beijing 100084
摘要We propose a criterion for the separability of quantum pure states using the concept of a partial Hermitian conjugate. It is equivalent to the usual positive partial transposition criteria, with a simple physical interpretation.
Abstract:We propose a criterion for the separability of quantum pure states using the concept of a partial Hermitian conjugate. It is equivalent to the usual positive partial transposition criteria, with a simple physical interpretation.
[1] Peres A 1993 Quantum Theory: Concepts and Methods(Dordrecht: Kluwer Academic) [2] Ekert A and Knight P L 1995 J. Am. Phys. 63415 [3] Bell J S 1966 Rev. Mod. Phys. 38 447 [4] Werner R F 1989 Phys. Rev. A 40 4277 [5] Peres A 1996 Phys. Rev. Lett. 77 1413 [6] Zyczkowski K and Horodecki P 1998 Phys. Rev. A 58 883 [7] Horodecki M, Horodecki P and Horodecki R 1996 Phys.Lett. A 223 1 [8] Horodecki M and Horodecki P 1999 Phys. Rev. A 59 4206 [9] Cerf N, Adami C and Gingrich R M 1999 Phys. Rev. A 60 893 [10] Albeverio S, Chen K and Fei S M 2003 Phys. Rev. A 68 062313 [11] Nielsen M A and Kempe 2001 J. Phys. Rev. Lett. 86 5184 [12] Rudolph O 2005 Quant. Inf. Proc. 4 219 [13] Chen K and Wu L A 2003 Quant. Inf. Comput. 3193 [14] Chen K and Wu L A 2002 Phys. Lett. A 306 14 [15] Horodecki R et al 2007 quant-ph/0702225 [16] Albeverio S, Fei S M and Goswami D 2001 Phys. Lett.A 286 91 [17] Ye M Y, Zhang Y S and Guo G C 2008 Sci. Chin. G 51 14 [18] Cao W C et al 2006 Sci. Chin. G 49 606 [19] Di Y M and Li L 2007 Sci. Chin. G 50 691 [20] Pan F, Liu G Y and Draayer J P 2006 Int. J. Mod.Phys. B 20 1333 [21] Zhou L, Song H S and Li C 2002 J. Opt. B: QuantumSemiclass. Opt. 4 425 [22] Ou Y C and Fan H 2007 Phys. Rev. A 76 022320 [23] Plenio M B and Virmani S 2007 Quant. Inf. Comp. 7 1 [24] Wang X H et al 2008 Front. Comput. Sci. Chin. 2 114 [25] Zhang Y S 2008 Chin. Phys. Lett. 25 3146 [26] Zou J H and Hu X M 2008 Chin. Phys. Lett. 253142 [27] Sun H Y, Huang X L and Yi X X 2009 Chin. Phys.Lett. 26 020305 [28] Wei D X et al 2004 Chin. Sci. Bull. 49 423 [29] Man Z X, Su F and Xia Y J 2008 Chin. Sci. Bull. 53 2410 [30] Ding S C and Jin Z 2007 Chin. Sci. Bull. 522161 [31] Riesz F and SzNagy B 1955 Functional Analysis (NewYork: Ungar)