Please wait a minute...
Chin. Phys. B, 2010, Vol. 19(11): 110307    DOI: 10.1088/1674-1056/19/11/110307
GENERAL Prev   Next  

Relative entropy of entanglement of two-qubit 'X' states

Huang Jie-Hui(黄接辉)†ger, Liu Nian-Hua(刘念华), Liu Jiang-Tao(刘江涛), Yu Tian-Bao(于天宝), and He Xian(何弦)
Department of Physics, Nanchang University, Nanchang 330031, China
Abstract  Two closest single-qubit states could be diagonalised by the same unitary matrix, which helps to find the relative entropy of entanglement of a two-qubit 'X' state. We formulate two binary equations for the relative entropy of entanglement and the corresponding closest separable state of a given two-qubit 'X' state. This approach can be applied to get the relative entropy of entanglement of many widely-discussed two-qubit states, such as pure states, Werner states, and so on.
Keywords:  relative entropy of entanglement      two-qubit state  
Received:  24 March 2010      Revised:  03 June 2010      Accepted manuscript online: 
PACS:  03.65.Fd (Algebraic methods)  
  03.65.Ud (Entanglement and quantum nonlocality)  
  03.67.Lx (Quantum computation architectures and implementations)  
  03.67.Mn (Entanglement measures, witnesses, and other characterizations)  
  05.70.Ce (Thermodynamic functions and equations of state)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 10804042), and also supported by the Scientific Research Foundation of the Education Department of Jiangxi Province, China (Project No. GJJ09440).

Cite this article: 

Huang Jie-Hui(黄接辉), Liu Nian-Hua(刘念华), Liu Jiang-Tao(刘江涛), Yu Tian-Bao(于天宝), and He Xian(何弦) Relative entropy of entanglement of two-qubit 'X' states 2010 Chin. Phys. B 19 110307

[1] Bennett C H, DiVincenzo D P, Smolin J and Wootters W K 1996 Phys. Rev. A 54 3824
[2] Bennett C H, Brassard G, Popescu S, Schumacher B, Smolin J A and Wootters W K 1996 Phys. Rev. Lett. 76 722
[3] Vedral V, Plenio M B, Rippin M A and Knight P L 1997 Phys. Rev. Lett. 78 2275
[4] Vedral V and Plenio M B 1998 Phys. Rev. A 57 1619
[5] Wootters W K 1998 Phys. Rev. Lett. 80 2245
[6] Vidal G and Werner R F 2002 Phys. Rev. A 65 032314
[7] Christandl M and Winter A 2004 J. Math. Phys. 45 829
[8] Uhlmann A 2000 Phys. Rev. A 62 032307
[9] Rungta P, Buvzek V, Caves C M, Hillery M and Milburn G J 2001 Phys. Rev. A 64 042315
[10] Coffman V, Kundu J and Wootters W K 2000 Phys. Rev. A 61 052306
[11] Qin M 2010 Acta Phys. Sin. 59 2212 (in Chinese)
[11] Ma P C and Zhan Y B 2008 Chin. Phys. B 17 445
[12] Verstraete F, Audenaert K and De Moor B 2001 Phys. Rev. A 64 012316
[13] Verstraete F, Audenaert K M R, Dehaene J and De Moor B 2001 J. Phys. A 34 10327
[14] Verstraete F, Dehaene J and De Moor B 2002 J. Mod. Opt. 49 1277
[15] Audenaert K M R, De Moor B, Vollbrecht K G H and Werner R F 2002 Phys. Rev. A 66 032310
[16] Chen X Y, Meng L M, Jiang L Z and Li X J 2005 Chin. Phys. Lett. 22 2755
[17] Rehacek J, Hradil Z and Jezek M 2001 Phys. Rev. A 63 040303
[18] Rehacek J and hradil Z 2003 Phys. Rev. Lett. 90 127904
[19] Ishizaka S 2002 J. Phys. A 35 8075
[20] Ishizaka S 2003 Phys. Rev. A 67 060301(R)
[21] Ishizaka S 2004 Phys. Rev. A 69 020301(R)
[22] Miranowicz A and Ishizaka S 2008 Phys. Rev. A 78 032310
[23] Peres A 1996 Phys. Rev. Lett. 77 1413
[24] Horodecki M, Horodecki P and Horodecki R 1996 Phys. Lett. A 223 1
[25] Werner R F 1989 Phys. Rev. A 40 4277
[26] Vollbrecht K G H and Werner R F 2002 Phys. Rev. A 64 062307 endfootnotesize
[1] Geometric global quantum discord of two-qubit states
Yunlong Xiao(肖运龙), Tao Li(李陶), Shao-Ming Fei(费少明), Naihuan Jing(景乃桓), Zhi-Xi Wang(王志玺), Xianqing Li-Jost(李先清). Chin. Phys. B, 2016, 25(3): 030301.
[2] Deterministic joint remote state preparation of arbitrary single- and two-qubit states
Chen Na (陈娜), Quan Dong-Xiao (权东晓), Xu Fu-Fang (徐馥芳), Yang Hong (杨宏), Pei Chang-Xing (裴昌幸). Chin. Phys. B, 2015, 24(10): 100307.
[3] Simple experimental scheme of teleporting a two-qubit state via linear optical elements
Yuan Hong-Chun(袁洪春), Li Heng-Mei(李恒梅), and Qi Kai-Guo(齐开国). Chin. Phys. B, 2006, 15(8): 1686-1689.
No Suggested Reading articles found!