Canonical Form, and Separability of PPT States in C^2×C^2×C^2×C^N Composite Quantum Systems
摘要
We give a canonical form of PPT states in C2(×)C2(×)C2(×)CN with rank = N. From this canonical form a sufficient separability condition for these states is presented.
参考文献27
-
1DP DiVincenzo, Science 270 (1995) 255.
-
2CH Bennett, et al, Phys Rev Lett 70 (1993) 1895;S Albeverio and SM Fei, Phys Lett A276 (2000) 8;GM D'Ariano, et al, ibid A272 (2000) 32; S Albeverio, SM Fei, and WL Yang, Commun Theor Phys(Beijing, China) 38 (2002) 301; Phys Rev A66 (2002)012301.
-
3CH Bennett, et al, Phys Rev Lett 69 (1992) 2881.
-
4A Ekert, Phys Rev Lett 67 (1991) 661; D Deutsch, et al, ibid 77 (1996) 2818; CA Fuchs, et al, Phys Rev A56 (1997) 1163.
-
5V Vedral, et al, Phys Rev Lett 78 (1997) 2275; VVedral and M Plenio, Phys Rev A57 (1998) 1619; VVedrM, et al, Phys Rev A56 (1997) 4452.
-
6CH Bennett, HJ Bernstein, S Popescu, and B Schumacher, Phys Rev A53 (1996) 2046.
-
7A Peres, Phys Rev Lett 76 (i996) 1413; K Zyczkowski and P Horodecki, Phys Rev A58 (1998) 883.
-
8B Schumacher emd IYiD Westmoreland, "Quantum Computation and In formaiton, Washngton, DC (2000), pp265-289.
-
9CH Bennett, DP DiVincenzo, J Smolin, and W K Wootters, Phys Rev A54 (1996) 3824.
-
10S Hill and WK Wootters, Phys Rev Lett 78 (1997)5022; WK Wootters, ibid 80 (1998) 2245.
-
1赵海利,侯晋川.一对置换构造的4阶矩阵正线性映射[J].中北大学学报（自然科学版）,2013,34(5):563-566.
-
2杨延玲.原子和光模场间量子纠缠探讨[J].枣庄学院学报,2009,26(5):8-12.
-
3肖衡.ON THE DECOMPOSITION OF COMPLEX VECTOR SPACES AND THE JORDAN CANONICAL FORM OF COMPLEX LINEAR TRANSFORMATIONS[J].Applied Mathematics and Mechanics(English Edition),1994,15(11):997-1003.
-
4WANGXiao-Hong,FEIShao-Ming,WANGZhi-Xi,WUKe.On PPT States in C^K ○×C^M ○×C^N Composite Quantum Systems[J].Communications in Theoretical Physics,2004,42(2X):215-222.
-
5张力,王成,孙昌璞.量子微腔中三能级原子的准绝热动力学过程的研究[J].中国科学（A辑）,1996,26(6):543-549. 被引量：1
-
6刘荣万,陈立群.Lie symmetries and invariants of constrained Hamiltonian systems[J].Chinese Physics B,2004,13(10):1615-1619. 被引量：1
-
7任文秀,阿拉坦仓.An algorithm and its application for obtaining some kind of infinite-dimensional Hamiltonian canonical formulation[J].Chinese Physics B,2007,16(11):3154-3160. 被引量：6
-
8王银珠,刘喜波.无限维多体复合量子系统态的约化判据[J].数学的实践与认识,2014,44(14):296-301. 被引量：1
-
9Zhang Jinchuan(Dept.of Math.,Quanzhou Normal college,Quanzhou,Fujian,362000).GH-CONGRUENCE CANONICAL FORM OF QUATERNION MATRIX AND SIMULTANEOUS DIAGONALIZATION OF MATRICES[J].Numerical Mathematics A Journal of Chinese Universities(English Series),2000,9(S1):122-128. 被引量：1
-
10高国成.EXPLICIT CRITERIA OF ABSOLUTE STABILITY FOR THE REAL SECOND CANONICAL FORM OF CONTROL SYSTEM[J].Applied Mathematics and Mechanics(English Edition),1993,14(5):469-479.
