All Pure Two-Qudit Entangled States Generated via a Universal Yang--Baxter Matrix Assisted by Local Unitary Transformations
CHEN Jing-Ling1, XUE Kang2, GE Mo-Lin1
1Liuhui Center for Applied Mathematics and Theoretical Physics Division, Chern Institute of Mathematics, Nankai University, Tianjin 3000712Department of Physics, Northeast Normal University, Changchun, Jilin 130024
All Pure Two-Qudit Entangled States Generated via a Universal Yang--Baxter Matrix Assisted by Local Unitary Transformations
CHEN Jing-Ling1, XUE Kang2, GE Mo-Lin1
1Liuhui Center for Applied Mathematics and Theoretical Physics Division, Chern Institute of Mathematics, Nankai University, Tianjin 3000712Department of Physics, Northeast Normal University, Changchun, Jilin 130024
摘要We show that all pure entangled states of two d-dimensional quantum systems (i.e., two qudits) can be generated from an initial separable state via a universal Yang-Baxter matrix if one is assisted by local unitary transformations.
Abstract:We show that all pure entangled states of two d-dimensional quantum systems (i.e., two qudits) can be generated from an initial separable state via a universal Yang-Baxter matrix if one is assisted by local unitary transformations.
(Entanglement measures, witnesses, and other characterizations)
引用本文:
CHEN Jing-Ling;XUE Kang;GE Mo-Lin. All Pure Two-Qudit Entangled States Generated via a Universal Yang--Baxter Matrix Assisted by Local Unitary Transformations[J]. 中国物理快报, 2009, 26(8): 80306-080306.
CHEN Jing-Ling, XUE Kang, GE Mo-Lin. All Pure Two-Qudit Entangled States Generated via a Universal Yang--Baxter Matrix Assisted by Local Unitary Transformations. Chin. Phys. Lett., 2009, 26(8): 80306-080306.
[1] Nielsen M A and Chuang I L 2000 Quantum Computationand Quantum Information (Cambridge: Cambridge University) [2] Raussendorf R and Briegel H J 2001 Phys. Rev. Lett. 86 5188 [3] Ekert A K 1991 Phys. Rev. Lett. 67 661 [4] Bennett C H and Wiesner S J 1992 Phys. Rev. Lett. 69 2881 [5] Bennett C H, Brassard G, Cr{\'epeau C, Jozsa R, Peres A,and Wootters W K 1993 Phys. Rev. Lett. 70 1895 [6] Prevedel R, Walther P, Tiefenbacher F, B\"{ohi P,Kaltenbaek R, Jennewein T and Zeilinger A 2007 Nature 445 65 [7] Barreiro J T, Langford N K, Peters N A and Kwiat P G 2005 Phys. Rev. Lett. 95 260501 [8] Yang C N 1967 Phys. Rev. Lett. 19 1312 [9] Baxter R J 1982 Exactly Solved Models in StatisticalMechanics (London: Academic) [10] Kitaev A Y 2003 Ann. Phys. 303 2 [11] Freedman M H, Kitaev A and Wang Z 2002 Commun. Math.Phys. 227 587 [12] Kauffman L H and Lomonaco S J 2004 New J. Phys. 6 134 [13] Chen J L, Xue K and Ge M L 2007 Phys. Rev. A 76 042324 [14] Hu S W, Xue K and Ge M L 2008 Phys. Rev. A 78022319 [15] Albeverio S and Fei S M 2001 J. Opt. B 3 223 [16] Wootters W K 1998 Phys. Rev. Lett. 80 2245 [17] Zanardi P, Zalka C and Faoro L 2000 Phys. Rev. A 62 030301 [18] Abreu R F and Vallejos R O 2006 Phys. Rev. A 73 052327