Robustness of Genuine Tripartite Entanglement under Collective Dephasing
MAZHAR Ali**
Department of Electrical Engineering, Faculty of Engineering, Islamic University in Madinah, Madinah 107, Kingdom of Saudi Arabia
Abstract ：We study the robustness of genuine multipartite entanglement for a system of three qubits under collective dephasing. Using a computable entanglement monotone for multipartite systems, we find that almost every state is quite robust under this type of decoherence. We analyze random states and weighted graph states at infinity and find all of them to be genuinely entangled.
收稿日期: 2015-03-18
出版日期: 2015-06-30
:
03.65.Yz
(Decoherence; open systems; quantum statistical methods)
03.65.Ud
(Entanglement and quantum nonlocality)
03.67.Mn
(Entanglement measures, witnesses, and other characterizations)
[1] Horodecki R, Horodecki P, Horodecki M and Horodecki K 2009 Rev. Mod. Phys. 81 865 2009 Phys. Rep. 474 1 2015 Rep. Prog. Phys. 78 042001 2002 Phys. Rev. B 66 193306 2003 Phys. Rev. B 68 165322 2004 Phys. Rev. Lett. 93 140404 2007 Science 316 555 2004 Phys. Rev. Lett. 92 180403 2005 Phys. Rev. A 71 032350 2008 Phys. Rev. Lett. 100 080501 2002 Phys. Rev. A 65 052327 2009 Phys. Rev. A 79 022108 2009 Phys. Rev. Lett. 103 030502 2005 Phys. Rev. A 72 042339 2010 Phys. Rev. A 82 052308 2010 Phys. Rev. A 82 032317 2004 Phys. Rev. Lett. 93 230501 2007 Phys. Rev. A 75 062324 2008 Phys. Rev. A 78 060301(R) 2008 Phys. Rev. Lett. 101 080503 2008 Europhys. Lett. 82 40002 2009 J. Phys. B: At. Mol. Opt. Phys. 42 025501 2010 J. Phys. B: At. Mol. Opt. Phys. 43 045504 2010 Phys. Rev. A 81 042303 2014 Chin. Phys. B 23 090306 Chin. Phys. Lett. 31 1103012010 J. Phys. A: Math. Gen. 43 055305 2010 J. Phys. B: At. Mol. Opt. Phys. 43 115503 2012 Phys. Rev. A 85 032324 2012 Phys. Rev. A 85 012303 2013 Phys. Rev. A 88 062328 2014 Phys. Rev. A 89 022301 2014 Phys. Rev. A 89 034301 2014 J. Phys. B: At. Mol. Opt. Phys. 47 055503 2014 Phys. Lett. A 378 2048 2014 Phys. Rev. A 90 042330 2014 Open Syst. Inf. Dyn. 21 1450008 2011 Phys. Rev. Lett. 106 190502 2013 Phys. Rev. A 88 012305 2014 J. Phys. A: Math. Theor. 47 155301 2008 Int. J. Quantum Inf. 6 681 1996 Phys. Rev. Lett. 77 1413 1996 SIAM Rev. 38 49 YALMIP: A Toolbox for Modeling and Optimization in MATLAB. Proceedings of the CACSD Conference (Taipei 4 September 2004)2002 Phys. Rev. A 65 032314 2011 Phys. Rev. A 84 032310 1999 Phys. Rev. A 59 141 2009 Phys. Rev. A 79 022108 2011 Phys. Rev. Lett. 107 090501 2010 New J. Phys. 12 053002
[1]
.
[2]
.
[3]
.
[4]
.
[5]
.
[6]
.
[7]
.
[8]
.
[9]
.
[10]
.
[11]
.
[12]
.
[13]
.
[14]
.
[15]
.
2015, Vol. 32 
