摘要The decoherence effect on multipartite entanglement in non-inertial frames is investigated. The GHZ state is considered to be shared between partners with one partner in the inertial frame whereas the other two are in accelerated frames. One-tangle and π−tangles are used to quantify the entanglement of the multipartite system influenced by phase damping and phase flip channels. It is seen that for the phase damping channel, entanglement sudden death (ESD) occurs for p>0.5 in the infinite acceleration limit. On the other hand, in the case of the phase flip channel, ESD behavior occurs at p=0.5. It is also seen that entanglement sudden birth (ESB) occurs in the case of phase flip channel just after ESD, i.e. p>0.5. Furthermore, it is seen that the effect of the environment on multipartite entanglement is much stronger than that of the acceleration of non-inertial frames.
Abstract：The decoherence effect on multipartite entanglement in non-inertial frames is investigated. The GHZ state is considered to be shared between partners with one partner in the inertial frame whereas the other two are in accelerated frames. One-tangle and π−tangles are used to quantify the entanglement of the multipartite system influenced by phase damping and phase flip channels. It is seen that for the phase damping channel, entanglement sudden death (ESD) occurs for p>0.5 in the infinite acceleration limit. On the other hand, in the case of the phase flip channel, ESD behavior occurs at p=0.5. It is also seen that entanglement sudden birth (ESB) occurs in the case of phase flip channel just after ESD, i.e. p>0.5. Furthermore, it is seen that the effect of the environment on multipartite entanglement is much stronger than that of the acceleration of non-inertial frames.
M. Ramzan. Decoherence and Multipartite Entanglement of Non-Inertial Observers[J]. 中国物理快报, 2012, 29(2): 20302-020302.
M. Ramzan. Decoherence and Multipartite Entanglement of Non-Inertial Observers. Chin. Phys. Lett., 2012, 29(2): 20302-020302.
[1] Peres A and Terno D R 2004 Rev. Mod. Phys. 76 93
[2] Boschi D et al 1998 Phys. Rev. Lett. 80 1121
[3] Bouwmeester D 2000 The Physics of Quantum Information (Berlin: Springer)
[4] Preskill J 1998 Proc. Roy. Soc. London A 454 385
[5] Yonac M et al 2006 J. Phys. B : At. Mol. Opt. Phys. 39 S621
[6] Jakobczyk L and Jamroz A 2004 Phys. Lett. A 333 35
[7] Ann K and Jaeger G 2007 Phys. Rev. A 76 044101
[8] Jaeger G and Ann K 2007 J. Mod. Opt. 54 2327
[9] Yu T and Eberly J H 2003 Phys. Rev. B 68 165322
[10] Yu T and Eberly J H 2007 Phys. Rev. Lett. 97 140403
[11] Augusiak R and Horodecki P 2009 Phys. Rev. A 80 042307
[12] Ramzan M and Khan M K 2008 Chin. Phys. Lett. 25 3543
[13] Bennett C H et al 1993 Phys. Rev. Lett. 70 1895
[14] Bell J S 1987 Speakable and Unspeakable in Quantum Mechanics (Combridge: Combridge University)
[15] Kofler J and Brukner C 2007 Phys. Rev. Lett. 99 180403
[16] Alsing P M and Milburn G J 2003 Phys. Rev. Lett. 91 180404
[17] Fuentes Schuller I and Mann R B 2005 Phys. Rev. Lett. 95 120404
[18] Alsing P M et al 2006 Phys. Rev. A 74 032326
[19] Ralph T C et al 2009 Phys. Rev. A 79 022121
[20] Doukas J and Hollenberg L C L 2009 Phys. Rev. A 79 052109
[21] Moradi S 2009 Phys. Rev. A 79 064301
[22] Martn Martnez E and Len J 2009 Phys. Rev. A 80 042318
[23] Wang J et al 2010 Phys. Rev. A 81 052120
[24] Pan Q and Jing J 2008 Phys. Rev. A 77 024302
[25] Wang J et al 2010 Phys. Lett. B 692 202
[26] Montero M and Martin Martinez E 2011 J. High Energy Phys. 2011 6
[27] David E 2010 Phys. Rev. A 82 042332
[28] Wang J and Jing J 2010 Phys. Rev. A 82 032324
[29] Wang J and Jing J 2011 Phys. Rev. A 83 022314
[30] Hwang M R et al 2010 Phys. Rev. A 83 012111
[31] Zhang W and Jing J Preprint quant ph/1103.4903
[32] Ramzan M and Khan M K 2011 Quant. Inf. Process. (to be published)
[33] Aspachs M et al 2010 Phys. Rev. Lett. 105 151301
[34] Martn Martnez E et al 2010 Phys. Rev. D 82 064006
[35] Vidal G and Werner R F 2002 Phys. Rev. A 65 032314
[36] Nielson M A and Chuang I L 2000 Quantum Computation and Quantum Information (Cambridge: Cambridge University)
[37] Karlsson A and Bourennane M 1998 Phys. Rev. A 58 4394
2012, Vol. 29 
