Tetrapartite entanglement measures of W-class in noninertial frames

doi:10.1088/1674-1056/28/7/070301

中国物理B ›› 2019, Vol. 28 ›› Issue (7): 70301-070301.doi: 10.1088/1674-1056/28/7/070301

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 下一篇

Tetrapartite entanglement measures of W-class in noninertial frames

Ariadna J. Torres-Arenas, Edgar O. López-Zúñiga, J. Antonio Saldaña-Herrera, Qian Dong, Guo-Hua Sun, Shi-Hai Dong

1 Laboratorio de Información Cuántica, CIDETEC, Instituto Politécnico Nacional, UPALM, CDMX 07700, Mexico;
2 Facultad de Ciencias Físico Matemáticas, Universidad Autónoma de Nuevo León, San Nicolás de los Garza NL, 66450, Mexico;
3 Catedrática CONACyT, Centro de Investigación en Computación, Instituto Politécnico Nacional, UPALM, CDMX 07738, Mexico

收稿日期:2019-03-27 修回日期:2019-04-17 出版日期:2019-07-05 发布日期:2019-07-05
通讯作者: Shi-Hai Dong E-mail:dongsh2@yahoo.com
基金资助:
Project partially supported by the CONACYT, Mexico under the Grant No. 288856-CB-2016, partially by 20190234-SIP-IPN, Mexico, and partially by the program XXVIII Verano de la Investigación Científica 2018 supported by the Academia Mexicana de Ciencias.

Tetrapartite entanglement measures of W-class in noninertial frames

Ariadna J. Torres-Arenas¹, Edgar O. López-Zúñiga^1,2, J. Antonio Saldaña-Herrera^1,2, Qian Dong¹, Guo-Hua Sun³, Shi-Hai Dong¹

1 Laboratorio de Información Cuántica, CIDETEC, Instituto Politécnico Nacional, UPALM, CDMX 07700, Mexico;
2 Facultad de Ciencias Físico Matemáticas, Universidad Autónoma de Nuevo León, San Nicolás de los Garza NL, 66450, Mexico;
3 Catedrática CONACyT, Centro de Investigación en Computación, Instituto Politécnico Nacional, UPALM, CDMX 07738, Mexico

Received:2019-03-27 Revised:2019-04-17 Online:2019-07-05 Published:2019-07-05
Contact: Shi-Hai Dong E-mail:dongsh2@yahoo.com
Supported by:
Project partially supported by the CONACYT, Mexico under the Grant No. 288856-CB-2016, partially by 20190234-SIP-IPN, Mexico, and partially by the program XXVIII Verano de la Investigación Científica 2018 supported by the Academia Mexicana de Ciencias.

摘要/Abstract

摘要：

We present the entanglement measures of a tetrapartite W-class entangled system in a noninertial frame, where the transformation between Minkowski and Rindler coordinates is applied. Two cases are considered. First, when one qubit has uniform acceleration whilst the other three remain stationary. Second, when two qubits have nonuniform accelerations and the others stay inertial. The 1-1 tangle, 1-3 tangle, and whole entanglement measurements π₄ and Π₄, are studied and illustrated with graphics through their dependence on the acceleration parameter r_d for the first case and r_c and r_d for the second case. It is found that the negativities (1-1 tangle and 1-3 tangle) and π-tangle decrease when the acceleration parameter r_d or in the second case r_c and r_d increase, remaining a nonzero entanglement in the majority of the results. This means that the system will be always entangled except for special cases. It is shown that only the 1-1 tangle for the first case vanishes at infinite accelerations, but for the second case the 1-1 tangle disappears completely when r>0.472473. An analytical expression for the von Neumann information entropy of the system is found and we note that it increases with the acceleration parameter.

关键词: W-class, tetrapartite entanglement, Dirac field, noninertial frames, nonuniform acceleration

Abstract:

Key words: W-class, tetrapartite entanglement, Dirac field, noninertial frames, nonuniform acceleration

中图分类号: (Quantum information)

03.67.-a

03.67.Mn (Entanglement measures, witnesses, and other characterizations) 03.65.Ud (Entanglement and quantum nonlocality) 04.70.Dy (Quantum aspects of black holes, evaporation, thermodynamics)

Ariadna J. Torres-Arenas, Edgar O. López-Zúñiga, J. Antonio Saldaña-Herrera, Qian Dong, Guo-Hua Sun, Shi-Hai Dong. Tetrapartite entanglement measures of W-class in noninertial frames[J]. 中国物理B, 2019, 28(7): 70301-070301.

参考文献 31

[1]	Bennett C H, Brassard G, Crépeau C, Jozsa R, Peres A and Wootters W K 1993 Phys. Rev. Lett. 70 1895 doi: 10.1103/PhysRevLett.70.1895
[2]	Bennett C H, Bernstein E, Brassard G and Vazirani U 1997 SIAM Journal on Computing 26 1510 doi: 10.1137/S0097539796300933
[3]	Bouwmeester D, Ekert A and Zeilinger A 2000 The Physics of Quantum Information (Berlin: Springer-Verlag)
[4]	Peres A and Terno D R 2004 Rev. Mod. Phys. 76 93 doi: 10.1103/RevModPhys.76.93
[5]	Fuentes-Schuller I and Mann R B 2005 Phys. Rev. Lett. 95 120404 doi: 10.1103/PhysRevLett.95.120404
[6]	Hwang M R, Park D and Jung E 2011 Phys. Rev. A 83 012111 doi: 10.1103/PhysRevA.83.012111
[7]	Li Y, Liu C, Wang Q, Zhang H and Hu L 2016 Optik 127 9788 doi: 10.1016/j.ijleo.2016.07.069
[8]	Alsing P M, Fuentes-Schuller I, Mann R B and Tessier T E 2006 Phys. Rev. A 74 032326 doi: 10.1103/PhysRevA.74.032326
[9]	Smith A and Mann R B 2012 Phys. Rev. A 86 012306 doi: 10.1103/PhysRevA.86.012306
[10]	Shi X 2017 Chin. Phys. B 26 120303 doi: 10.1088/1674-1056/26/12/120303
[11]	Geetha P J, Yashodamma K O and Sudha 2015 Chin. Phys. B 24 110302 doi: 10.1088/1674-1056/24/11/110302
[12]	Li J J and Wang Z X 2010 Chin. Phys. B 19 100310 doi: 10.1088/1674-1056/19/10/100310
[13]	Feng L J, Zhang Y J, Zhang L and Xia Y J 2015 Chin. Phys. B 24 110305 doi: 10.1088/1674-1056/24/11/110305
[14]	Yao Y, Xiao X, Ge L, Wang X G and Sun C P 2014 Phys. Rev. A 89 042336 doi: 10.1103/PhysRevA.89.042336
[15]	Khan S 2014 Ann. Phys. 348 270 doi: 10.1016/j.aop.2014.05.022
[16]	Khan S, Khan N A and Khan M K 2014 Commu. Theor. Phys. 61 281 doi: 10.1088/0253-6102/61/3/02
[17]	Bruschi D E, Dragan A, Fuentes I and Louko J 2012 Phys. Rev. D 86 025026 doi: 10.1103/PhysRevD.86.025026
[18]	Martín-Martínez E and Fuentes I 2011 Phys. Rev. A 83 052306 doi: 10.1103/PhysRevA.83.052306
[19]	Takagi S 1986 Progress of Theoretical Physics Supplement 88 1 doi: 10.1143/PTPS.88.1
[20]	Martín-Martínez E, Garay L J and León J 2010 Phys. Rev. D. 82 064006 doi: 10.1103/PhysRevD.82.064006
[21]	Verstraete F, Dehaene J, De Moor B and Verschelde H 2002 Phys. Rev. A. 65 052112 doi: 10.1103/PhysRevA.65.052112
[22]	Dür W, Vidal G and Cirac J I 2000 Phys. Rev. A 62 062314 doi: 10.1103/PhysRevA.62.062314
[23]	Wang J and Jing J 2011 Phys. Rev. A. 83 022314 doi: 10.1103/PhysRevA.83.022314
[24]	Socolovsky M 2013 Rindler Space and Unruh Effect, arXiv:1304.2833v2 [gr-qc]
[25]	Nakahara M, Wan Y and Sasaki Y 2013 Diversities in Quantum Computation and Quantum Information (Singapore: World Scientific)
[26]	Oliveira D S and Ramos R V 2010 Quantum Information Processing 9 497 doi: 10.1007/s11128-009-0154-5
[27]	Sabín C and García-Alcaine G 2008 Euro. Phys. J. D 48 435 doi: 10.1140/epjd/e2008-00112-5
[28]	Popescu S and Rohrlich D 1997 Phys. Rev. A 56 R3319
[29]	von Neumann J 1996 Mathematical Foundations of Quantum Mechanics (New Jersey: Princeton University Press)
[30]	Vedral V, Plenio M B, Rippin M A and Knight P L 1997 Phys. Rev. Lett. 78 2275 doi: 10.1103/PhysRevLett.78.2275
[31]	Bengtsson I and Życzkowski K 2006 Geometry of Quantum States: An Introduction to Quantum Entanglement (New York: Cambridge University Press)

Tetrapartite entanglement measures of W-class in noninertial frames

Tetrapartite entanglement measures of W-class in noninertial frames

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 31

相关文章 6

Metrics

本文评价

推荐阅读 0

[1]	Qian Dong(董茜), R. Santana Carrillo, Guo-Hua Sun(孙国华), and Shi-Hai Dong(董世海). Tetrapartite entanglement measures of generalized GHZ state in the noninertial frames[J]. 中国物理B, 2022, 31(3): 30303-030303.
[2]	吴奇成, 文晶姬, 计新, Yeon Kyu-Hwang. Teleportation of three-dimensional single particle state in noninertial frames[J]. 中国物理B, 2014, 23(2): 20303-020303.
[3]	石甲栋, 吴韬, 宋学科, 叶柳. Dynamics of entanglement under decoherence in noninertial frames[J]. 中国物理B, 2014, 23(2): 20310-020310.
[4]	梅锋, 於亚飞, 张智明. Deterministic quantum teleportation and information splitting via a peculiar W-class state[J]. 中国物理B, 2010, 19(2): 20308-020308.
[5]	贺喜, 荆继良. Late-time evolution of massive Dirac fields in the Kerr background[J]. 中国物理B, 2006, 15(12): 2850-2855.
[6]	李固强. Divergence structure of the statistical entropy of the Dirac field in a plane symmetry black hole geometry[J]. 中国物理B, 2005, 14(3): 468-471.