Boundary states for entanglement robustness under dephasing and bit flip channels

doi:10.1088/1674-1056/ab3e67

中国物理B ›› 2019, Vol. 28 ›› Issue (10): 100302-100302.doi: 10.1088/1674-1056/ab3e67

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇下一篇

Boundary states for entanglement robustness under dephasing and bit flip channels

Hong-Mei Li(李红梅), Miao-Di Guo(郭苗迪), Rui Zhang(张锐), Xue-Mei Su(苏雪梅)

College of Physics, Jilin University, Changchun 130012, China

收稿日期:2019-05-16 修回日期:2019-08-13 出版日期:2019-10-05 发布日期:2019-10-05
通讯作者: Xue-Mei Su E-mail:suxm@jlu.edu.cn
基金资助:
Project supported by the National Key Research and Development Program of China (Grant No. 2016YFE0200700) and the National Natural Science Foundation of China (Grant Nos. 61627820 and 61934003).

Boundary states for entanglement robustness under dephasing and bit flip channels

Hong-Mei Li(李红梅), Miao-Di Guo(郭苗迪), Rui Zhang(张锐), Xue-Mei Su(苏雪梅)

College of Physics, Jilin University, Changchun 130012, China

Received:2019-05-16 Revised:2019-08-13 Online:2019-10-05 Published:2019-10-05
Contact: Xue-Mei Su E-mail:suxm@jlu.edu.cn
Supported by:
Project supported by the National Key Research and Development Program of China (Grant No. 2016YFE0200700) and the National Natural Science Foundation of China (Grant Nos. 61627820 and 61934003).

摘要/Abstract

摘要：

We investigate the robustness of entanglement for a multiqubit system under dephasing and bit flip channels. We exhibit the difference between the entanglement evolution of the two forms of special states, which are locally unitarily equivalent to each other and therefore possess precisely the same entanglement properties, and demonstrate that the difference increases with the number of qubits n. Moreover, those two forms of states are either the most robust genuine entangled states or the most fragile ones, which confirm that local unitary (LU) operations can greatly enhance the entanglement robustness of n-qubit states.

关键词: entanglement, decoherence, robustness, local unitary equivalence

Abstract:

Key words: entanglement, decoherence, robustness, local unitary equivalence

中图分类号: (Decoherence; open systems; quantum statistical methods)

03.65.Yz

03.65.Ta (Foundations of quantum mechanics; measurement theory) 03.65.Ud (Entanglement and quantum nonlocality)

李红梅, 郭苗迪, 张锐, 苏雪梅. Boundary states for entanglement robustness under dephasing and bit flip channels[J]. 中国物理B, 2019, 28(10): 100302-100302.

Hong-Mei Li(李红梅), Miao-Di Guo(郭苗迪), Rui Zhang(张锐), Xue-Mei Su(苏雪梅). Boundary states for entanglement robustness under dephasing and bit flip channels[J]. Chin. Phys. B, 2019, 28(10): 100302-100302.

参考文献 36

[31]	Kraus K 1983 States, Effect, and Operation: Fundamental Notions in Quantum Theory (Berlin: Springer-Verlag)
[32]	Życzkowski K, Horodecki P, Sanpera A and Lewenstein M 1998 Phys. Rev. A 58 883 doi: 10.1103/PhysRevA.58.883
[1]	Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge: Cambridge University Press)
[33]	Peres A 1996 Phys. Rev. Lett. 77 1413 doi: 10.1103/PhysRevLett.77.1413
[2]	Horodecki R, Horodecki P, Horodecki M and Horodecki K 2009 Rev. Mod. Phys. 81 865 doi: 10.1103/RevModPhys.81.865
[34]	Vidal G and Werner R F 2002 Phys. Rev. A 65 032314 doi: 10.1103/PhysRevA.65.032314
[3]	Bennett C H and Divincenzo D P 2000 Nature 404 247 doi: 10.1038/35005001
[35]	Lee S, Chi D P, Oh S D and Kim J 2003 Phys. Rev. A 68 062304 doi: 10.1103/PhysRevA.68.062304
[36]	Życzkowski K and Kuś M 1994 J. Phys. A: Math. Gen. 27 4235 doi: 10.1088/0305-4470/27/12/028
[4]	Raussendorf R and Briegel H J 2001 Phys. Rev. Lett. 86 5188 doi: 10.1103/PhysRevLett.86.5188
[5]	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
[6]	Hu M L 2012 Ann. Phys. 327 2332 doi: 10.1016/j.aop.2012.05.007
[7]	Ekert A K 1991 Phys. Rev. Lett. 67 661 doi: 10.1103/PhysRevLett.67.661
[8]	Bennett C H, Brassard G and Mermin N D 1992 Phys. Rev. Lett. 68 557 doi: 10.1103/PhysRevLett.68.557
[9]	Deng F G and Long G L 2003 Phys. Rev. A 68 042315 doi: 10.1103/PhysRevA.68.042315
[10]	Sheng Y B and Zhou L 2017 Sci. Bull. 62 1025 doi: 10.1016/j.scib.2017.06.007
[11]	Aolita L, Melo F de and Davidovich L 2015 Rep. Prog. Phys. 78 042001 doi: 10.1088/0034-4885/78/4/042001
[12]	Wang D, Shi W N, Hoehn Ross D, Ming F, Sun W Y, Kais S and Ye L 2018 Ann. Phys. 530 1800080 doi: 10.1002/andp.201800080
[13]	Chen M N, Wang D and Ye L 2019 Phys. Lett. A 383 977 doi: 10.1016/j.physleta.2018.12.025
[14]	Yu T and Eberly J H 2004 Phys. Rev. Lett. 93 140404 doi: 10.1103/PhysRevLett.93.140404
[15]	Yu T and Eberly J H 2009 Science 323 598 doi: 10.1126/science.1167343
[16]	Roszak K, Horodecki P and Horodecki R 2010 Phys. Rev. A 81 042308 doi: 10.1103/PhysRevA.81.042308
[17]	Almeida M P, de Melo F, Meyll H M, Salles A, Walborn S P, Ribeiro P H S and Davidovich L 2007 Science 316 579 doi: 10.1126/science.1139892
[18]	Yönaç M, Yu T and Eberly J H 2006 J. Phys. B: At. Mol. Opt. Phys. 39 S621
[19]	Yönaç M, Yu T and Eberly J H 2007 J. Phys. B: At. Mol. Opt. Phys. 40 S45
[20]	Kim K I, Zhao B K and S Li H M 2014 Commun. Theor. Phys. 62 667 doi: 10.1088/0253-6102/62/5/06
[21]	Li H M and Su X M 2019 Eur. Phys. J. D 73 56 doi: 10.1140/epjd/e2019-90586-1
[22]	Gühne O, Bodoky F and Blaauboer M 2008 Phys. Rev. A 78 060301 doi: 10.1103/PhysRevA.78.060301
[23]	Borras A, Majtey A P, Plastino A R, Casas M and Plastino A 2009 Phys. Rev. A 79 022108 doi: 10.1103/PhysRevA.79.022108
[24]	Ali M and Gühne O 2014 J. Phys. B: At. Mol. Opt. Phys. 47 055503 doi: 10.1088/0953-4075/47/5/055503
[25]	Zhao B K and S Deng F G 2010 Phys. Rev. A 82 014301 doi: 10.1103/PhysRevA.82.014301
[26]	Zhang F L, Jiang Y and Liang M L 2013 Ann. Phys. 333 136 doi: 10.1016/j.aop.2013.03.003
[27]	Li H M and S Zhao B K 2018 Ann. Phys. 530 1800053 doi: 10.1002/andp.201800053
[28]	Man Z X, Xia Y J and An N B 2008 Phys. Rev. A 78 064301 doi: 10.1103/PhysRevA.78.064301
[29]	Aolita L, Chaves R, Cavalcanti D, Acin A and S Davidovich L 2008 Phys. Rev. Lett. 100 080501 doi: 10.1103/PhysRevLett.100.080501
[30]	Salles A, de Melo F, Almeida M P, Hor-Meyll M, Walborn S P, Souto Ribeiro P H and S Davidovich L 2008 Phys. Rev. A 78 022322 doi: 10.1103/PhysRevA.78.022322
[31]	Kraus K 1983 States, Effect, and Operation: Fundamental Notions in Quantum Theory (Berlin: Springer-Verlag)
[32]	Życzkowski K, Horodecki P, Sanpera A and Lewenstein M 1998 Phys. Rev. A 58 883 doi: 10.1103/PhysRevA.58.883
[33]	Peres A 1996 Phys. Rev. Lett. 77 1413 doi: 10.1103/PhysRevLett.77.1413
[34]	Vidal G and Werner R F 2002 Phys. Rev. A 65 032314 doi: 10.1103/PhysRevA.65.032314
[35]	Lee S, Chi D P, Oh S D and Kim J 2003 Phys. Rev. A 68 062304 doi: 10.1103/PhysRevA.68.062304
[36]	Życzkowski K and Kuś M 1994 J. Phys. A: Math. Gen. 27 4235 doi: 10.1088/0305-4470/27/12/028

Boundary states for entanglement robustness under dephasing and bit flip channels

Boundary states for entanglement robustness under dephasing and bit flip channels

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