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In view of the fact that one- and two-mode combination squeezed vacuum states may exhibit stronger squeezing in a certain range, we introduce one- and two-mode combination squeezed thermal states (OTCSTS) and investigate the property of entanglement in detail. Using the remarkable property of Weyl ordering, i.e., the order-invariance of Weyl ordered operator under similar transformations, we conveniently derive the analytical expression of entanglement degree-logarithmic negativity, and then present the condition of keeping entanglement for these squeezed thermal states. It is found that the OTCSTS possesses higher entanglement than the usual two-mode squeezed thermal states for any non-zero squeezing parameter. As an application, the quantum teleportation for coherent state is considered by using the OTCSTS as an entangled channel. It is shown that the teleportation fidelity can only be enhanced within a certain range of parameters, which is just the same as the condition of exhibiting stronger squeezing in one quadrature. In addition, the condition of realizing effective quantum teleportation (>1/2) is obtained analytically.
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Keywords:
- one- and two-mode combination squeezed thermal states /
- Wigner function /
- entanglement /
- quantum teleportation
[1] L J F, Ma S J 2011 Acta Phys. Sin. 60 080301 (in Chinese) [吕菁芬, 马善钧 2011 物理学报 60 080301]
[2] Kenfack A, Życzkowski K 2004 J. Opt. B: Quantum Semiclass. Opt. 6 396
[3] Bouwmeester D, Ekert A, Zeilinger A 2000 The Physics of Quantum Information (Berlin: Springer)
[4] Nielsen M A, Chuang I L 2000 Quantum Computation and Quantum Information (Cambridge: Cambridge University Press)
[5] Liang Y, Wu Q C, Ji X 2014 Acta Phys. Sin. 63 020301 (in Chinese) [梁艳, 吴奇成, 计新 2014 物理学报 63 020301]
[6] Wu Q, Zhang Z M 2013 Acta Phys. Sin. 62 174206 (in Chinese) [吴琴, 张智明 2013 物理学报 62 174206]
[7] Wu Q, Zhang Z M 2014 Chin. Phys. B 23 034203
[8] Liu P, Feng X M, Jin R G 2014 Chin. Phys. B 23 030310
[9] Fan H Y 1990 Phys. Rev. A 41 1526
[10] Fan H Y 2003 J. Opt. B: Quantum Semiclass. Opt. 5 R147
[11] Hu L Y, Fan H Y 2009 Phys. Rev. A 80 022115
[12] Hu L Y, Xu X X, Guo Q, Fan H Y 2010 Opt. Commun. 283 5074
[13] Fan H Y 2012 Representation and Transformation Theory in Quantum Mechanics (Hefei: University of Science and Technology of China Press) (in Chinese) [范洪义 2012 量子力学纠缠态表象与变换 (合肥: 中国科技大学出版社出版)]
[14] Fan H Y, Hu L Y 2010 Investigation on Quantum Decoherence for Open Systems by Using Entangled State Representation Method (Shanghai: Shanghai Jiaotong University Press) p110 (in Chinese) [范洪义, 胡利云 2010 开放系统量子退相干的纠缠态表象论 (上海: 上海交通大学出版社出版) 第110 页]
[15] Hu L Y, Jia F, Zhang Z M 2012 J. Opt. Soc. Am. B 29 1456
[16] Vidal G, Werner R F 2002 Phys. Rev. A 65 032314
[17] Eisert J, Plemio M B 1999 J. Mod. Opt. 46 145
[18] Duan L M, Giedke G, Cirac J O, Zoller P 2000 Phys. Rev. Lett. 84 2722
[19] Simon R 2000 Phys. Rev. Lett. 84 2726
[20] Song T Q 2004 Acta Phys. Sin. 53 3358 (in Chinese) [宋同强 2004 物理学报 53 3358]
[21] Marian P, Marian T A 2006 Phys. Rev. A 74 042306
[22] Braunstein S L, Kimble H J 1998 Phys. Rev. Lett. 80 869
[23] Hu L Y, Zhang Z M 2013 J. Opt. Soc. Am. B 30 518
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[1] L J F, Ma S J 2011 Acta Phys. Sin. 60 080301 (in Chinese) [吕菁芬, 马善钧 2011 物理学报 60 080301]
[2] Kenfack A, Życzkowski K 2004 J. Opt. B: Quantum Semiclass. Opt. 6 396
[3] Bouwmeester D, Ekert A, Zeilinger A 2000 The Physics of Quantum Information (Berlin: Springer)
[4] Nielsen M A, Chuang I L 2000 Quantum Computation and Quantum Information (Cambridge: Cambridge University Press)
[5] Liang Y, Wu Q C, Ji X 2014 Acta Phys. Sin. 63 020301 (in Chinese) [梁艳, 吴奇成, 计新 2014 物理学报 63 020301]
[6] Wu Q, Zhang Z M 2013 Acta Phys. Sin. 62 174206 (in Chinese) [吴琴, 张智明 2013 物理学报 62 174206]
[7] Wu Q, Zhang Z M 2014 Chin. Phys. B 23 034203
[8] Liu P, Feng X M, Jin R G 2014 Chin. Phys. B 23 030310
[9] Fan H Y 1990 Phys. Rev. A 41 1526
[10] Fan H Y 2003 J. Opt. B: Quantum Semiclass. Opt. 5 R147
[11] Hu L Y, Fan H Y 2009 Phys. Rev. A 80 022115
[12] Hu L Y, Xu X X, Guo Q, Fan H Y 2010 Opt. Commun. 283 5074
[13] Fan H Y 2012 Representation and Transformation Theory in Quantum Mechanics (Hefei: University of Science and Technology of China Press) (in Chinese) [范洪义 2012 量子力学纠缠态表象与变换 (合肥: 中国科技大学出版社出版)]
[14] Fan H Y, Hu L Y 2010 Investigation on Quantum Decoherence for Open Systems by Using Entangled State Representation Method (Shanghai: Shanghai Jiaotong University Press) p110 (in Chinese) [范洪义, 胡利云 2010 开放系统量子退相干的纠缠态表象论 (上海: 上海交通大学出版社出版) 第110 页]
[15] Hu L Y, Jia F, Zhang Z M 2012 J. Opt. Soc. Am. B 29 1456
[16] Vidal G, Werner R F 2002 Phys. Rev. A 65 032314
[17] Eisert J, Plemio M B 1999 J. Mod. Opt. 46 145
[18] Duan L M, Giedke G, Cirac J O, Zoller P 2000 Phys. Rev. Lett. 84 2722
[19] Simon R 2000 Phys. Rev. Lett. 84 2726
[20] Song T Q 2004 Acta Phys. Sin. 53 3358 (in Chinese) [宋同强 2004 物理学报 53 3358]
[21] Marian P, Marian T A 2006 Phys. Rev. A 74 042306
[22] Braunstein S L, Kimble H J 1998 Phys. Rev. Lett. 80 869
[23] Hu L Y, Zhang Z M 2013 J. Opt. Soc. Am. B 30 518
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