Statistical properties of coherent photon-subtracted two-mode squeezed vacuum and its application in quantum teleportation

doi:10.1088/1674-1056/23/5/050301

Abstract We introduce a kind of non-Gaussian entangled state, which can be obtained by operating a non-local coherent photon-subtraction operation on a two-mode squeezed vacuum. It is found that its normalization factor is only related to the Legendre polynomials, which is a compact expression. Its statistical properties are discussed by the negative region Wigner function with the analytical expression. As an application, the quantum teleportation for coherent states is considered by using the non-Gaussian state as an entangled channel. It is found that the teleportation fidelity can be enhanced by this non-Gaussian operation.

Keywords: coherent photon subtraction two-mode squeezed vacuum quantum teleportation fidelity

Received: 23 October 2013
Revised: 13 November 2013
Accepted manuscript online:

PACS:	03.65.-a
	42.50.Dv	(Quantum state engineering and measurements)
	03.65.Wj	(State reconstruction, quantum tomography)
	03.67.Mn	(Entanglement measures, witnesses, and other characterizations)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11264018) and the Natural Science Foundation of Jiangxi Province, China (Grant No. 20132BAB212006).

Corresponding Authors: Hu Li-Yun
E-mail: hlyun2008@126.com

About author: 03.65.-a; 42.50.Dv; 03.65.Wj; 03.67.Mn

Cite this article:

Zhang Guo-Ping (张国平), Zheng Kai-Min (郑凯敏), Liu Shi-You (刘世右), Hu Li-Yun (胡利云) Statistical properties of coherent photon-subtracted two-mode squeezed vacuum and its application in quantum teleportation 2014 Chin. Phys. B 23 050301

[1]	Bouwmeester D, Ekert A and Zeilinger A 2000 The Physics of Quantum Information (Berlin: Springer-Verlag)
[2]	Parigi V, Zavatta A, Kim M and Bellini M 2007 Science 317 1890
[3]	Ourjoumtsev A, Dantan A, Tualle-Brouri R and Grangier Ph 2007 Phys. Rev. Lett. 98 030502
[4]	Browne D E, Eisert J, Scheel S and Plenio M B 2003 Phys. Rev. A 67 062320
[5]	Hu L Y, Fan H Y and Zhang Z M 2013 Chin. Phys. B 22 034202
[6]	Hu L Y and Zhang Z M 2012 J. Opt. Soc. Am. B 29 529
[7]	Ourjoumtsev A, Dantan A, Tualle-Brouri R and Grangier Ph 2007 Phys. Rev. Lett. 98 030502
[8]	Fiurasek J 2002 Phys. Rev. A 65 053818
[9]	Kok P, Lee H and Dowling J P 2002 Phys. Rev. A 65 052104
[10]	Lee S Y and Nha H 2012 Phys. Rev. A 85 043816
[11]	Agarwal G S, Puri R R and Singh R P 1997 Phys. Rev. A 56 4207
[12]	Xu L J, Tan G B, Ma S J and Guo Q 2013 Chin. Phys. B 22 030311
[13]	Liu G, Wu M S and Hu L Y 2012 Chin. Phys. B 21 114205
[14]	Hu L Y and Zhang Z M 2013 J. Opt. Soc. Am. B 30 518
[15]	Eisert J, Scheel S and Plenio M B 2002 Phys. Rev. Lett. 89 137903
[16]	Lee S Y, Ji S W, Kim H J and Nha H 2011 Phys. Rev. A 84 012302
[17]	Ourjoumtsev A, Dantan A, Tualle-Brouri R and Grangier Ph 2007 Phys. Rev. Lett. 98 030502
[18]	Yang Y and Fan H Y 2013 Chin. Phys. B 22 030306
[19]	Hu L Y and Fan H Y 2008 J. Opt. Soc. Am. B 25 1955
[20]	Fan H Y and Zaidi H R 1987 Phys. Lett. A 124 303
[21]	Hu L Y, Xu X X, Wang Z S and Xu X F 2010 Phys. Rev. A 82 043842
[22]	Braunstein S L and Kimble H J 1998 Phys. Rev. Lett. 80 869
[23]	Marian P and Marian T A 2006 Phys. Rev. A 74 042306
[24]	Hu L Y, Jia F and Zhang Z M 2012 J. Opt. Soc. Am. B 29 1456

[1]	Engineering topological state transfer in four-period Su-Schrieffer-Heeger chain Xi-Xi Bao(包茜茜), Gang-Feng Guo(郭刚峰), and Lei Tan(谭磊). Chin. Phys. B, 2023, 32(2): 020301.
[2]	Probabilistic quantum teleportation of shared quantum secret Hengji Li(李恒吉), Jian Li(李剑), and Xiubo Chen(陈秀波). Chin. Phys. B, 2022, 31(9): 090303.
[3]	Universal order-parameter and quantum phase transition for two-dimensional q-state quantum Potts model Yan-Wei Dai(代艳伟), Sheng-Hao Li(李生好), and Xi-Hao Chen(陈西浩). Chin. Phys. B, 2022, 31(7): 070502.
[4]	Experimental realization of quantum controlled teleportation of arbitrary two-qubit state via a five-qubit entangled state Xiao-Fang Liu(刘晓芳), Dong-Fen Li(李冬芬), Yun-Dan Zheng(郑云丹), Xiao-Long Yang(杨小龙), Jie Zhou(周杰), Yu-Qiao Tan(谭玉乔), and Ming-Zhe Liu(刘明哲). Chin. Phys. B, 2022, 31(5): 050301.
[5]	Alternative non-Gaussianity measures for quantum states based on quantum fidelity Cheng Xiang(向成), Shan-Shan Li(李珊珊), Sha-Sha Wen(文莎莎), and Shao-Hua Xiang(向少华). Chin. Phys. B, 2022, 31(3): 030306.
[6]	Passively stabilized single-photon interferometer Hai-Long Liu(刘海龙), Min-Jie Wang(王敏杰), Jia-Xin Bao(暴佳鑫), Chao Liu(刘超), Ya Li(李雅), Shu-Jing Li(李淑静), and Hai Wang(王海). Chin. Phys. B, 2022, 31(11): 110306.
[7]	Controlled quantum teleportation of an unknown single-qutrit state in noisy channels with memory Shexiang Jiang(蒋社想), Bao Zhao(赵宝), and Xingzhu Liang(梁兴柱). Chin. Phys. B, 2021, 30(6): 060303.
[8]	Realization of adiabatic and diabatic CZ gates in superconducting qubits coupled with a tunable coupler Huikai Xu(徐晖凯), Weiyang Liu(刘伟洋), Zhiyuan Li(李志远), Jiaxiu Han(韩佳秀), Jingning Zhang(张静宁), Kehuan Linghu(令狐克寰), Yongchao Li(李永超), Mo Chen(陈墨), Zhen Yang(杨真), Junhua Wang(王骏华), Teng Ma(马腾), Guangming Xue(薛光明), Yirong Jin(金贻荣), and Haifeng Yu(于海峰). Chin. Phys. B, 2021, 30(4): 044212.
[9]	Average fidelity estimation of twirled noisy quantum channel using unitary 2t-design Linxi Zhang(张林曦), Changhua Zhu(朱畅华), Changxing Pei(裴昌幸). Chin. Phys. B, 2019, 28(1): 010304.
[10]	Estimation of photon counting statistics with imperfect detectors Xiao-Chuan Han(韩晓川), Dong-Wei Zhuang(庄东炜), Yu-Xuan Li(李雨轩), Jun-Feng Song(宋俊峰), Yong-Sheng Zhang(张永生). Chin. Phys. B, 2018, 27(7): 074208.
[11]	Arbitrated quantum signature scheme with continuous-variable squeezed vacuum states Yan-Yan Feng(冯艳艳), Rong-Hua Shi(施荣华), Ying Guo(郭迎). Chin. Phys. B, 2018, 27(2): 020302.
[12]	Identifying the closeness of eigenstates in quantum many-body systems Hai-bin Li(李海彬), Yang Yang(杨扬), Pei Wang(王沛), Xiao-guang Wang(王晓光). Chin. Phys. B, 2017, 26(8): 080502.
[13]	Bidirectional multi-qubit quantum teleportation in noisy channel aided with weak measurement Guang Yang(杨光), Bao-Wang Lian(廉保旺), Min Nie(聂敏), Jiao Jin(金娇). Chin. Phys. B, 2017, 26(4): 040305.
[14]	An intermediate state of T7 RNA polymerase provides another pathway of nucleotide selection Zhan-Feng Wang(王展峰), Yu-Ru Liu(刘玉如), Peng-Ye Wang(王鹏业), Ping Xie(谢平). Chin. Phys. B, 2017, 26(10): 100203.
[15]	Fidelity between Gaussian mixed states with quantum state quadrature variances Hai-Long Zhang(张海龙), Chun Zhou(周淳), Jian-Hong Shi(史建红), Wan-Su Bao(鲍皖苏). Chin. Phys. B, 2016, 25(4): 040304.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

Statistical properties of coherent photon-subtracted two-mode squeezed vacuum and its application in quantum teleportation

Cite this article:

Online attention