A nearly deterministic scheme for generation of multiphoton GHZ states with weak cross-Kerr nonlinearity

doi:10.1088/1674-1056/20/10/100313

中国物理B ›› 2011, Vol. 20 ›› Issue (10): 100313-100313.doi: 10.1088/1674-1056/20/10/100313

A nearly deterministic scheme for generation of multiphoton GHZ states with weak cross-Kerr nonlinearity

叶柳¹, 方保龙¹, 王奕²

(1)School of Physics and Material Science, Anhui University, Hefei 230039, China; (2)School of Physics and Material Science, Anhui University, Hefei 230039, China; Teaching and Research Section of Physics, School of Life Sciences, Anhui Medical University, Hefei 230032, China

收稿日期:2011-04-19 修回日期:2011-06-09 出版日期:2011-10-15 发布日期:2011-10-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11074002), the Doctoral Foundation of the Ministry of Education of China (Grant No. 20103401110003), and the Personal Development Foundation of Anhui Province of China (Grant No. 2008Z018).

A nearly deterministic scheme for generation of multiphoton GHZ states with weak cross-Kerr nonlinearity

Wang Yi(王奕)^a)b)†, Ye Liu(叶柳)^a)‡, and Fang Bao-Long(方保龙)^a)

^a School of Physics and Material Science, Anhui University, Hefei 230039, China; ^b Teaching and Research Section of Physics, School of Life Sciences, Anhui Medical University, Hefei 230032, China

Received:2011-04-19 Revised:2011-06-09 Online:2011-10-15 Published:2011-10-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11074002), the Doctoral Foundation of the Ministry of Education of China (Grant No. 20103401110003), and the Personal Development Foundation of Anhui Province of China (Grant No. 2008Z018).

摘要/Abstract

摘要： We propose a scheme to generate polarization-entangled multiphoton Greenberger-Horne-Zeilinger (GHZ) states based on weak cross-Kerr nonlinearity and subsequent homodyne measurement. It can also be generalized to produce maximally N-qubit entangled states. The success probabilities of our schemes are almost equal to 1.

关键词: GHZ state, cross-Kerr nonlinearity, quantum entanglement

Abstract: We propose a scheme to generate polarization-entangled multiphoton Greenberger-Horne-Zeilinger (GHZ) states based on weak cross-Kerr nonlinearity and subsequent homodyne measurement. It can also be generalized to produce maximally N-qubit entangled states. The success probabilities of our schemes are almost equal to 1.

Key words: GHZ state, cross-Kerr nonlinearity, quantum entanglement

中图分类号: (Entanglement measures, witnesses, and other characterizations)

03.67.Mn

03.65.Ud (Entanglement and quantum nonlocality) 42.50.Dv (Quantum state engineering and measurements)

王奕, 叶柳, 方保龙. A nearly deterministic scheme for generation of multiphoton GHZ states with weak cross-Kerr nonlinearity[J]. 中国物理B, 2011, 20(10): 100313-100313.

Wang Yi(王奕), Ye Liu(叶柳), and Fang Bao-Long(方保龙) . A nearly deterministic scheme for generation of multiphoton GHZ states with weak cross-Kerr nonlinearity[J]. Chin. Phys. B, 2011, 20(10): 100313-100313.

参考文献 30

[1]	Bell J S 1965 Physics 1 195
[2]	Greenberger D M, Horne M A and Zeilinger A 1989 in Bell's Theorem, Quantum Theory, and Conceptions of the Universe ed. Kafatos M (Dordrecht: Kluwer)
[3]	Greenberger D M, Horne M A, Shimony A and Zeilinger A 1990 J. Phys. 58 1131
[4]	Nielsen M A and Chuang I L 2000 Quantum Computation and Quantum Information (Cambridge: Cambridge University Press)
[5]	Pan J W, Simon C, Brukner C and Zeilinger A 2001 Nature (London) 410 1067
[6]	Horodecki M, Oppenheim J and Winter A 2005 Nature (London) 436 673
[7]	Hillery M, Buzek V and Berthiaume A 1999 Phys. Rev. A 59 1829
[8]	Rauschenbeutel A, Nogues G, Osnaghi S, Bertet P, Brune M, Raimond J M and Haroche S 2000 Science 288 2024
[9]	Zhao Z, Chen Y A, Zhang A N, Yang T, Briegel H and Pan J W 2004 Nature (London) 430 54
[10]	Leibfried D D, Knill E, Seidelin S, Britton J, Blakestad R B, Chiaverini J, Hume D B, Itano W M, Jost J D, Langer C, Ozeri R, Reichle R and Wineland D J 2005 Nature (London) 438 639
[11]	Sackett C A, Kielpinski D, King B E, Langer C, Meyer V, Myatt C J, Rowe M, Turchette Q A, Itano W M, Wineland D J and Monroe C 2000 Nature (London) 404 256
[12]	Leibfried D, Barrett M D, Schaetz T, Britton J, Chiaverini J, Itano W M, Jost J D, Langer C and Wineland D J 2004 Science 304 1476
[13]	Christian F R, Mark R, Hartmut H, Wolfgang H, Jan B, Gavin P T L, Christoph B, Ferdinand S K and Rainer B 2004 Science 304 1478
[14]	For recent reviews about optical QIP, see, e.g., Ralph T C 2006 Rep. Prog. Phys. 69 853
[15]	DellAnno F, de Siena S and Illuminati F 2006 Phys. Rep. 428 53
[16]	Kok P, Munro W J, Nemoto K, Ralph T C, Dowling J P and Milburn G J 2007 Rev. Mod. Phys. 79 135
[17]	Myers C R and Laflamme R arXiv: quant-ph/0512104
[18]	Bouwmeester D, Pan J W, Daniell M, Weinfurter H and Zeilinger A 1999 Phys. Rev. Lett. 82 1345
[19]	Pan J W, Bouwmeester D, Daniell M, Weinfurter H and Zeilinger A 2000 Nature (London) 403 515
[20]	Pan J W, Daniell M, Gasparoni S, Weihs G and Zeilinger A 2001 Phys. Rev. Lett. 86 4435
[21]	Kok P and Braunstein S L 2000 Phys. Rev. A 62 064301
[22]	Jin G S, Lin Y and Wu B 2007 Phys. Rev. A 75 054302
[23]	Nemoto K and Munro W J 2004 Phys. Rev. Lett. 93 250502
[24]	Milburn G J and Walls D F 1984 Phys. Rev. A 30 56
[25]	Imoto N, Haus H A and Yamamoto Y 1985 Phys. Rev. A 32 2287
[26]	Grangier P, Levenson J A and Poizat J P 1998 Nature (London) 396 537
[27]	Barrett S D, Kok P, Nemoto K, Beausoleil R G, Munro W J and Spiller T P 2005 Phys. Rev. A 71 060302(R)
[28]	Prevedel R, Walther P, Tiefenbacher F, Böhi P, Kaltenbaek R, Jennewein T D and Zeilinger A 2007 Nature (London) 445 65
[29]	Ladd T D, Loock P V, Nemoto K, Munro W J and Yamamoto Y 2006 New J. Phys. 8 184
[30]	Loock P V, Ladd T D, Sanaka K, Yamaguchi F, Nemoto K, Munro W J and Yamamoto Y 2006 Phys. Rev. Lett. 96 240501

A nearly deterministic scheme for generation of multiphoton GHZ states with weak cross-Kerr nonlinearity

A nearly deterministic scheme for generation of multiphoton GHZ states with weak cross-Kerr nonlinearity

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 30

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	Wenhao Zhao(赵文浩) and Min Jiang(姜敏). Novel traveling quantum anonymous voting scheme via GHZ states[J]. 中国物理B, 2023, 32(2): 20303-020303.
[2]	Xiao-Qiang Su(苏晓强), Zong-Ju Xu(许宗菊), and You-Quan Zhao(赵有权). Entanglement and thermalization in the extended Bose-Hubbard model after a quantum quench: A correlation analysis[J]. 中国物理B, 2023, 32(2): 20506-020506.
[3]	Kai-Qian Huang(黄恺芊), Wei-Lin Li(李蔚琳), Wen-Lei Zhao(赵文垒), and Zhi Li(李志). Characterizing entanglement in non-Hermitian chaotic systems via out-of-time ordered correlators[J]. 中国物理B, 2022, 31(9): 90301-090301.
[4]	Hengji Li(李恒吉), Jian Li(李剑), and Xiubo Chen(陈秀波). Probabilistic quantum teleportation of shared quantum secret[J]. 中国物理B, 2022, 31(9): 90303-090303.
[5]	Yuan-Yuan Liu(刘元元), Zhi-Ming Zhang(张智明), Jun-Hao Liu(刘军浩), Jin-Dong Wang(王金东), and Ya-Fei Yu(於亚飞). Nonreciprocal coupling induced entanglement enhancement in a double-cavity optomechanical system[J]. 中国物理B, 2022, 31(9): 94203-094203.
[6]	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.
[7]	Qilin Zheng(郑骑林), Jiacheng Liu(刘嘉成), Chao Wu(吴超), Shichuan Xue(薛诗川), Pingyu Zhu(朱枰谕), Yang Wang(王洋), Xinyao Yu(于馨瑶), Miaomiao Yu(余苗苗), Mingtang Deng(邓明堂), Junjie Wu(吴俊杰), and Ping Xu(徐平). Bright 547-dimensional Hilbert-space entangled resource in 28-pair modes biphoton frequency comb from a reconfigurable silicon microring resonator[J]. 中国物理B, 2022, 31(2): 24206-024206.
[8]	Xing-Xing Ju(居星星), Wei Zhong(钟伟), Yu-Bo Sheng(盛宇波), and Lan Zhou(周澜). Measurement-device-independent quantum secret sharing with hyper-encoding[J]. 中国物理B, 2022, 31(10): 100302-100302.
[9]	Bing Wang(王冰), San-Qiu Liu(刘三秋), and Li-Hua Gong(龚黎华). Semi-quantum private comparison protocol of size relation with d-dimensional GHZ states[J]. 中国物理B, 2022, 31(1): 10302-010302.
[10]	M Bagheri Harouni. Influences of spin-orbit interaction on quantum speed limit and entanglement of spin qubits in coupled quantum dots[J]. 中国物理B, 2021, 30(9): 90301-090301.
[11]	Bao-Min Li(李保民), Ming-Liang Hu(胡明亮), and Heng Fan(范桁). Nonlocal advantage of quantum coherence and entanglement of two spins under intrinsic decoherence[J]. 中国物理B, 2021, 30(7): 70307-070307.
[12]	Xin-Feng Jin(金鑫锋), Li-Zhen Jiang(蒋丽珍), and Xiao-Yu Chen(陈小余). Entanglement properties of GHZ and W superposition state and its decayed states[J]. 中国物理B, 2021, 30(6): 60301-060301.
[13]	杜少将, 彭勇刚, 冯海冉, 韩峰, 杨连武, 郑雨军. Reversion of weak-measured quantum entanglement state[J]. 中国物理B, 2020, 29(7): 74202-074202.
[14]	Sare Golkar, Mohammad Kazem Tavassoly, Alireza Nourmandipour. Qubit movement-assisted entanglement swapping[J]. 中国物理B, 2020, 29(5): 50304-050304.
[15]	刘堂昆, 刘飞, 单传家, 刘继兵. Geometrical quantum discord and negativity of two separable and mixed qubits[J]. 中国物理B, 2019, 28(9): 90304-090304.