Two-qubit and three-qubit controlled gates with cross-Kerr nonlinearity

doi:10.1088/1674-1056/22/3/030313

Abstract Schemes for two-qubit and three-qubit controlled gates based on cross-Kerr nonlinearity are proposed in this paper. The success probability of these gates can be increased by the quantum nondemolition detectors which are used to judge which paths the signal photons pass through. These schemes are nearly deterministic and require no ancilla photon. The advantages of these gates over the existing ones include Less resource consumption and higher success probability, which make our schemes more feasible with current technology.

Keywords: quantum controlled gates cross-Kerr nonlinearity quantum nondemolition detector

Received: 30 July 2012
Revised: 10 September 2012
Accepted manuscript online:

PACS:	03.67.-a	(Quantum information)
	03.67.Lx	(Quantum computation architectures and implementations)
	42.50.Ex	(Optical implementations of quantum information processing and transfer)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 61068001 and 11264042) and the Program for Chun Miao Excellent Talents of Department of Education of Jilin Province China (Grant No. 201316).

Corresponding Authors: Zhang Shou
E-mail: szhang@ybu.edu.cn

Cite this article:

Zhao Rui-Tong (赵瑞通), Guo Qi (郭奇), Cheng Liu-Yong (程留永), Sun Li-Li (孙立莉), Wang Hong-Fu (王洪福), Zhang Shou (张寿) Two-qubit and three-qubit controlled gates with cross-Kerr nonlinearity 2013 Chin. Phys. B 22 030313

[1]	Spiller T P, Munro W J, Barrett S D and Kok P 2005 Contemp. Phys. 46 407
[2]	Tang S Q, Zhang D Y, Wang X W, Xie L J and Gao F 2011 Chin. Phys. B 20 040308
[3]	Zhong W X, Cheng G L and Chen A X 2010 Chin. Phys. B 19 110501
[4]	Shi H M, Yu Y F and Zhang Z M 2012 Chin. Phys. B 21 064205
[5]	Knill E, Laflamme R and Milburn G J 2001 Nature 409 46
[6]	Pittman T B, Jacobs B C and Franson J D 2001 Phys. Rev. A 64 062311
[7]	Pittman T B, Jacobs B C and Franson J D 2002 Phys. Rev. Lett. 88 257902
[8]	Bao X H, Chen T Y, Zhang Q, Yang J, Zhang H, Yang T and Pan J W 2007 Phys. Rev. Lett. 98 170502
[9]	Hofmann H F and Takeuchi S 2002 Phys. Rev. A 66 024308
[10]	Kiesel N, Schmid C, Weber U, Ursin R and Weinfurter H 2005 Phys. Rev. Lett. 95 210505
[11]	Wang H F, Shao X Q, Zhao Y F, Zhang S and Hwang K 2010 J. Opt. Soc. Am. B 27 27
[12]	Cao S and Fang M F 2006 Chin. Phys. 15 276
[13]	Gong Y X, Guo G C and Ralph T C 2008 Phys. Rev. A 78 012305
[14]	Barrett S D, Kok P, Nemoto K, Beausoleil R G, Munro W J and Spiller T P 2005 Phys. Rev. A 71 060302
[15]	Nemoto K and Munro W J 2004 Phys. Rev. Lett. 93 250502
[16]	Guo Q, Bai J, Cheng L Y, Shao X Q, Wang H F and Zhang S 2011 Phys. Rev. A 83 054303
[17]	Kok P 2008 Phys. Rev. A 77 013808
[18]	Xia Y, Song J, Lu P M and Song H S 2011 J. Phys. B 44 025503
[19]	Xiu X M, Dong L, Gao Y J and Yi X X 2012 Quantum Inf. Comput. 12 0159
[20]	Lin Q and Li J 2009 Phys. Rev. A 79 022301
[21]	Munro W J, Nemoto K, Spiller T P, Barrett S D, Kok P and Beausoleil R G 2005 J. Opt. B: Quantum Semiclass. Opt. 7 S135
[22]	Kok P, Munro W J, Nemoto K, Ralph T C, Dowing J P and Milburn G J 2007 Rev. Mod. Phys. 79 135
[23]	Kok P, Lee H and Dowling J P 2002 Phys. Rev. A 66 063814
[24]	Hofmann H F, Kojima K, Takeuchi S and Sasaki K 2003 J. Opt. B 5 218
[25]	Wang X W, Zhang D Y, Tang S Q, Xie L J, Wang Z Y and Kuang L M 2012 Phys. Rev. A 85 052326
[26]	He B, Ren Y H and Bergou J A 2009 Phys. Rev. A 79 052323
[27]	Wittmann C, Andersen U L, Takeoka M, Sych D and Leuchs G 2010 Phys. Rev. A 81 062338

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Two-qubit and three-qubit controlled gates with cross-Kerr nonlinearity

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