Implementation of a Quantum Conditional Phase Gate for the Quantum Fourier Transform in Circuit QED
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Abstract
It is well known that multiple superconducting charge qubits coupled to a transmission line resonator can be controlled to achieve quantum logic gates between two arbitrary qubits. We propose a scheme to realize a quantum conditional phase gate with a geometric property by circuit electrodynamics, and it is applied naturally to realize the quantum Fourier transform with high fidelity. It is also demonstrated that the application is feasible and considerable under the present experimental technology. -
References
[1] Nielsen M A and Chuang I L 2000 Quantum Computation and Quantum Information (Cambridge: Cambridge University) [2] Kaye P, Laflamme R and Mosca M 2007 An Introduction to Quantum Computing (Oxford: Oxford University) [3] Shor P W 1994 Proc. 35th Annual Symposium on the Foundations of Computer Science (Los Alamitos, CA: IEEE Computer Society Press) [4] Pang C Y and Hu B Q 2008 Chin. Phys. B 17 3220 [5] Scully M O and Zubairy M S 2002 Phys. Rev. A 65 052324 [6] Wang H F, Zhang S and Yeon K H 2008 J. Korean Phys. Soc. 53 1787 [7] Weinstein Y S et al 2001 Phys. Rev. Lett. 86 1889 [8] Dong P, Yang M and Cao Z L 2008 Phys. Lett. A 373 30 [9] Clarke J and Wilhelm F K 2008 Nature 453 1031 [10] Schreier J A et al 2008 Phys. Rev. B 77 180502(R) [11] Lucero E et al 2008 Phys. Rev. Lett. 100 247001 [12] Chow J M et al 2009 Phys. Rev. Lett. 102 090502 [13] Yamamoto T et al 2003 Nature 425 941 [14] Plantenberg J H et al 2007 Nature 447 836 [15] Niskanen A O et al 2007 Science 316 723 [16] Feng Z B and Yan R Y 2010 Chin. Phys. Lett. 27 010301 [17] Yu L B et al 2007 Phys. Rev. A 76 034303; 2007 Phys. Lett. A 365 74 [18] Steffen M et al 2006 Science 313 1423 [19] Siddiqi I et al 2004 Phys. Rev. Lett. 93 207002 [20] McDermott R et al 2005 Science 307 1299 [21] Blais A et al 2004 Phys. Rev. A 69 062320 [22] Blais A et al 2007 Phys. Rev. A 75 032329
Xue Z Y and Wang Z D 2007 Phys. Rev. A 75 064303
Feng Z B 2008 Phys. Rev. A 78 032325[23] Sillanpää M A et al 2007 Nature 449 438 [24] Majer J et al 2007 Nature 449 443 [25] Schuster D I et al 2007 Nature 445 515 [26] DiCarlo L et al 2009 Nature 460 240 [27] Gao G J, Zheng X H and Cao Z L 2007 Chin. Phys. Lett. 24 2733 [28] Bishop L S et al 2009 New J. Phys. 11 073040;
Fink J M et al 2009 Phys. Rev. lett. 103 083601[29] Zhu S L and Wang Z D 2003 Phys. Rev. Lett. 91 187902
Zhu S L and Wang Z D 2005 Phys. Rev. Lett. 94 100502[30] Leibfried D et al 2003 Nature 422 412 [31] Zanardi P and Rasetti M 1999 Phys. Lett. A 264 94
Wang X B and Keiji M 2001 Phys. Rev. Lett. 87 097901
Zhu S L and Wang Z D 2003 ibid 91 187902;
Zhu S L and Wang Z D 2002 Phys. Rev. A 66 042322[32] Sjöqvist E 2008 Physics 1 35
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