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Chin. Phys. B, 2016, Vol. 25(2): 020307    DOI: 10.1088/1674-1056/25/2/020307
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A quantum walk in phase space with resonator-assisted double quantum dots

Zhi-Hao Bian(边志浩), Hao Qin(秦豪), Xiang Zhan(詹翔), Jian Li(李剑), Peng Xue(薛鹏)
Department of Physics, Southeast University, Nanjing 211189, China
Abstract  

We implement a quantum walk in phase space with a new mechanism based on the superconducting resonator-assisted double quantum dots. By analyzing the hybrid system, we obtain the necessary factors implementing a quantum walk in phase space: the walker, coin, coin flipping and conditional phase shift. The coin flipping is implemented by adding a driving field to the resonator. The interaction between the quantum dots and resonator is used to implement conditional phase shift. Furthermore, we show that with different driving fields the quantum walk in phase space exhibits a ballistic behavior over 25 steps and numerically analyze the factors influencing the spreading of the walker in phase space.

Keywords:  quantum walks      double quantum dots  
Received:  11 August 2015      Revised:  04 October 2015      Accepted manuscript online: 
PACS:  03.67.Ac (Quantum algorithms, protocols, and simulations)  
  42.50.Pq (Cavity quantum electrodynamics; micromasers)  
  74.50.+r (Tunneling phenomena; Josephson effects)  
Fund: 

Project supported by the National Natural Science Foundation of China (Grant No. 11474049) and CAST Innovation Fund.

Corresponding Authors:  Peng Xue     E-mail:  gnep.eux@gmail.com

Cite this article: 

Zhi-Hao Bian(边志浩), Hao Qin(秦豪), Xiang Zhan(詹翔), Jian Li(李剑), Peng Xue(薛鹏) A quantum walk in phase space with resonator-assisted double quantum dots 2016 Chin. Phys. B 25 020307

[1] Aharonov Y, Davidovich L and Zagury N 1993 Phys. Rev. A 48 1687
[2] Ambainis A 2003 Int. J. Quantum Inform. 1 507
[3] Childs A M, Cleve R, Deotto E, Farhi E, Gutmann S and Spielman D A 2003 Proc. 35th ACM Symposium on Theory of Computing (STOC 2003) pp. 59-68
[4] Shenvi N, Kempe J and Whaley K B 2003 Phys. Rev. A 67 052307
[5] Zhang R, Xu Y and Xue P 2015 Chin. Phys. B 24 010303
[6] Zhang R, Xue P and Twamley J 2014 Phys. Rev. A 89 042317
[7] Zhang R and Xue P 2014 Quantum Information Processing 13 1825
[8] Zhang R, Qin H, Tang B and Xue P 2013 Chin. Phys. B 22 110312
[9] Brun T A, Carteret H A and Ambainis A 2003 Phys. Rev. Lett. 91 130602
[10] Xue P and Sanders B C 2008 New J. Phys. 8 053025
[11] Xue P, Sanders B C, Blais A and Lalumiére K 2008 Phys. Rev. A 78 042334
[12] Hardal A C, Xue P, Shikano Y, Müstecaploğlu Ö E and Sanders B C 2013 Phys. Rev. A 88 022303
[13] Zähringer F, Kirchmair G, Gerritsma R, Solano E, Blatt R and Roos C F 2010 Phys. Rev. Lett. 104 100503
[14] Schmitz H, Matjeschk R, Schneider Ch, Glueckert J, Enderlein M, Huber T and Schaetz T 2009 Phys. Rev. Lett. 103 090504
[15] Xue P, Sanders B C and Leibfreid D 2009 Phys. Rev. Lett. 103 183602
[16] Bouwmeester D, Marzoli I, Karman G P, Schleich W and Woerdman J P 1999 Phys. Rev. A 61 013410
[17] Do B, Stohler M L, Balasubramanian S, Elliott D S, Eash C, Fischbach E, Fischbach M A, Mills A and Zwickl B 2005 J. Opt. Soc. Am. B 22 499
[18] Zhang P, Ren X F, Zou X B, Liu B H, Huang Y F and Guo G C 2007 Phys. Rev. A 75 052310
[19] Peruzzo A, Lobino M, Matthews J C F, Matsuda N, Politi A, Poulios K, Zhou X, Lahini Y, Ismail N, Wörhoff K, Bromberg Y, Silberberg Y, Thompson M G and O'Brien J L 2010 Science 329 1500
[20] Perets H B, Lahini Y, Pozzi F, Sorel M, Morandotti R and Silberberg Y 2008 Phys. Rev. Lett. 100 170506
[21] Sansoni L, Sciarrino F, Vallone G, Mataloni P, Crespi A, Ramponi R and Osellame R 2012 Phys. Rev. Lett. 108 010502
[22] Jeong Y C, Franco C Di, Lim H T, Kim M S and Kim Y H 2013 Nat. Commun. 4 2471
[23] Broome M A, Fedrizzi A, Lanyon B P, Kassal I, Aspuru-Guzik A and White A G 2010 Phys. Rev. Lett. 104 153602
[24] Xue P, Qin H, Tang B and Sanders B C 2014 New J. Phys. 16 053009
[25] Schreiber A, Cassemiro K N, Potoček V, Gábris A, Mosley P J, Andersson E, Jex I and Silberhorn C 2012 Science 336 55
[26] Xue P, Qin H and Tang B 2014 Sci. Rep. 4 4825
[27] Xue P, Qin H, Tang B, Zhan X, Bian Z H and Li J 2014 Chin. Phys. B 23 110307
[28] Bian Z H, Li J, Qin H, Zhan X, Zhang R, Sanders B C and Xue P 2015 Phys. Rev. Lett. 114 203602
[29] Chen H W, Kong X, Chong B, Qin G, Zhou X Y, Peng X H and Du J F 2011 Phys. Rev. A 83 032314
[30] Kuznetsova M S, Flisinski K, Gerlovin I Ya, Petrov M Yu, Ignatiev I V, Verbin S Yu, Yakovlev D R, Reuter D, Wieck A D and Bayer M 2014 Phys. Rev. B 89 125304
[31] Culcer D, Saraiva A L, Koiller B, Hu X D and Sarma S D 2012 Phys. Rev. Lett. 108 126804
[32] Paudel H P and Leuenberger M N 2013 Phys. Rev. B 88 085316
[33] Petta J R, Johnson A C, Taylor J M, Laird E A, Yacoby A, Lukin M D, Marcus C M, Hanson M P and Gossard A C 2005 Science 309 2180
[34] Johnson A C, Petta J R, Taylor J M, Yacoby A, Lukin M D, Marcus C M, Hanson M P and Gossard A C 2005 Nature 435 925
[35] Solenov D, Economou S E and Reinecke T L 2013 Phys. Rev. B 87 035308
[36] Burkard G and Imamoglu A 2006 Phys. Rev. B 74 041307
[37] Lin Z R, Guo G P, Tu T, Zhu F Y and Guo G C 2008 Phys. Rev. Lett. 101 230501
[38] Golovach V N, Borhani M and Loss D 2010 Phys. Rev. A 81 022315
[39] Burda Z, Duda J, Luck J M and Waclaw B 2009 Phys. Rev. Lett. 102 160602
[40] Xue P 2013 J. Comput. Theor. Nanosc. 10 1
[41] Tang B, Qin H, Zhang R, Liu J M and Xue P 2014 Chin. Phys. B 23 050307
[42] Xue P 2010 Phys. Lett. A 374 2601
[43] Xue P and Sanders B C 2013 Phys. Rev. A 87 022334
[44] Sanders B C, Bartlett S D, Tregenna B and Knight P L 2003 Phys. Rev. A 67 042305
[45] Taylor J M, Engel H A, Dür W, Yacoby A, Marcus C M, Zoller P and Lukin M D 2005 Nat. Phys. 1 177
[46] Blais A, Huang R S, Wallra A, Girvin S M and Schoelkopf R J 2004 Phys. Rev. A 69 062320
[47] Schoelkopf R, Clerk A, Girvin S, Lehnert K and Devoret M 2003 Quantum Noise in Mesoscopic Physics (Dordrecht: Kluwer Academic) Chap. 9, pp. 175-203
[48] Jaynes E T and Cummings F W 1963 Proc. IEEE 51 89
[49] James D F and Jerke J 2007 Can. J. Phys. 85 625
[50] Schuster D I, Houck A A, Schreier J A, Wallraff A, Gambetta J M, Blais A, Frunzio L, Majer J, Johnson B, Devoret M H, Girvin S M and Schoelkopf R J 2007 Nature 445 515
[51] Blais A, Gambetta J, Wallraff A, Schuster D I, Girvin S M, Devoret M H and Schoelkopf R J 2007 Phys. Rev. A 75 032329
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