A Simple Scheme for Two-Qubit Grover Search in Hot Trapped Ions
ZHENG Xiao-Juan1,2, FANG Mao-Fa3, XU Hui1,2
1School of Material Science and Engineering, Central South University, Changsha 4100832School of Physics Science and Technology, Central South University, Changsha 4100833College of Physics and Information Science, Hunan Normal University, Changsha 410081
A Simple Scheme for Two-Qubit Grover Search in Hot Trapped Ions
ZHENG Xiao-Juan1,2, FANG Mao-Fa3, XU Hui1,2
1School of Material Science and Engineering, Central South University, Changsha 4100832School of Physics Science and Technology, Central South University, Changsha 4100833College of Physics and Information Science, Hunan Normal University, Changsha 410081
摘要An alternative simple scheme is proposed to implement the two-qubit Grover search algorithm in trapped ions by applying a single standing-wave laser pulse during the two-qubit operation. The scheme is insensitive to the heating of vibrational motion, which is important in view of decoherence. Moreover a third auxiliary internal electronic state is eliminated, and the qubit definitions are the same for both ions, which makes the experiment easier and simpler.
Abstract：An alternative simple scheme is proposed to implement the two-qubit Grover search algorithm in trapped ions by applying a single standing-wave laser pulse during the two-qubit operation. The scheme is insensitive to the heating of vibrational motion, which is important in view of decoherence. Moreover a third auxiliary internal electronic state is eliminated, and the qubit definitions are the same for both ions, which makes the experiment easier and simpler.
[1] Grover L K 1997 Phys. Rev. Lett. 79 325 [2] Zheng P C and Bao W S 2008 Chin. Phys. Lett. 25 2774 [3] Jones J A, Mosca M and Hansen R H 1998 Nature 393 344 Chuang I L, Gershenfeld N and Kubinec M 1998 Phys. Rev.Lett. 80 3408 [4] Bhattacharya N, van Linden van den Heuvell H B and SpreeuwR J C 2002 Phys. Rev. Lett. 88 137901 [5]Walther P, Resch K J, Rudolph T, Schenck E, Weinfurter H,Vedral V, Aspelmeyer M and Zeilinger A 2005 Nature (London) 434 169 [6] Brickman K A, Haljan P C, Lee P J, Acton M, Deslauriers Land Monroe C 2005 Phys. Rev. A 72 050306(R) [7]Shingo Fujiwara and Shuichi Hasegawa 2005 Phys. Rev.A 71 012337 [8]Feng M 2001 Phys. Rev. A 63 052308 [9] Zheng S B 2005 Chin. Phys. 14 2222 [10] Feng M, Zhu X W, Gao K L and Shi L 2001 Chin. Phys.Lett. 18 718 [11]Yamaguchi F, Milman P, Brune M, Raimond J M and Haroche S2002 Phys. Rev. A 66 010302(R) [12]Deng Z J, Feng M and Gao K L 2005 Phys. Rev. A 72 034306 [13]Yang W L, Chen C Y and Feng M 2007 Phys. Rev. A 76 054301 [14]Daems D and Gu\'{erin S 2007 Phys. Rev. Lett. 99 170503 [15] Schmidt-Kaler F, H\"{affner H, Riebe M, Gulde S,Lancaster G P T, Deuschle T, Becher C, Roos C F, Eschner J and BlattR 2003 Nature 422 408 [16]Leibfried D, DeMarco B, Meyer V, Lucas D, Barrett M,Britton J, Itano W M, Jelenkovic B, Langer C, Rosenband T andWineland D J 2003 Nature 422 412 [17] James D F V 1998 Appl. Phys. B 66 181 [18]Solano E, Agarwal G S and Walther H 2003 Phys. Rev.Lett. 90 027903 [19] S\o rensen A and M\o lmer K 2000 Phys. Rev. A 62 022311 [20]Cirac J I and Zoller P 1995 Phys. Rev. Lett. 74 4091 [21]Chuang I L, Gershenfeld N and Kubinec M 1998 Phys.Rev. Lett. 80 3408 [22] Fujiwara S and Hasegawa S 2005 Phys. Rev. A 71 012337 [23]Kreuter A, Becher C, Lancaster G P T, Mundt A B, Russo C,H. H\"{affner, Roos C, H\"{ansel W, Schmidt-Kaler F and Blatt R 2005 Phys. Rev. A 71 032504 [24] H\"{afner H, H\"{ansel W, Roos C F, Benhelm J,Chek-al-kar D, Chwalla M, K\"{orber T, Rapol U D, Riebe M, Schmidt P O, Becher C,G\"{uhne O, D\"{ur W and Blatt R 2005 Nature 438 643 Reichle R, Leibfried D, Knill E, Britton J, Blakestad R B,Jost J D, Langer C, Ozeri R, Seidelin S and Wineland D J 2006 Nature 443 838 [25] Zurek W H 1991 Phys. Today 44(10) 36 [26] Unruh W G 1995 Phys. Rev. A 51 992 [27]Sackett C A, Kielpinski D, King B E, Langer C, MeyerV,Myatt C J, Rowe M, Turchette Q A, Itano W M, Wineland D J and MonroeC 2000 Nature 404 256 [28] Monroe C, Leibfreid D, King B E, Meekhof D M, Itano W Mand Wineland D J 1997 Phys. Rev. A 55 R2489
2009, Vol. 26 
