| GENERAL |
|
|
|
|
Validity of Lamb-Dicke Approximations in Ion-Trap Systems |
| LAN Hai-Jiang1, ZHANG Miao2, WEI Lian-Fu2 |
| 1Department of Physics, Liuzhou Teachers' College, Liuzhou 5450032Quantum Optoelectronics Laboratory, Southwest Jiaotong University, Chengdu 610031 |
|
| Cite this article: |
|
LAN Hai-Jiang, ZHANG Miao, WEI Lian-Fu 2010 Chin. Phys. Lett. 27 010304 |
|
|
|
|
Abstract The Lamb-Dicke (LD) approximation (LDA) is usually utilized to simplify the treatments for the dynamics of ion-trap systems, where the so-called LD parameters should be sufficiently small. In this Letter, based on the quantum dynamics of a single trapped ion beyond the LDA, we discuss the fidelities of the control-NOT (CNOT) gate generated by performing the usual LDA. It is shown that the fidelity of the generated CNOT gate under the LDA is sufficiently high for the current LD experiments, e.g., it reaches 99.9% for η=0.20. The validity of the LDA is also discussed by calculating these fidelities for slightly larger LD parameters, e.g., η=0.4, etc.
|
| Keywords:
03.67.Lx
42.60.By
37.10.Ty
|
|
|
Received: 18 August 2009
Published: 30 December 2009
|
|
| PACS: |
03.67.Lx
|
(Quantum computation architectures and implementations)
|
| |
42.60.By
|
(Design of specific laser systems)
|
| |
37.10.Ty
|
(Ion trapping)
|
|
|
|
|
|
[1] Ekert A and Jozsa R 1995 Rev. Mod. Phys. 68733
[2] Sleator T and Weinfurter H 1995 Phys. Rev. Lett. 74 4087
[3] Barenco A et al 1995 Phys. Rev. Lett. 74 4083
[4] Monroe C et al 1995 Phys. Rev. Lett. 75 4714
[5] Gershenfeld N A and Chuang I L 1997 Science 275 350
[6] Loss D and Divincenzo D P 1998 Phys. Rev. A 57120
[7] Makhlin Y et al 2001 Rev. Mod. Phys. 73 357
[8] Pellizzari T et al 1995 Phys. Rev. Lett. 753788
[9] Cirac J I and Zoller P 1995 Phys. Rev. Lett. 74 4091
[10] Steane A 1997 Appl. Phys. B 64 623
[11] Yin W J and Liang L 2009 Chin. Phys. Lett. 26043701
[12] Jin C, Tao Z H et al 2008 Chin. Phys. Lett. 25 2041
[13] Ling C G and Ming H X 2008 Chin. Phys. Lett. 25 1198
[14] Qian L et al 2008 Chin. Phys. Lett. 25 3234
[15] Leibfried D et al 2003 Rev. Mod. Phys. 75 281
[16] Monroe C et al 1997 Phys. Rev. A 55 2489
[17] Wei L F, Liu S Y and Lei X L 2002 Phys. Rev. A 65 062316
[18] Wei L F, Liu Y X and Nori F 2004 Phys. Rev. A 70 063801
[19] Zhang M, Jia H Y et al 2009 Opt. Commun. 2821948
[20] Barton P A et al 2000 Phys. Rev. A 62 032503
[21] N\"{agerl H C, Roos C et al 2000 Phys. Rev. A 61 023405
[22] Irish E K 2007 Phys. Rev. Lett. 99 173601
[23] Meekhof D M et al 1996 Phys. Rev. Lett. 761796
[24] Stevens D et al 1998 Phys. Rev. A 58 2750
[25] Blockley C A et al 1992 Europhys. Lett. 17509
[26] Roos C et al 1999 Phys. Rev. Lett. 83 1713 |
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
