Original Articles |
|
|
|
|
Physical Realization of Quantum C-Not Gate |
HUO Jian-Li;WANG Shun-Jin;TAO Jun |
Center of Theoretical Physics, School of Physics and Technology, Sichuan University, Chengdu 610064 |
|
Cite this article: |
HUO Jian-Li, WANG Shun-Jin, TAO Jun 2008 Chin. Phys. Lett. 25 813-816 |
|
|
Abstract We investigate a Heisenberg spin cluster with two particles controlled by a time-dependent magnetic field. The system is controlled by tuning the amplitude, frequency, and interaction time of the three-step time-dependent magnetic field. Then we solve the time-dependent Schrodinger equation of the two-particle system, and obtain the time evolution operator. By the three-timestep interaction, the wavefunction evolves from the initial state to the final state, and the total evolution operator can be expressed as a product of the three evolution operators. By adjusting the physical parameters, the key two-qubit logic gate, the C-Not gate, can be realized physically.
|
Keywords:
03.65.Ge
03.67.-a
|
|
Received: 17 October 2007
Published: 27 February 2008
|
|
PACS: |
03.65.Ge
|
(Solutions of wave equations: bound states)
|
|
03.67.-a
|
(Quantum information)
|
|
|
|
|
[1] Nielsen M A and Chuang I L 2000 Quantum Computationand Quantum Information (Cambridge: Cambridge University Press) [2] Wang S J 2005 Frontier Topics in Physics(Chengdu: Sichuan University) chap 7 (in Chinese) [3] Zhang Z J, Zhang Z L and Li A M 2002 QuantumComputation and Encrypted Communications (Wuhan: Central ChinaNormal University Press) (in Chinese) [4] Monroe et al 1995 Phys. Rev. Lett. 75 4717 [5] Gershenfeld N A and Chuang I L 1997 Science 275 350 [6] Loss D and Divincenzo D P 1998 Phys. Rev. A 57 120 [7] Turchette Q A et al 1995 Phys. Lett. 75 4710 [8] Yamamoto T, Pashkin Yu A, Astafiev O, Nakamura Y and Tsai J S2003 Nature 425 941 [9] Steffen M et al 2006 Science 313 1423 [10] Plantenberg J H, de Groot P C, Harmans C J P M and Mooij J E2007 Nature 447 836 [11] Ahmad Abliz, Gao H J, Xie X C, Wu Y S and Liu W M 2006 Phys. Rev. A 74 052105 [12] Su X F and Wang S J 2005 Int. J. phys. B 19 2481 [13] Tao J and Wang S J 2006 Chin. Phys. Lett. 23 3131 [14] Wang S J 1999 Prog. Phys. 19 331 [15] Wang S J 2005 Advanced Quantum Theory and QuantumMany-Body Theory (Chengdu: Sichuan University Press) chap 10 (inChinese) |
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|