摘要We construct a novel Λ-type system via the dressed states formed by the coupling between a superconducting qubit and a transmission line resonator (TLR). Compared with the conventional three-level structure, our model averts the decay of excited states. We choose the two lowest energy dressed states as the logical states. The single qubit quantum gate can be realized by the adiabatic passage and three-step operation method, respectively. Based on realistic parameters, the feasibility of the adiabatic passage method is discussed. Also, we calculate the fidelity (0.9996) of realizing the single qubit gate with the three-step operation method.
Abstract：We construct a novel Λ-type system via the dressed states formed by the coupling between a superconducting qubit and a transmission line resonator (TLR). Compared with the conventional three-level structure, our model averts the decay of excited states. We choose the two lowest energy dressed states as the logical states. The single qubit quantum gate can be realized by the adiabatic passage and three-step operation method, respectively. Based on realistic parameters, the feasibility of the adiabatic passage method is discussed. Also, we calculate the fidelity (0.9996) of realizing the single qubit gate with the three-step operation method.
[1] Nielsen M A and Chuang I L 2000 Quantum Computation and Quantum Information (Cambridge: Cambridge University)
[2] Grover L K 1997 Phys. Rev. Lett. 79 325
[3] Shor P W 1994 in Proceedings of the 35th Annual Symposium on Foundations of Computer Science (Los Alamitos, CA: IEEE Computer Society) p 124
[4] You L 2001 Phys. Rev. A 64 012302
[5] Ralph T C et al 2002 Phys. Rev. A 65 062324
[6] Zou X, Pahlke K and Mathis W 2002 Phys. Rev. A 65 064305
[7] Wei L F, Liu Y X and Nori F 2006 Phys. Rev. Lett. 96 246803
[8] Neumann P et al 2008 Science 320 1326
[9] Wang Y D, Chesi S, Loss D and Bruder C 2010 Phys. Rev. B 81 104524
[10] Liu Y X, Sun C P and Nori F 2006 Phys. Rev. A 74 052321
[11] You J Q and Nori F 2003 Phys. Rev. B 68 064509
[12] Sun C P et al 2006 Phys. Rev. A 73 022318
[13] Martinis J M, Nam S and Aumentado J 2002 Phys. Rev. Lett. 89 117901
[14] Yu Y et al 2002 Science 296 889
[15] Pashkin Y A and Yamamoto T 2003 Nature 421 823
[16] Berkley A J et al 2003 Science 300 1548
[17] Blais A, Maassen van den Brink A and Zagoskin A M 2003 Phys. Rev. Lett. 90 127901
[18] Wang H et al 2004 Phys. Rev. Lett. 101 240401
[19] Amin M H S, Smirnov A Y and Maassen van den Brink A 2003 Phys. Rev. B 67 100508
[20] Yang C P and Han S 2004 Phys. Lett. A 321 273
[21] Yang C P and Han S 2006 Phys. Rev. A 74 044302
[22] Blais A et al 2004 Phys. Rev. A 69 062320
[23] Majer J et al 2007 Nature 449 443
[24] Makhlin Y, Schön G and Shnirman A 2001 Rev. Mod. Phys. 73 357
[25] Ian H, Liu Y X and Nori F 2010 Phys. Rev. A 81 063823
[26] Kis Z and Renzoni F 2002 Phys. Rev. A 65 032318
[27] DiCarlo L et al 2009 Nature 460 240
[28] Paauw F G et al 2009 Phys. Rev. Lett. 102 090501
[29] Zhu X, Kemp A, Saito S and Semba K 2010 Appl. Phys. Lett. 97 102503
2011, Vol. 28 
