摘要A protocol is proposed to implement a three-qubit phase gate for photonic qubits in a three-mode cavity. The idea can be extended to directly implement a N-qubit phase gate. We also show that the interaction time remains unchanged with the increasing number of qubits. In addition, the influence of cavity decay and atomic spontaneous emission on the gate fidelity and photon loss probability is also discussed by numerical calculation.
Abstract:A protocol is proposed to implement a three-qubit phase gate for photonic qubits in a three-mode cavity. The idea can be extended to directly implement a N-qubit phase gate. We also show that the interaction time remains unchanged with the increasing number of qubits. In addition, the influence of cavity decay and atomic spontaneous emission on the gate fidelity and photon loss probability is also discussed by numerical calculation.
[1] Shor P W 1994 Proceedings of the 35th Annual Symposium on Foundations of Computer Science (Los Alamitos CA: IEEE Computer Society) p 116 [2]Grover L K 1997 Phys. Rev. Lett. 79 325 [3]Sleator T andWeinfurter H 1995 Phys. Rev. Lett. 74 4087 [4]Pellizzari T, Gardiner S A, Cirac J I and Zoller P 1995 Phys. Rev. Lett. 75 3788 [5]Cirac J I and Zoller P 2000 Nature 404 579 [6]Barenco A, Deutsch D, Ekert A and Jozsa R 1995 Phys. Rev. Lett. 74 4083 [7]Zou X B, Dong Y L and Guo G C 2006 Phys. Rev. A 74 032325 [8]Lin X M, Zhou Z W, Ye M Y, Xiao Y F and Guo G C 2006 Phys. Rev. A 73 012323 [9]Zou X B, Li K and Guo G C 2006 Phys. Rev. A 74 044305 [10]Zubairy M S, Kim M and Scully M O 2003 Phys. Rev. A 68 033820 [11]Biswas A and Agarwal G S 2004 Phys. Rev. A 69 062306 [12]Maraver R G, Corbal\'{an R, Eckert K, Rebi S, Artoni M and Mompart J 2004 Phys. Rev. A 70 062324 [13]Chang J T and Zubairy M S 2008 Phys. Rev. A 77 012329 [14]Biswas A and Agarwal G S 2004 Phys. Rev. A 69 062306 [15]Vewinger F, Appel J, Figueroa E and Lvovsky A I 2007 Opt. Lett. 32 2771 [16]Duan L M,Kuzmich A and Kimble H J 2003 Phys. Rev. A 67 032305 [17]Lange W and Kimble H J 2000 Phys. Rev. A 61 063817 [18]Buck J R andKimble H J 2003 Phys. Rev. A 67 033806 [19]Fattal D,Beausoleil R G and Yamamoto Y 2006 quant-ph/0606024