腔QED中实现控制量子逻辑门的简易方案

J4 ›› 2013, Vol. 30 ›› Issue (6): 738-742.

腔QED中实现控制量子逻辑门的简易方案

刘文鹏，宋学科，叶柳

安徽大学物理与材料科学学院，安徽合肥 230039

出版日期:2013-11-28 发布日期:2013-11-13
通讯作者: 叶柳（1964-）女，安徽合肥人，教授，博士生导师，研究方向为量子信息。 E-mail:yeliu@ahu.edu.cn
作者简介:刘文鹏（1990-）河北泊头人，研究方向为量子计算和量子通信。E-mail:15156063477@163.com

An easy scheme for implementing conditional logic gate in cavity QED

Liu Wen-peng, Song Xue-ke，Ye Liu

School of Physics & Material Science, Anhui University, Hefei 230039, China

Published:2013-11-28 Online:2013-11-13

摘要/Abstract

摘要： 受之前有关控制量子门工作的启发，提出了一个在腔QED中实现CNOT门，Toffoli门以及Fredkin门的简易方案。本方案只涉及到原子与腔场之间的大失谐相互作用，腔场处于虚激发，量子信息不会在原子和腔之间传递，因此对腔场的品质因子要求大大降低，在目前的实验技术条件下，该方案是是可行的。

关键词: 量子光学, 控制逻辑门, 控制变量法, 腔量子点动力学

Abstract: Inspired by the previous works on the conditional quantum logic gate, a scheme for realizing the C-NOT gate, Toffoli gate and Fredkin gate in cavity QED has been proposed. The scheme only involves atom-field interaction of large-detuning, so it is very simple and easy to realize because the cavity is only virtually excited, and the transfer of the quantum information between the atoms and cavity will not occur. Thus, it is insensitive to the cavity decay and the thermal field, and the requirement on the quality factor of the cavities is greatly loosened and the scheme is feasible with present experimental technology.

Key words: quantum optics, conditional logic gate, control variable method, cavity QED

中图分类号:

O431.2

刘文鹏，宋学科，叶柳. 腔QED中实现控制量子逻辑门的简易方案[J]. J4, 2013, 30(6): 738-742.

Liu Wen-peng, Song Xue-ke，Ye Liu . An easy scheme for implementing conditional logic gate in cavity QED [J]. J4, 2013, 30(6): 738-742.

参考文献

[1] Grover L K. Quantum Computers Can Search Rapidly by Using Almost Any Transformation [J]. Phys. Rev. Lett., 1998, 80(19):4329-4332. [2] Chen L B, Sham L J, and Wakes E. Optically controlled phase gate for two spin qubits in coupled quantum dots [J]. Phys. Rev. B, 2012, 85:115319. [3] Strauch F W. Quantum logic gates for superconducting resonator qudits [J]. Phys. Rev. A, 2011, 84: 052313. [4] Price M D, Somaroo S. S., et al. Generalized methods for the development of quantum logic gates for an NMR quantum information processor [J]. Phys. Rev. A, 1999, 60(4) :2777-2780. [5] Monz T, Kim K, H?nsel W, et al. Realization of the Quantum Toffoli Gate with Trapped Ions [J]. Phys. Rev. Lett., 2009, 102:040501. [6] Zheng S B, Guo G C. Efficient Scheme for Two-Atom Entanglement and Quantum Information Processing in Cavity QED [J]. Phys. Rev. Lett., 2000, 85(11):2392-2395. [7] Zou X B, Dong Y L, Guo G. C. Implementing a conditional z gate by a combination of resonant interaction and quantum interference [J]. Phys. Rev. A, 2006, 74:032325. [8] Shao X Q, Zhu A D, Zhang S. Efficient scheme for implementing an N-qubit Toffoli gate by a single resonant interaction with cavity quantum electrodynamics [J]. Phys. Rev. A, 2007, 75:034307. [9] Chen C Y, Feng M, Gao K L. Toffoli gate originating from a single resonant interaction with cavity QED [J]. Phys. Rev. A, 2006, 73:064304. [10] Fan Y, Li D G. Conditional quantum controlled-phase gate between distant atoms in optical cavities [J]. Chin. J. Quantum Electron., 2010, 27(5):554-557. [11] Ladd T D, Yamamoto Y. Simple quantum logic gate with quantum dot cavity QED systems [J]. Phys. Rev. B, 2011, 84:235307 [12] Zheng S B. Simplified construction and physical realization of n-qubit controlled phase gates [J]. Phys. Rev. A, 2012, 86:012326. [13] Song K H, Shi Z G, Xiang S H, Chen X W. Multi-qubit controlled-NOT gates and Greenberger-Horne-Zeilinger state generation using one qubit simultaneously controlling n qubits [J]. Phys. B, 2012, 407:3596-3599. [14] Zheng S B. Implementation of Toffili gates with a single asymmetric Heisenberg XY interaction [J]. Phys. Rev. A, 2013, 87:042318. [15] Miroshnichenko G P, Trifanov A I. Conditional phase shift for quantum CCNOT operation [J]. Quantum Inf. Process., 2013, 12:1417-1428. [16] Ye L, Guo G C. Scheme for implementing quantum dense coding in cavity QED [J]. Phys. Rev. A, 2005, 71:034304. [17] Chau H F, Wilczek F. Simple Realization of the Fredkin Gate using a Series Of Two-Body Operators [J]. Phys. Rev. Lett., 1995, 75(4):748-750.