光子学报, 2014, 43 (8): 0827002, 网络出版: 2014-09-01   

基于操作腔外原子比特控制腔内原子比特相干性时间演化

Controllable Time Evolution of Coherence of an Atom Bit inside Cavity by Manipulating the Atom Bit Outside Cavity
作者单位
湖南科技大学 物理与电子科学学院, 湖南 湘潭 411201
摘要
考虑初始处于两类Bell态的两原子比特, 将其中一个注入真空态腔中发生共振相互作用的情况, 研究基于操作腔外原子比特控制腔内原子比特相干性时间演化.考察对腔外原子比特施Hadamard(H)门, H类门,Y门及位相门四种逻辑门操作及态选择测量前后, 腔内原子比特约化密度矩阵非对角元时间演化曲线, 讨论两类Bell态之间的关联性. 结果表明, 对腔外原子比特操作前, 腔内原子比特密度矩阵非对角元在任意时刻都为零, 总是处于混合态或经典态, 因此始终退相干.而对腔外原子比特施H门和H类门操作及基态测量后, 腔内原子比特密度矩阵非对角元呈现周期为2π的时间演化, 除(2n+1)π/2时刻外, 其相干性得到恢复;在nπ时刻, 其最大相干叠加态和一般相干叠加态被制备;两类Bell态之间存在R∧(π/2)旋转关联性.而对腔外原子比特施Y门及位相门操作后, 腔内原子比特的相干性得不到恢复.发现腔内原子比特的相干性得到恢复的必要条件是, 逻辑门操作能够调节腔内原子比特与环境的相互作用, 并使两原子比特与场分离的同时, 它们之间形成强相干性的纠缠态分布.
Abstract
Considering two atom bits in Bell state initially, one bit was injected into a vacuum cavity to produce resonance while leaving the other outside. The controllable coherence of an atom bit inside the cavity was investigated by manipulating the atom bit outside the cavity. For the cases of before and after the Hadamard, Hadamard-like, Y, and phase logic gate manipulations on the atom bit outside the cavity, the correlation of two kinds of initial Bell state was discussed by numerical calculation. The time evolution curves of off-diagonal elements in the reduced density matrix for the atom bit inside the cavity was studied. The results show that the off-diagonal elements of the density matrix for the atom bit inside the cavity are zero at any moment before operating the atom bit outside the cavity. That is, the atom bit inside the cavity is always in a mixed state or classical states, and its coherence is always suppressed. However, after Hadamard gate and Hadamard-like gate operations and ground state measurements, off-diagonal elements in the reduced density matrix of the atom bit inside the cavity show the 2π period time evolution, and the coherence can be restored except (2n+1)π/2. At nπ the maximal coherence superposition state and general coherence superposition state were prepared, and a R∧(π/2) rotation correlation existed between the two kinds of Bell states. In addition, performing Y gate and phase gate operations on the outside atom bit, the coherence for the inside atom bit cannot restore. The necessary condition for the restoration of the coherence of the inside atom bit was found out as following: while logic gate operations manipulate the interactions between the atom bit inside the cavity and its environment, and the two atom bits are separated from the field, a strongly coherent entanglement is necessary between the two atom bits.
参考文献

[1] BENNETT C H, DIVINCENZO D P.Quantum information and computation[J]. Nature, 2000, 404(16): 247-255.

[2] MEIER F, LEVY J, LOSSL D. Quantum computing with spin cluster qubits[J].Physical Review Letters , 2003, 90(4): 047901-047904.

[3] 吴长锋.我国首次实现光子比特与原子比特间的量子隐形传态[J].前沿科学, 2008, 2(5):92.

    WU Chang-fen. Quantum teleportation between the photon bits and atoms bits first is completed in China[J]. Frontier Science, 2008, 2(5):92.

[4] LONG G L, LI Y S, ZHANG W L, et al. Dominant gate imperfection in grovers quantum search aglorith[J]. Physical Review A,2000, 61(4):0423051-0423055.

[5] DUAN Lu-Ming, GUO Guang-can. Preserving coherence in quantum computation by pairing quantum bits[J].Physical Review Letters ,1997,79(10): 1953-1956.

[6] 连汉丽, 胡明亮. 三量子位系统的消相干和退纠缠[J].光子学报, 2008,37(8): 1688-1692.

    LIAN Han-li HU Ming-liang . Disentangtement and decoherence in the three-qubit system[J]. Acta Photonica Sinica ,2008,37(8): 1688-1692.

[7] 王璞玉, 杨国建.原子相干对光缔合形成分子的影响[J]. 光子学报, 2010,39(3): 0543-0547.

    WANG Pu-yu, YANG Guo-jian. Atomic coherence effect on the formation molecules Via of via photoassociation[J].Acta Photonica Sinica ,2010,39(3): 0543-0547.

[8] 张登玉, 消除简并双光子过程中二能级原子的消相干性[J]. 物理学报, 2002,51(3): 532-535.

    ZHANG Deng-yu. The suppression of two-level atom’s decoherence by an external driving field in degenerate two-photon processes[J]. Acta Physica Sinica.2002,51(3): 532-535.

[9] 张登玉. 简并多光子过程中两能级原子消相干性的消除[J].光子学报2002,31(5):537-540.

    ZHANG Deng-yu. The suppression of two-level atom′s decoherence by an external driving field in degenerate multi-photon processes[J]. Acta Photonica Sinica ,2002,31(5):537-540.

[10] 张成强, 姬长建, 刘萌,等.非旋波近似下有外加驱动场时二态量子系统的退相干[J]. 量子电子学报,2011 ,28(6): 705-709.

    ZHANG Cheng-qiang, JI Chang-jian, LIU Meng et al.Decoherence in two-state quantum systems through an external controllable driving field without Rotating wave approximation[J].Chinese Jouranal Of Quantumele Electronics, 2011 ,28(6): 705-709.

[11] 赵文垒, 王建忠, 豆福全. 混沌微扰导致的量子退相干[J]. 物理学报, 2012,61(24) :240302-240306.

    ZHAO Wen-Lei, WANG Jian-Zhong,DOU Fu-Quan. Decoherence by a classically small influence[J].Acta Physica Sinica. 2012 , 61(24) :240302-240306.

[12] YANG C P, GUO G C. Controllable emission proper ties of an atom inside a cavity by manipulating the atom outside the cavity[J]. Physical Letter. (A) , 1999, 255(5) : 129-132.

[13] 李承祖 黄明球, 陈平形, 梁林梅. 量子通信和量子计算[M]. 长沙: 国防科技大学出版社, 2000.

[14] OH S , LEE S , LEE H W. Fidelity of quantum teleportation through noisy channels[J]. Physical Review. A, 2002,66(2): 022316-5.

[15] 卢道明. 远程控制原子的纠缠特性[J]. 光子学报, 2010, 39(11): 2088-2093.

    LU Dao-ming. Romote control entanglement properties of two-atom inside cavities[J]. Acta Photonica Sinica ,2010,39(11): 2088-2093.

周并举, 彭朝晖, 刘小娟. 基于操作腔外原子比特控制腔内原子比特相干性时间演化[J]. 光子学报, 2014, 43(8): 0827002. ZHOU Bing-ju, PENG Zhao-hui, LIU Xiao-juan. Controllable Time Evolution of Coherence of an Atom Bit inside Cavity by Manipulating the Atom Bit Outside Cavity[J]. ACTA PHOTONICA SINICA, 2014, 43(8): 0827002.

本文已被 1 篇论文引用
被引统计数据来源于中国光学期刊网
引用该论文: TXT   |   EndNote

相关论文

加载中...

关于本站 Cookie 的使用提示

中国光学期刊网使用基于 cookie 的技术来更好地为您提供各项服务,点击此处了解我们的隐私策略。 如您需继续使用本网站,请您授权我们使用本地 cookie 来保存部分信息。
全站搜索
您最值得信赖的光电行业旗舰网络服务平台!