摘要
根据量子信息保真度理论,研究了数态光场与初始处于GHZ态的3个两能级原子相互作用系统中量子态保真度的演变规律.对系统中原子和场取迹后不同量子态保真度的变化规律和场的初始光子数对系统中不同量子态保真度的影响进行了分析与研究.结果表明,初始光子数越大,量子态保真度随时间振荡频率越大.
The character of the time evolution of the fidelity of quantum state in a system of a Fock state field interacting with three two-level atoms have been studied by means of numerical calculation and quantum fidelity.The variation of the fidelity of different quantum states which was taken the track on the field and the atomic and the influence of photon number on the fidelity of different quantum states have been discussed.The numerical results show that the greater the photon numbers are,the faster frequency of the oscillation of the fidelity of quantum state becomes.
引文
[1]JOZSA R.Fidelity for Mixes Quantum States[J].J Mod Opt,1994,41(12):2315-2323.
[2]GERSHENFIELD N A,CHUANG I L.Bulk Spin-resonance Quantum Computation[J].Science,1997,275:350-356.
[3]DIVINCENZO D P,BACON D,KEMPE J.Universal Quantum Computation with the Exchange Interaction[J].Nature,2000,408:339-342.
[4]HORODECKI R,HORODECKI M.Information Theoretic Aspecks of Inseparability of Mixed States[J].Phys Rev A,1996,54(3):1838-1843.
[5]WANG Xiangbin,OH C H,KWEK L C.Dures Fidelity of Displaced Squeezed Thermal States[J].Phys Rev A,1998,58(5):4186-4190.
[6]LIU T K,WANG J S,ZHAN M S.The Fidelities of Quantum States of System in Jaynes-Cmmnings Model Containing Atomic Motion[J].J At Mol Phys,2011,28(1):058.
[7]TIAN Y H,XU D H,HAN L B.Fidelity of Quantum Information in a Pair Atoms of Entanglement States Interacting with the Squeezed Vacuum Field[J].J At Mol Phys,2006,23(2):255-260.
[8]张彦立,史严.二项式光场和原子相互作用模型中的保真度[J].河北师范大学学报:自然科学版,2005,27(4):357-360.
[9]ZHOU Bing,YI Yougeng,ZHOU Qingping,et al.The Quantum Information Fidelity of Two-atom Systems of Arbitrary Initial States in QED Cavity Under High Detuned[J].J At Mol Phys,2007,24(4):868-874.
[10]廖庆洪,龚黎华.三个两能级原子与数态场相互作用的纠缠特性[J].光子学报,2012,41(3):348-352.
[11]GARRAWAY B M,SHERMAN B,MOYA-CESSA H,et al.Generation and of Nonclassical Field States by Conditional Measurement Following Two-photon Resonant Interactions[J].Phys Rev A,1994,49(1):535-547.
[12]DUAN L M,GUO G C.Perturbative Expansions for the Fidelities and Spatially Correlated Dissipation of Quantum Bits[J].Phys Rev A,1977,56(6):4466-4470.