压缩真空中二能级系统的量子Fisher信息
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摘要
研究压缩真空环境下二能级系统的相位参数估计,考察压缩态参数N和相位参数?取值的不同对量子Fisher信息的影响,重点讨论提高参数估计精度的办法。结果表明:二能级系统相位参数估计的量子Fisher信息随时间衰减,随压缩相位参数?周期性变化。当压缩参数N取值较大时,量子Fisher信息衰减缓慢,二能级系统的相位估计精度高。
This paper studied estimation of the phase parameter of a two-state system in a squeezed bath,investigated the effects of the parameter N and the squeezing phase ? of the squeezed bath on quantum Fisher information,and focused on the enhancement of the estimation precision.The results showed that,the quantum Fisher information decays with time and changes periodically with the squeezing phase ?.When the value of the squeezing parameter Nis larger,the quantum Fisher information decays more slowly and the estimation precision can be enhanced.
This paper studied estimation of the phase parameter of a two-state system in a squeezed bath,investigated the effects of the parameter N and the squeezing phase ? of the squeezed bath on quantum Fisher information,and focused on the enhancement of the estimation precision.The results showed that,the quantum Fisher information decays with time and changes periodically with the squeezing phase ?.When the value of the squeezing parameter Nis larger,the quantum Fisher information decays more slowly and the estimation precision can be enhanced.
引文
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[18]Zhong W,Sun Z,Ma J,et al.Fisher Information under Decoherence in Bloch Representation[J].Phys Rev A,2013,87:022337.DOI:https:∥doi.org/10.1103/PhysRevA.87.022337.
[2]Li N,Luo S.Entanglement Detection via Quantum Fisher Information[J].Phys Rev A,2013,88:014301.DOI:https:∥doi.org/10.1103/PhysRevA.88.014301.
[3]Xiao X,Yao Y,Zhong W J,et al.Enhancing Teleportation of Quantum Fisher Information by Partial Measurements[J].Phys Rev A,2016,93:012307.DOI:https:∥doi.org/10.1103/PhysRevA.93.012307.
[4]Taddei M M,Escher B M,Davidovich L,et al.Quantum Speed Limit for Physical Processes[J].Phys Rev Lett,2013,110:050402.DOI:https:∥doi.org/10.1103/PhysRevLett.110.050402.
[5]Chen Y,Zou J,Long Z,et al.Protecting Quantum Fisher Information of N-qubit GHZ State by Weak Measurement with Flips Against Dissipation[J].Sci Rep,2017,7:6160.DOI:https:∥doi.org/10.1038/s41598-017-04726-1.
[6]Altintas A A.Quantum Fisher Information of an Open and Noisy System in the Steady State[J].Ann Phys,2016,367:192.DOI:https:∥doi.org/10.1016/j.aop.2016.01.016.
[7]Li Y L,Xiao X,Yao Y.Classical-driving-enhanced Parameter-estimation Precision of a Non-Markovian Dissipative Twostate System[J].Phys Rev A,2015,91:052105.DOI:https:∥doi.org/10.1103/PhysRevA.91.052105.
[8]Huang Z.Protecting Quantum Fisher Information in Curved Space-time[J].Eur Phys J Plus,2018,133:101.DOI:https:∥doi.org/10.1140/epjp/i2018-11936-9.
[9]Erol V.Quantum Fisher Information of Decohered W and GHZ Superposition States with Arbitrary Relative Phase[J].Int J Theor Phys,2017,56:3202.DOI:https:∥doi.org/10.1007/s10773-017-3487-3.
[10]Ren Y K,Wang X L,Zeng H S.Protection of Quantum Fisher Information for Multiple Phases in Open Quantum Systems[J].Quant Inf Process,2018,17:5.DOI:https:∥doi.org/10.1007/s11128-017-1773-x.
[11]Milburn G J,Braunstein S L.Quantum Teleportation with Squeezed Vacuum States[J].Phys Rev A,1999,60:937.DOI:https:∥doi.org/10.1103/PhysRevA.60.937.
[12]Hillery M.Quantum Cryptography with Squeezed States[J].Phys Rev A,1999,61:022309.DOI:https:∥doi.org/10.1103/PhysRevA.61.022309.
[13]Andersen U L,Gehring T,Marquardt C,et al.30 Years of Squeezed Light Generation[J].Phys Scr,2016,91:053001.DOI:10.1088/0031-8949/91/5/053001.
[14]De Souza D D,Vidiella-Barranco A.Quantum Phase Estimation with Squeezed Quasi-Bell States[J].arXiv:1609.00370v2.http:∥cn.arxiv.org/pdf/1609.00370.
[15]Gardiner C W.Inhibition of Atomic Phase Decays by Squeezed Light:A Direct Effect of Squeezing[J].Phys Rev Lett,1986,56:1917.DOI:https:∥doi.org/10.1103/PhysRevLett.56.1917.
[16]Orszag M,Quantum Optics[M].Springer,Berlin,2007:55-68.
[17]Helstrom C W.Quantum Detection and Estimation Theory[J].J Stat Phys June,1969,1:231.DOI:https:∥doi.org/10.1007/BF01007479.
[18]Zhong W,Sun Z,Ma J,et al.Fisher Information under Decoherence in Bloch Representation[J].Phys Rev A,2013,87:022337.DOI:https:∥doi.org/10.1103/PhysRevA.87.022337.