在量子信息分裂中利用局部测量提高量子参数估计
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摘要
我们利用多体量子纠缠信道在环境噪声中实现了关于量子相位参量的信息分裂.这个量子信息分裂方案是指从一个发送端,人们将含有信息的任意量子态传输到多个接收端,然后利用么正测量在任意一个接收端上还原量子参量信息.我们发现,在退振幅阻尼噪声通道下,合理引入局部测量能提高量子参量估计精度.当环境表现为马尔科夫性时,经过量子信息分裂,量子参量估计精度的动力学演化会呈现单调衰减趋势.当环境具有一定记忆效应时,其演化会呈现振荡起伏行为.
We realize the quantum information splitting with respect to phase parameter through the quantum channel with multi-partite entangled states in the condition of the environmental noise.The protocol of quantum information splitting is that the information encoded in quantum parameters from a sender can be recovered at any one of many receivers by means of measurements.It is found that a general partial measurement can help to enhance the quantum Fisher information under the influence of amplitude-damping noise.In the Markovian case,the values of quantum Fisher information are decreased monotonically.In the non-Markovian case,there exists the oscillation of quantum Fisher information.
We realize the quantum information splitting with respect to phase parameter through the quantum channel with multi-partite entangled states in the condition of the environmental noise.The protocol of quantum information splitting is that the information encoded in quantum parameters from a sender can be recovered at any one of many receivers by means of measurements.It is found that a general partial measurement can help to enhance the quantum Fisher information under the influence of amplitude-damping noise.In the Markovian case,the values of quantum Fisher information are decreased monotonically.In the non-Markovian case,there exists the oscillation of quantum Fisher information.
引文
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[19]Korotkov A N,Jordan A N.Undoing a weak quantum measurement of a solid-state qubit[J].Phys Rev Lett.2006,97:166805.
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[2]Xing X,Yao Y,Zhong W J,et al.Enhancing teleportation of quantum Fisher information by partial measurements[J].Phys Rev A,2016.93:012307.
[3]Furusawa A,Sorensen J L,Braunstein S L,et al.Unconditional quantum teleportation[J].Science,1998,282:706.
[4]Siomau M,Fritzsche S.Evolution equation for entanglement of multi qubit systems[J].Phys Rev A,2010,82:062327.
[5]薛丽,任一鸣,姜年权.基于腔QED中实现多种量子克隆[J].四川大学学报:自然科学版,2017,54:115.
[6]Gao Y X,Zhou H,Zou D,et al.Preparation of Greenberger-Horne-Zeilinger and W states on a onedimensional Ising chain by global control[J].Phys Rev A,2013,87:032335.
[7]Liu S P,Yu R,Li J H,et al.Generation of a multi-qubit W entangled state through spatially separated semiconductor quantum-dot-molecules in cavity-quantum electrodynamics arrays[J].J Appl Phys,2014,115:134312.
[8]Dai Y,Zhao B X,Hao X,et al.Quantum network teleportation with controllable quantum gates in the channel of asymmetric multipartite entangled states[J].J Quantum Opt,2016,22:341.
[9]Hillery M,Buzek V,Berthiaume A.Quantum secret sharing[J].Phys Rev A,1999,59:1829.
[10]Liu J,Jing X X,Zhong W,Wang X G.Quantum Fisher information for density matrices with arbitrary ranks[J].Commun Theor Phys,2014,61:45.
[11]钟伟,王晓光.量子度量学以及量子Fisher信息的研究[D].杭州:浙江大学,2014.
[12]Petz D,Ghinea C.Introduction to quantum Fisher information[M].Singapore:World Scientific,2011:261.
[13]Weiss U.Quantum dissipative systems[M].Singapore:World Scientific,1999.
[14]Gardiner C W,Zoller P.Quantum Noise[M].Berlin:Springer-Verlag,1999.
[15]Anandan J,Aharonov Y.Geometry of quantum evolution[J].Phys Rev Lett,1990,65:1697.
[16]Paraoanu G S.Generalized partial measurements[J].Europhys Lett,2011,93:64002.
[17]Paraoanu G S.Extraction of information from a single quantum[J].Phys Rev A,2011,83:044101.
[18]Kim Y S,Lee J C,Kwon O,Kim Y H.Protecting entanglement from decoherence using weak measurement and quantum measurement reversal[J].Nature Phys,2012,8:117.
[19]Korotkov A N,Jordan A N.Undoing a weak quantum measurement of a solid-state qubit[J].Phys Rev Lett.2006,97:166805.
[20]Wang S C,Yu Z W.Protecting quantum states from decoherence of finite temperature using weak measurement[J].Phys Rev A,2014,89:022318.
[21]C W Helstrom.Quantum detection and estimation theory[J].J Statist Phys,1969,1:231.
[22]李承祖.量子通信和量子计算[M].长沙:国防科技大学出版社,2000.
[23]Breuer H P,Petruccione F.The theory of open quantum system[M].New York:Oxford University Press,2002.
[24]Breuer H P.Colloquium:Non-Markovian dynamics in open quantum systems[J].Rev Mod Phys,2016,88:021002.