高维受控联合远程态制备
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摘要
融合联合远程制备与受控远程制备的思想,讨论任意d-维量子态联合受控远程制备问题.首先,提出了n+m+1方受控联合制备任意d-维单粒子态协议,该协议以一个n+m+1粒子纯纠缠态为信道,n个发送者预先分享被制备态的信息.第一个发送者利用原始态的信息对其粒子进行正定算子值测量(POVM),其余发送者对各自粒子采用投影测量.若控制者们许可接受者获取原始量子秘密,则需对各自粒子进行投影测量,接受者利用相应的酉变换就能以一定的概率重构原始量子态.其次,将上述方案推广到d-维任意q-粒子态的制备情形,获得了多方受控联合高维多粒子态制备的一般方案.
Fusing with the idea of joint remote preparation and controlled remote preparation,the problems of controlled joint remote preparation of arbitrary d-dimensional quantum states are discussed.Firstly,an+m +1-party controlled joint preparation protocol for arbitrary d-dimensional single-particle state is proposed.The protocol uses a pure entangled state of n+m+1-particles as the channel,and nsenders share the information of the prepared state in advance.The first sender performs POVM on her particle according to her knowledge of the original state,the remaining senders use projection measurement for their respective particles.The controllers allow the recipients to obtain the original quantum secret and measure the projection of their respective particles.The recipients can reconstruct the original quantum state with a certain probability by using the corresponding unitary transformation.Secondly,the above scheme is extended to the preparation of d-dimensional arbitrary q-particle states,and a general scheme of multi-party controlled joint remote preparation of high-dimensional and multiparticle states is thus obtained.
Fusing with the idea of joint remote preparation and controlled remote preparation,the problems of controlled joint remote preparation of arbitrary d-dimensional quantum states are discussed.Firstly,an+m +1-party controlled joint preparation protocol for arbitrary d-dimensional single-particle state is proposed.The protocol uses a pure entangled state of n+m+1-particles as the channel,and nsenders share the information of the prepared state in advance.The first sender performs POVM on her particle according to her knowledge of the original state,the remaining senders use projection measurement for their respective particles.The controllers allow the recipients to obtain the original quantum secret and measure the projection of their respective particles.The recipients can reconstruct the original quantum state with a certain probability by using the corresponding unitary transformation.Secondly,the above scheme is extended to the preparation of d-dimensional arbitrary q-particle states,and a general scheme of multi-party controlled joint remote preparation of high-dimensional and multiparticle states is thus obtained.
引文
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[26]BICH C T,HOP N V,NGUYEN B A.Flexible controlled joint remote preparation of an arbitrary two-qubit state via non-maximally entangled quantum channels[J].Advances in Natural Sciences Nanoscience &Nanotechnology,2016,7(2):025007.
[27]DONG J,TENG J F.Controlled teleportation of an arbitrary n-qudit state using nonmaximally entangled GHZ states[J].European Physical Journal D,2008,49(1):129-134.
[28]LI S W,JIANG M,JIANG F,et al.Multi-qudit information splitting with multiple controllers[J].Quantum Information Processing,2014,13(5):1057-1066.
[29]WEI Y Z,JIANG M.Multi-qudit state sharing via various high-dimensional Bell channels[J].Quantum Information Processing,2015,14(3):1091-1102.
[30]QIN H W,DAI Y W.d-Dimensional quantum state sharing with adversary structure[J].Quantum Information Processing,2016,15(4):1689-1701.
[31]ZHOU P.Joint remote preparation of an arbitrary mqudit state with a pure entangled quantum channel via positive operator-valued measurement[J].Journal of Physics A:Mathematical and Theoretical,2012,45(21):215305-215315.
[32]LI Z,ZHOU P.Probabilistic multiparty-controlled remote preparation of an arbitrary m-qudit state via positive operator-valued measurement[J].International Journal of Quantum Information,2012,10(5):1250062.
[33]ZHOU P,LI H W,Long L R.Probabilistic multiparty joint remote preparation of an arbitrary m-qudit state with a pure entangled quantum channel against collective noise[J].Internal Journal of Theoretical Physics,2013,52(3):849-861.
[34]彭家寅.高维单粒子受控隐形传态[J].内江师范学院学报,2019,34(2):43-47.
[2]PENG J Y,LUO M X,MO Z W.Quantum tasks with non-maximally quantum channels via positive operatorvalued measurement[J].International Journal of Theoretical Physics,2013,52(1):253-265.
[3]OLMSCHENK S,MATSUKEVICH D N,MAUNZ P,et al.Quantum teleportation between distant matter qubits[J].Science,2009,323(5913):486.
[4]PENG J Y,MO Z W.Several teleportation schemes of an arbitrary unknown multi-particle state via different quantum channels[J].Chinese Physics B,2013,22(5),050310.
[5]BOUWMEESTER D,PAN J W,MATTLE K,et al.Experimental quantum teleportation[J].Nature,1997,390(6660):575.
[6]CHEN Y.Bidirectional quantum controlled teleportation by using agenuine six-qubit entangled state[J].International Journal of Theoretical Physics,2014,54(1):269-272.
[7]YANG C P,CHU S I,HAN S Y.Efficient many-party controlled teleportation of multiqubit quantum information via entanglement[J].Physical Review A,2004,70(2):022329.
[8]DENG F G,LI C Y,LI Y S,et al.Controlled teleportation of an arbitrary two-particle entangled state with two Greenberger-Horne-Zeilinger states and Bell-basis measurements,and its application in quantum secret sharing[J].IEEE Journal of Quantum Electronics,2005,9(12):1135-1138.
[9]ZHOU P,LI X H,DENG F G,Zhou H Y.Multipartycontrolled teleportation of an arbitrary m-qudit state with a pure entangled quantum channel[J].Journal of Physics:A Mathematical and Theoretical,2007,40(43):13121-13130.
[10]DONG J,TENG J F.Controlled teleportation of an arbitrary n-qudit state using nonmaximally entangled GHZ states[J].European Physical Journal D,2008,49(1):129-134.
[11]HOU K,LIU G H,ZHANG X Y,et al.An efficient scheme for five-part quantum state sharing of an arbitrary m-qubit state using multiqubit cluster states[J].Quantum Information Precossing,2011,10:463-473.
[12]ZHANG X,TAN X,LIANG C.High Efficient Multiparty Quantum Secret Sharing Scheme[C]//International Conference on P2P.IEEE Computer Society,2014:245-250.
[13]PENG J Y,MO Z W.Quantum Sharing an unknown Multi-particle state via POVM[J].International Journal of Theoretical Physics,2013,52(2):620-633.
[14]MURALIDHARAN S,PANIGRAHI P K.Quantum-information splitting using multipartite cluster states[J].Physical Review A,2008,78(6):062333.
[15]LO H K.Classical-communication cost indistributed quantum-information processing:A generalization of quantum-communication complexity[J].Physical Review A,2000,62(1):012313.
[16]PATI A K.Minimum classical bit for remote preparation and measurement of a qubit[J].Physical Review A,2000,63(1):014302.
[17]PENG X,ZHU X,FANG X,et al.Experimental implementation of remote state preparation by nuclear magnetic resonance[J].Physics Letters A,2012,306(5):271-276.
[18]GUO Y X,JIAN L,BO Y,et al.Remote preparation of mixed states via noisy entanglement[J].Physical Review A,2005,72(1):012315.
[19]PENG J Y,BEI M Q,MO Z W.Joint remote state preparation of a four-dimensional quantum state[J].Chinese Physics Letters,2014,31(1):010301.
[20]LI J P.Remote Preparation of an Arbitrary Two-atom State in the Cavity QED[J].International Journal of Theoretical Physics,2016,55(11):4699-4701.
[21]WU W,LIU W T,CHEN P X,et al.Deterministic remote preparation of pure and mixed polarization states[J].Physical Review A,2010,81(4):042301.
[22]PENG J Y,LUO M X,MO Z W,et al.Joint remote prepartion of arbitrary three-qubit states[J].Modern Physics Letters B,2013,27(22),1350160.
[23]AN N B.Joint remote stste preparation via W and Wtype states[J].Optics Communications,2010,283(20):4113-4117.
[24]LI J F,LIU J M,FENG X L,et al.Deterministic remote two-qubit state preparation in dissipative environments[J].Quantum Information Processing,2016,15(5):1-14.
[25]CHEN N,QUAN D X,YANG H,et al.Deterministic controlled remote state preparation using partially entangled quantum channel[J].Quantum Information Processing,2016,15(4):1-11.
[26]BICH C T,HOP N V,NGUYEN B A.Flexible controlled joint remote preparation of an arbitrary two-qubit state via non-maximally entangled quantum channels[J].Advances in Natural Sciences Nanoscience &Nanotechnology,2016,7(2):025007.
[27]DONG J,TENG J F.Controlled teleportation of an arbitrary n-qudit state using nonmaximally entangled GHZ states[J].European Physical Journal D,2008,49(1):129-134.
[28]LI S W,JIANG M,JIANG F,et al.Multi-qudit information splitting with multiple controllers[J].Quantum Information Processing,2014,13(5):1057-1066.
[29]WEI Y Z,JIANG M.Multi-qudit state sharing via various high-dimensional Bell channels[J].Quantum Information Processing,2015,14(3):1091-1102.
[30]QIN H W,DAI Y W.d-Dimensional quantum state sharing with adversary structure[J].Quantum Information Processing,2016,15(4):1689-1701.
[31]ZHOU P.Joint remote preparation of an arbitrary mqudit state with a pure entangled quantum channel via positive operator-valued measurement[J].Journal of Physics A:Mathematical and Theoretical,2012,45(21):215305-215315.
[32]LI Z,ZHOU P.Probabilistic multiparty-controlled remote preparation of an arbitrary m-qudit state via positive operator-valued measurement[J].International Journal of Quantum Information,2012,10(5):1250062.
[33]ZHOU P,LI H W,Long L R.Probabilistic multiparty joint remote preparation of an arbitrary m-qudit state with a pure entangled quantum channel against collective noise[J].Internal Journal of Theoretical Physics,2013,52(3):849-861.
[34]彭家寅.高维单粒子受控隐形传态[J].内江师范学院学报,2019,34(2):43-47.