A Quantum-information splitting scheme based on non-maximally six-qubit cluster state

Abstract

Abstract: A generalized tripartite scheme is proposed for splitting an arbitrary two-qubit state by utilizing six-qubit non-maximally cluster states as quantum channel. It is shown that the splitter averagely partitions its unknown two-qubit state between two agents and either agent can recover the unknown state with the other agent’s assistance via appropriate unitary operation. A generalized Bell state measurement (GBM) and a single-particle measurement (SM) are needed in our scheme. In order to obtain the original state, we introduces an auxiliary particle and Select a suitable entangled match. The probability of the successful Quantum-information splitting(QIS) and classical communication cost are worked out, If the quantum channel consists of maximally state, the classical information will consume 14 bits , and the total probability of QIS will equal 1.

Key words: quantum optics, quantum-information splitting, multipartite cluster states, Bell measurement, classical communication cost

CLC Number:

O431.2

HOU Kui. A Quantum-information splitting scheme based on non-maximally six-qubit cluster state[J]. J4, 2013, 30(4): 455-460.

References

[1] Charles H. Bennett, Gilles Brassard, Claude Crépeau, Richard Jozsa, Asher Peres, and William K. Wootters. Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels [J]. Phys. Rev. Lett, 1993, 70: 1895-1899
[2] Charles H. Bennett, Stephen J. Wiesner. Communication via one- and two-particle operators on Einstein-Podolsky-Rosen states [J]. Phys. Rev. Lett. 1992，69： 2881 -2884
[3] N. Gisin,S. Massar. Optimal Quantum Cloning Machines [J]. Phys. Rev. Lett., 79, 2153–2156.
[4] Hou kui, Wang Jing, Yuan Hao, Shi Shou-Hua. Assisted cloning of a class of unknown three-qubit GHZ state [J]. Chinese Journal of Quantum Electronics(量子电子学报), 2009,26(1) : 56(in Chinese).
[5] Lo, H.K. Classical-communication cost in distributed quantum-information processing: A generalization of Quantum communication complexity [J] Phys. Rev. A,2000,62, 012313.
[6]A.K. Pati.. Minimum classical bit for remote preparation and measurement of a qubit [J]. Phys. Rev. A,2001,63, 014302.
[7] M.Hillery, V. Buzek, A .Berthiaume,.Quantum secret sharing [J]. Phys. Rev. A 1999, 59, 1829 .
[8] Karlsson, A., Koashi, M., Imoto, N. Quantum entanglement for secret sharing and secret splitting[J]. Phys. Rev. A,1999, 59, 162.
[9] Bostrom K, Felbinger T. Deterministic Secure Direct Communication Using Entanglement[J]. Physical Review Letter, 2002, 89: 187902.
[10] D.Gottesman. Theory of quantum secret sharing [J]. Phys. Rev. A ., 2000, 61, 042311.
[11] Wang J, Zhang Q, Tang C J. Quantum Secure Direct Communication Based on Order Rearrangement of Single Photons [J]. Physical Review A, 2006,358: 256-258.
[12] Deng Fu-Guo., et al. Bidirectional quantum secret sharing and secret splitting with polarized single photons[J]. Phys. Lett. A, 2005,337, 329.
[13] 龙桂鲁,王川,李岩松,邓富国. 量子安全直接通信 [J]. 中国科学,2011,41: 332-342.
[14] Lance A.M, Symal T, Bowen W.P, Sanders B.C, Lam P.K. Tripartite Quantum State Sharing[J].Phys. Rev. Lett,2004, 92: 177903
[15] Deng, Fu-Guo.et al. Multiparty quantum-state sharing of an arbitrary two-particle state with Einstein-Podolsky-Rosen pairs [J]. Phys. Rev. A, 2005, 72, 044301.
[16] Li Xi-Hn. et al. Efficient symmetric multiparty quantum state sharing of an arbitrary m-qubit state [J]. J. Phys. B, 2006, 39, 1975.
[17] Zheng, S.B. Splitting quantum information via W states [J]. Phys. Rev. A, 2006, 74:054303.
[18] Hou, Kui., Li Yi-.Bao, Shi Shou-Hua.. Quantum state sharing with a genuinely entangled five-qubit state and Bell-state measurements [J]. Opt. Commun. 2010,283, 1961-1965.
[19] Gordon, G., Rigolin. Generalized quantum-state sharing [J]. Phys. Rev. A, 2006, 73: 062316
[20] Muralidharan, S., Panigrahi, P.K. Quantum-information splitting using multipartite cluster states [J]. Phys. Rev. A,2008, 78:062333
[21] Wang Xin-Wen , Zhang Deng-Yu , Tang Shi-Qing, Xie .Entanglement Swapping for Cluster-Class States and Its Applications in Quantum Information Processing [J]. Int. J. Theor. Phys, 2012, 6:51, 1978-1988
[22] Dai, H.Y., Chen, P.X., Liang, L.M., Li, C.Z.: Classical communication cost and remote preparation of the four-particle GHZ class state [J]. Phys. Lett. A ，2006，355：285-288.
[23] Li Wan-Li , Li Chuan-Feng, Guo Guang-Can . Probabilistic teleportation and entanglement matching [J]. Phys.Rev.A, 2000, 61: 034301.
[24] Zhang Ming, Dai Hong-Yi, Chen Ping-Xing, Li Cheng-Zu. Remote preparation of an entangled two-qubit state with three parties [J]. Chin. Phys. B,2008, 17, 27-33.
[25] Xia Yia, Song Jie, Song He-Shan. Classical Communication Help and Probabilistic Teleportation with One-Dimensional Non-maximally Entangled Cluster States[J]. Int. J. Theor. Phys, 2008, 47: 1552 -1558
[26] Hou Kui, Wang Jing, Lu, Yi-.Lin, Shi Shi-.Hou. Joint Remote Preparation of a Multipartite GHZ-class State[J]. Int. J. Theor. Phys, 2009, 48:2005-2015.