Quantum information splitting of an arbitrary three-qubit state by using two four-qubit cluster states

A new application of the four-qubit cluster state is investigated for quantum information splitting (QIS) of an arbitrary three-qubit state. Muralidharan and Panigrahi (Phys Rev A 78:062333, 2008) argued that a four-qubit cluster state is impossible for QIS of an arbitrary two-qubit state. In this paper, we demonstrate that two four-qubit cluster states can be used to realize the deterministic QIS of an arbitrary three-qubit state by performing only the Bell-state measurements. Our scheme considered here is secure against certain eavesdropping attacks.

[1]  M. Koashi,et al.  Quantum entanglement for secret sharing and secret splitting , 1999 .

[2]  P. Panigrahi,et al.  Quantum teleportation and state sharing using a genuinely entangled six-qubit state , 2008, 0811.2576.

[3]  Fuguo Deng,et al.  Multiparty quantum-state sharing of an arbitrary two-particle state with Einstein-Podolsky-Rosen pairs (4 pages) , 2005, quant-ph/0504158.

[4]  V. Buzek,et al.  Quantum secret sharing , 1998, quant-ph/9806063.

[5]  Zhong-Xiao Man,et al.  Genuine multiqubit entanglement and controlled teleportation , 2007 .

[6]  P. Panigrahi,et al.  Quantum-information splitting using multipartite cluster states , 2008, 0802.0781.

[7]  P. Panigrahi,et al.  Perfect teleportation, quantum-state sharing, and superdense coding through a genuinely entangled five-qubit state , 2007, 0708.3785.

[8]  Jianxing Fang,et al.  Probabilistic teleportation of a three-particle state via three pairs of entangled particles , 2003 .

[9]  Chui-Ping Yang,et al.  Efficient many-party controlled teleportation of multiqubit quantum information via entanglement , 2004, quant-ph/0402138.

[10]  Charles H. Bennett,et al.  Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels. , 1993, Physical review letters.

[11]  Fengli Yan,et al.  Probabilistic and controlled teleportation of unknown quantum states , 2003 .

[12]  Anders Karlsson,et al.  Quantum Teleportation using Three Particle Entanglement , 1998, Technical Digest. 1998 EQEC. European Quantum Electronics Conference (Cat. No.98TH8326).

[13]  M. Murao,et al.  Quantum telecloning and multiparticle entanglement , 1998, quant-ph/9806082.

[14]  R Raussendorf,et al.  A one-way quantum computer. , 2001, Physical review letters.

[15]  Binbin Zhang,et al.  Economic and Deterministic Quantum Teleportation of Arbitrary Bipartite Pure and Mixed State with Shared Cluster Entanglement , 2009 .

[16]  K.J.Resch,et al.  Experimental One-Way Quantum Computing , 2005, quant-ph/0503126.

[17]  A. Pati,et al.  Perfect teleportation and superdense coding with W states , 2006, quant-ph/0610001.

[18]  W. Dur,et al.  Entanglement properties of multipartite entangled states under the influence of decoherence , 2005 .

[19]  Lu Hong.  Probabilistic Teleportation of the Three-Particle Entangled State via Entanglement Swapping , 2001 .

[20]  R. Cleve,et al.  HOW TO SHARE A QUANTUM SECRET , 1999, quant-ph/9901025.

[21]  Zhuo-Liang Cao,et al.  Generation of cluster states , 2006 .

[22]  Kui Hou,et al.  Quantum state sharing with a genuinely entangled five-qubit state and Bell-state measurements , 2010 .

[23]  Guang-can Guo,et al.  A Proposal of Teleportation for Three-Particle Entangled State , 1999 .

[24]  Zhao-Hui Peng,et al.  Scheme for implementing controlled teleportation and dense coding with genuine pentaqubit entangled state in cavity QED , 2009 .

[25]  Xiao-jie Yi,et al.  Non-Maximally Entangled Controlled Teleportation Using Four Particles Cluster States , 2009 .

[26]  Dirk Schlingemann,et al.  Quantum error-correcting codes associated with graphs , 2000, ArXiv.

[27]  Wang Xin-wen,et al.  Generation of a Four-Particle Cluster State and Perfect Teleportation of an Arbitrary Two-Particle State in an Ion-Trap System , 2009 .

[28]  Prasanta K. Panigrahi,et al.  Splitting of quantum information using N-qubit linear cluster states , 2009, 0904.0563.

[29]  H. Briegel,et al.  Persistent entanglement in arrays of interacting particles. , 2000, Physical review letters.