JOINT REMOTE PREPARATION OF A MULTI-QUBIT GHZ-CLASS STATE VIA BIPARTITE ENTANGLEMENTS

By joint actions of two separate two-qubit projective measurements, I present a new protocol for remotely preparing a two-qubit state via the shared three bipartite entanglements. The success probability and the classical communication cost are also minutely calculated. Then I concisely generalize it to multi-party case and multi-qubit state case, respectively. In contrast to the previous schemes [Int. J. Theor. Phys.48 (2009) 2005; Int. J. Theor. Phys.46 (2007) 2378; Commun. Theor. Phys.47 (2007) 247], this protocol has distinct advantages overwhelming the above ones as far as quantum resource consumption and quantum operation difficulty or intensity are concerned.

[1]  P. Hayden,et al.  Generalized remote state preparation: Trading cbits, qubits, and ebits in quantum communication , 2003, quant-ph/0308143.

[2]  Fengli Yan,et al.  REMOTE PREPARATION OF THE TWO-PARTICLE STATE , 2008 .

[3]  Liu Yimin,et al.  Controlled Remote State Preparation , 2009 .

[4]  Zhang Ming,et al.  Classical Communication Cost and Remote Preparation of Multi-qubit with Three-Party , 2008 .

[5]  B. A. Nguyen,et al.  Joint remote state preparation , 2008 .

[6]  S. A. Babichev,et al.  Remote preparation of a single-mode photonic qubit by measuring field quadrature noise. , 2003, Physical review letters.

[7]  Nguyen Ba An,et al.  COLLECTIVE REMOTE STATE PREPARATION , 2008 .

[8]  Guang-Can Guo,et al.  Conclusive teleportation and entanglement concentration , 2002 .

[9]  M. Luo,et al.  Deterministic remote preparation of an arbitrary W-class state with multiparty , 2010 .

[10]  Z. Kurucz,et al.  Continuous variable remote state preparation , 2005, quant-ph/0510074.

[11]  C. H. Bennett,et al.  Remote state preparation. , 2000, Physical review letters.

[12]  Guang-Can Guo,et al.  Probabilistic teleportation of two-particle entangled state , 2000 .

[13]  Yan Feng-li,et al.  Probabilistic Teleportation of an Unknown Two-Particle State with a Four-Particle Pure Entangled State and Positive Operator Valued Measure , 2006 .

[14]  A. Acín.  Statistical distinguishability between unitary operations. , 2001, Physical review letters.

[15]  B. Zeng,et al.  Remote-state preparation in higher dimension and the parallelizable manifold Sn-1 , 2001, quant-ph/0105088.

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

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

[18]  Ping Zhou,et al.  Multiparty-controlled teleportation of an arbitrary m-qudit state with a pure entangled quantum channel , 2007, 0705.2660.

[19]  H. Weinfurter,et al.  Observation of three-photon Greenberger-Horne-Zeilinger entanglement , 1998, quant-ph/9810035.

[20]  N. An.  Joint remote preparation of a general two-qubit state , 2009 .

[21]  Dong Wang,et al.  Remote preparation of a class of three-qubit states , 2008 .

[22]  H. Weinfurter,et al.  Experimental quantum teleportation , 1997, Nature.

[23]  Zhang-Yin Wang,et al.  Symmetric Remote Single-Qubit State Preparation via Positive Operator-Valued Measurement , 2010 .

[24]  Yan Xia,et al.  Multiparty remote state preparation , 2007 .

[25]  H. Briegel,et al.  Experimental demonstration of five-photon entanglement and open-destination teleportation , 2004, Nature.

[26]  Debbie W. Leung,et al.  Remote preparation of quantum states , 2005, IEEE Transactions on Information Theory.

[27]  G Weihs,et al.  Experimental demonstration of four-photon entanglement and high-fidelity teleportation. , 2001, Physical review letters.

[28]  C. H. Oh,et al.  Remote preparation of a three-particle state via positive operator-valued measurement , 2009 .

[29]  B. Shi,et al.  Remote state preparation of an entangled state , 2002 .

[30]  Yanxia Huang,et al.  Remote preparation of multipartite pure state , 2004 .

[31]  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.

[32]  You-Bang Zhan,et al.  Scheme for remotely preparing a four-particle entangled cluster-type state , 2010 .

[33]  M. Goggin,et al.  Remote state preparation: arbitrary remote control of photon polarization. , 2005, Physical review letters.

[34]  G. Guo,et al.  Faithful remote state preparation using finite classical bits and a nonmaximally entangled state , 2003, quant-ph/0307027.

[35]  Guo-fang Shi.  QUANTUM KEY DISTRIBUTION AND REMOTE STATE PREPARATION VIA CLUSTER STATE , 2010 .

[36]  Liu Jin-Ming,et al.  Probabilistic remote state preparation by W states , 2004 .

[37]  Yafei Yu,et al.  Preparing remotely two instances of quantum state , 2003, quant-ph/0302170.

[38]  Jin-Ming Liu,et al.  Remote preparation of arbitrary two- and three-qubit states , 2009 .

[39]  A. Pati.  Minimum classical bit for remote preparation and measurement of a qubit , 1999, quant-ph/9907022.

[40]  Guang-Can Guo,et al.  Probabilistic teleportation and entanglement matching , 2000 .

[41]  Liu Jin-Ming,et al.  Quantum Teleportation of a Three-Particle Entangled State , 2002 .

[42]  M. Paris,et al.  Remote state preparation and teleportation in phase space , 2002, quant-ph/0209168.

[43]  Kimble,et al.  Unconditional quantum teleportation , 1998, Science.

[44]  Jie Song,et al.  MULTIPARTY REMOTE STATE PREPARATION WITH LINEAR OPTICAL ELEMENTS , 2008 .

[45]  A. Hayashi,et al.  Remote state preparation without oblivious conditions , 2002, quant-ph/0205009.

[46]  D. Berry.  Resources required for exact remote state preparation , 2004, quant-ph/0404004.

[47]  Hong-Yi Dai,et al.  Classical communication cost and remote preparation of the four-particle GHZ class state , 2006 .

[48]  G. Guo,et al.  Remote preparation of mixed states via noisy entanglement (6 pages) , 2005, quant-ph/0503088.

[49]  Yixian Yang,et al.  Joint Remote Preparation of an Arbitrary Three-Qubit State with Mixed Resources , 2010, International Journal of Theoretical Physics.

[50]  Z. Kurucz,et al.  General criterion for oblivious remote state preparation , 2006 .

[51]  Xiao-Qi Xiao,et al.  Remote Preparation of a Two-Particle Entangled State via Two Tripartite W Entangled States , 2003 .

[52]  Yiping Lu,et al.  Joint Remote Preparation of a Multipartite GHZ-class State , 2009 .

[53]  E. Knill,et al.  Complete quantum teleportation using nuclear magnetic resonance , 1998, Nature.

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

[55]  M. Luo,et al.  Remote Preparation of an Arbitrary Two-Qubit State with Three-Party , 2010 .

[56]  Gilad Gour,et al.  Remote preparation and distribution of bipartite entangled states. , 2004, Physical review letters.

[57]  H. Lo.  Classical-communication cost in distributed quantum-information processing: A generalization of quantum-communication complexity , 1999, quant-ph/9912009.

[58]  K. Audenaert,et al.  Entanglement cost under positive-partial-transpose-preserving operations. , 2003, Physical review letters.

[59]  Zhong-Xiao Man,et al.  Quantum teleportation of an unknown N-Qubit W-Like state , 2007 .

[60]  He-Shan Song,et al.  Remote preparation of a qudit using maximally entangled states of qubits , 2006, quant-ph/0603036.

[61]  Jie Song,et al.  Remote preparation of the N-particle GHZ state using quantum statistics , 2007 .

[62]  N. An.  Joint remote state preparation via W and W-type states , 2010 .

[63]  Xiao Xiao-Qi,et al.  Remote Preparation of a Two-Particle Entangled State by a Bipartite Entangled State and a Tripartite Entangled W State , 2007 .

[64]  Yu-zhu Wang,et al.  Remote preparation of a two-particle entangled state , 2003 .

[65]  Nguyen Ba An.  Probabilistic teleportation of an M-quNit state by a single non-maximally entangled quNit-pair , 2008 .

[66]  K. Gao,et al.  Experimental implementation of remote state preparation by nuclear magnetic resonance , 2002, quant-ph/0202004.

[67]  Fuguo Deng,et al.  Symmetric multiparty-controlled teleportation of an arbitrary two-particle entanglement , 2005, quant-ph/0501129.