Teleportation of an N -photon Greenberger-Horne-Zeilinger (GHZ) polarization-entangled state using linear optical elements

With one pair of photons' polarization-entangled state as the quantum channel, we present an explicit generalized linear optical protocol for perfectly teleporting an N-photon Greenberger-Horne-Zeilinger (GHZ) polarization-entangled state from a sender to a receiver using only one two-photon polarization-entangled state as the quantum channel. This protocol has the advantage of transmitting much fewer photons and classical information for teleporting the N-photon GHZ polarization-entangled state than others, and the proposed setup involves simple linear optical elements, photon polarization-entangled states, and conventional photon detectors. These make the present protocol more realizable in experiments.

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

[2]  Vaidman.  Teleportation of quantum states. , 1993, Physical review. A, Atomic, molecular, and optical physics.

[3]  Charles H. Bennett,et al.  Purification of noisy entanglement and faithful teleportation via noisy channels. , 1995, Physical review letters.

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

[5]  M. Bourennane,et al.  Quantum teleportation using three-particle entanglement , 1998 .

[6]  F. Martini,et al.  Experimental Realization of Teleporting an Unknown Pure Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels , 1997, quant-ph/9710013.

[7]  H. Kimble,et al.  Teleportation of continuous quantum variables , 1998, Technical Digest. Summaries of Papers Presented at the International Quantum Electronics Conference. Conference Edition. 1998 Technical Digest Series, Vol.7 (IEEE Cat. No.98CH36236).

[8]  Shigeki Takeuchi,et al.  Multiphoton detection using visible light photon counter , 1999 .

[9]  Jaewan Kim,et al.  Quantum teleportation and Bell’s inequality using single-particle entanglement , 2000 .

[10]  H. Weinfurter,et al.  Experimental test of quantum nonlocality in three-photon Greenberger–Horne–Zeilinger entanglement , 2000, Nature.

[11]  G. Long,et al.  Efficient scheme for initializing a quantum register with an arbitrary superposed state , 2001, quant-ph/0104030.

[12]  K. B. Whaley,et al.  Theory of decoherence-free fault-tolerant universal quantum computation , 2000, quant-ph/0004064.

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

[14]  Arun K. Pati,et al.  Probabilistic Quantum Teleportation , 2002, quant-ph/0210004.

[15]  D. James,et al.  Atomic-vapor-based high efficiency optical detectors with photon number resolution. , 2002, Physical review letters.

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

[17]  Jinhyoung Lee,et al.  Multipartite entanglement for entanglement teleportation , 2002, quant-ph/0201069.

[18]  Zeng Bei,et al.  High-Dimensional Multi-particle Cat-Like State Teleportation , 2002 .

[19]  Yong Wook Cheong,et al.  Generalized measurement and conclusive teleportation with nonmaximal entanglement , 2004 .

[20]  Christian Kurtsiefer,et al.  Experimental realization of a three-qubit entangled W state. , 2004, Physical review letters.

[21]  G. Rigolin.  Quantum teleportation of an arbitrary two-qubit state and its relation to multipartite entanglement , 2004, quant-ph/0407219.

[22]  Chuan Wang,et al.  Multi-step quantum secure direct communication using multi-particle Green–Horne–Zeilinger state , 2005 .

[23]  Gilles Brassard,et al.  Quantum Cryptography , 2005, Encyclopedia of Cryptography and Security.

[24]  Yan Xia,et al.  Probabilistic teleportation of an arbitrary three-particle state via a partial entangled four-particle state and a three-particle GHZ state , 2005 .

[25]  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.

[26]  Gustavo Rigolin,et al.  Generalized teleportation protocol , 2006 .

[27]  Gustavo Rigolin,et al.  Generalized quantum-state sharing , 2006 .

[28]  Y. Yeo,et al.  Teleportation and dense coding with genuine multipartite entanglement. , 2005, Physical review letters.

[29]  Yan Xia,et al.  Controlled quantum secure direct communication using a non-symmetric quantum channel with quantum superdense coding , 2007 .

[30]  Long Gui-lu,et al.  Quantum Key Distribution Network Based on Differential Phase Shift , 2007 .

[31]  S. Deleglise,et al.  Quantum jumps of light recording the birth and death of a photon in a cavity , 2006, Nature.

[32]  Jie Song,et al.  Re-examining generalized teleportation protocol ☆ , 2007 .

[33]  Jörg Schmiedmayer,et al.  Demonstration of a stable atom-photon entanglement source for quantum repeaters. , 2007, Physical review letters.

[34]  Deng Fu-Guo,et al.  Probabilistic teleportation of an arbitrary GHZ-class state with a pure entangled two-particle quantum channel and its application in quantum state sharing , 2007 .

[35]  Jie Song,et al.  Linear optical protocol for preparation of N-photon Greenberger–Horne–Zeilinger state with conventional photon detectors , 2008 .

[36]  Shou Zhang,et al.  Controlled generation of four-photon polarization-entangled decoherence-free states with conventional photon detectors , 2009 .