Complete Greenberger–Horne–Zeilinger state analyzer using hyperentanglement

In this paper, a scheme for N-photon Greenberger–Horne–Zeilinger (GHZ) state analysis using hyperentangled states in multiple degrees of freedom with only linear optics and single photon detectors is proposed. The photons are separated and processed in different processing units. All the eight GHZ-states in either the polarization or the momentum degree of freedom can be completely distinguished. The scheme is implementable using present-day technology.

[1]  DENSE CODING IN PHOTONIC QUANTUM COMMUNICATION WITH ENHANCED INFORMATION CAPACITY , 1999 .

[2]  Nathan K Langford,et al.  Generation of hyperentangled photon pairs. , 2005, Physical review letters.

[3]  G. Vallone,et al.  Complete and deterministic discrimination of polarization Bell states assisted by momentum entanglement , 2006, quant-ph/0609080.

[4]  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.

[5]  N. Gisin,et al.  Quantum teleportation with a three-Bell-state analyzer. , 2006 .

[6]  Jian-Wei Pan,et al.  Experimental multiparticle entanglement swapping for quantum networking. , 2009, Physical review letters.

[7]  Weinfurter,et al.  Dense coding in experimental quantum communication. , 1996, Physical review letters.

[8]  S. Walborn,et al.  Hyperentanglement-assisted Bell-state analysis , 2003, quant-ph/0307212.

[9]  Fuguo Deng,et al.  Reply to ``Comment on `Secure direct communication with a quantum one-time-pad' '' , 2004, quant-ph/0405177.

[10]  A. Zeilinger,et al.  Communications: Quantum teleportation across the Danube , 2004, Nature.

[11]  Harald Weinfurter,et al.  Embedded Bell-state analysis , 1998 .

[12]  Jian-Wei Pan,et al.  Greenberger-Horne-Zeilinger-state analyzer , 1998 .

[13]  Ekert,et al.  Quantum cryptography based on Bell's theorem. , 1991, Physical review letters.

[14]  I. Chuang,et al.  Quantum Computation and Quantum Information: Bibliography , 2010 .

[15]  P. K. Aravind Bells theorem without inequalities and only two distant observers , 2001, OFC 2001.

[16]  Thierry Paul,et al.  Quantum computation and quantum information , 2007, Mathematical Structures in Computer Science.

[17]  John Calsamiglia Generalized measurements by linear elements , 2002 .

[18]  Shangqing Gong,et al.  Universal Greenberger-Horne-Zeilinger-state analyzer based on two-photon polarization parity detection , 2005 .

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

[20]  G. Long,et al.  General scheme for superdense coding between multiparties , 2001, quant-ph/0110112.

[21]  Guang-Can Guo,et al.  Complete Bell-states analysis using hyper-entanglement , 2005 .

[22]  Charles H. Bennett,et al.  Communication via one- and two-particle operators on Einstein-Podolsky-Rosen states. , 1992, Physical review letters.

[23]  N. Lutkenhaus,et al.  Bell measurements for teleportation , 1998, quant-ph/9809063.

[24]  G. Long,et al.  Theoretically efficient high-capacity quantum-key-distribution scheme , 2000, quant-ph/0012056.

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

[26]  Fuguo Deng,et al.  Deterministic entanglement purification and complete nonlocal Bell-state analysis with hyperentanglement , 2010 .

[27]  Charles H. Bennett,et al.  Quantum cryptography without Bell's theorem. , 1992, Physical review letters.

[28]  Christian Kurtsiefer,et al.  Complete deterministic linear optics Bell state analysis. , 2006, Physical review letters.

[29]  N. Gisin,et al.  Long-distance entanglement swapping with photons from separated sources , 2004, quant-ph/0409093.

[30]  L. Vaidman,et al.  Methods for Reliable Teleportation , 1998, quant-ph/9808040.

[31]  Yu-Bo Sheng,et al.  Complete hyperentangled-Bell-state analysis for quantum communication , 2010, 1103.0230.

[32]  Gregor Weihs,et al.  Experimental nonlocality proof of quantum teleportation and entanglement swapping. , 2002, Physical review letters.

[33]  N. Lütkenhaus,et al.  Maximum efficiency of a linear-optical Bell-state analyzer , 2001 .

[34]  Kai Chen,et al.  Multistage entanglement swapping. , 2008, Physical review letters.

[35]  Fuguo Deng,et al.  Quantum secure direct communication with high-dimension quantum superdense coding , 2005 .

[36]  Tzu-Chieh Wei,et al.  Remote preparation of single-photon "hybrid" entangled and vector-polarization States. , 2010, Physical review letters.

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

[38]  Wei Zhang,et al.  Efficient entanglement purification for doubly entangled photon state , 2009 .

[39]  DaeKil Park,et al.  Greenberger-Horne-Zeilinger versus W states: Quantum teleportation through noisy channels , 2008 .

[40]  S. Walborn,et al.  Optical Bell-state analysis in the coincidence basis , 2002, quant-ph/0212058.