Linear optical scheme for entanglement concentration of two partially entangled three-photon ${\sf W}$ states

AbstractWe propose a practical scheme for concentrating entanglement in a pair of unknown partially entangled three-photon W states with only linear optics and photon detectors. In the scheme, Alice, Bob, and Charlie at three distant parties can obtain one maximally entangled three-photon W state with a certain success probability from two identical partially entangled three-photon W states by local operations and classical communication. The proposed setup is very simple, which greatly simplifies the experimental realization of the scheme.

[1]  Charles H. Bennett,et al.  Quantum cryptography using any two nonorthogonal states. , 1992, Physical review letters.

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

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

[4]  Deutsch,et al.  Quantum Privacy Amplification and the Security of Quantum Cryptography over Noisy Channels. , 1996, Physical review letters.

[5]  Charles H. Bennett,et al.  Concentrating partial entanglement by local operations. , 1995, Physical review. A, Atomic, molecular, and optical physics.

[6]  Charles H. Bennett,et al.  Mixed-state entanglement and quantum error correction. , 1996, Physical review. A, Atomic, molecular, and optical physics.

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

[8]  H. Lo,et al.  Concentrating entanglement by local actions: Beyond mean values , 1997, quant-ph/9707038.

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

[10]  Lov K. Grover.  Quantum Mechanics Helps in Searching for a Needle in a Haystack , 1997, quant-ph/9706033.

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

[12]  S. Bose,et al.  PURIFICATION VIA ENTANGLEMENT SWAPPING AND CONSERVED ENTANGLEMENT , 1998, quant-ph/9812013.

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

[14]  Konrad Banaszek,et al.  TESTING QUANTUM NONLOCALITY IN PHASE SPACE , 1999 .

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

[16]  Jian-Wei Pan,et al.  Practical scheme for entanglement concentration , 2001, quant-ph/0104039.

[17]  Jian-Wei Pan,et al.  Entanglement purification for quantum communication , 2000, Nature.

[18]  M. Koashi,et al.  Concentration and purification scheme for two partially entangled photon pairs , 2001, quant-ph/0101042.

[19]  X. Zou,et al.  Generation of an entangled four-photon W state , 2002, quant-ph/0202090.

[20]  K. Boström,et al.  Deterministic secure direct communication using entanglement. , 2002, Physical review letters.

[21]  M. Koashi,et al.  Experimental extraction of an entangled photon pair from two identically decohered pairs , 2003, Nature.

[22]  Jian-Wei Pan,et al.  Experimental realization of entanglement concentration and a quantum repeater. , 2003, Physical review letters.

[23]  Ming Yang,et al.  Entanglement concentration for unknown atomic entangled states via entanglement swapping , 2004, quant-ph/0411157.

[24]  Shou Zhang,et al.  Secure direct communication based on secret transmitting order of particles , 2006, quant-ph/0601119.

[25]  Quantum nonlocality of N-qubit W states , 2005, quant-ph/0510013.

[26]  Ming Yang,et al.  Concentration for unknown atomic entangled states via cavity decay (3 pages) , 2005, quant-ph/0510044.

[27]  Xin Ji,et al.  Improving the security of multiparty quantum secret splitting and quantum state sharing , 2006 .

[28]  Scheme for linear optical preparation of a type of four-photon entangled state with conventional photon detectors , 2009 .

[29]  Shou Zhang,et al.  Linear optical generation of multipartite entanglement with conventional photon detectors , 2009 .