Concentration of higher dimensional entanglement

Enhancement of entanglement enhancement is necessary for most quantum communication protocols many of which are defined in Hilbert spaces larger than two. In this work we present the experimental realization of entanglement concentration of orbital angular momentum entangled photons produced in the spontaneous parametric down-conversion process which have been shown to provide a source for higher dimensional entanglement. We investigate the specific case of three dimensions and the possibility of generating different entangled states out of an initial state. The results presented here are of importance for pure states as well as for mixed states.

[1]  M. Horodecki,et al.  Inseparable Two Spin- 1 2 Density Matrices Can Be Distilled to a Singlet Form , 1997 .

[2]  H. Bechmann-Pasquinucci,et al.  Quantum Cryptography using larger alphabets , 1999, quant-ph/9910095.

[3]  A. Vaziri,et al.  Entanglement of the orbital angular momentum states of photons , 2001, Nature.

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

[5]  M. Vasnetsov,et al.  Laser beams with screw dislocations in their wavefronts , 2003 .

[6]  J. P. Woerdman,et al.  Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[7]  M. Bourennane,et al.  QUANTUM KEY DISTRIBUTION USING MULTILEVEL ENCODING , 2001 .

[8]  Steane,et al.  Error Correcting Codes in Quantum Theory. , 1996, Physical review letters.

[9]  N. Gisin,et al.  Experimental entanglement distillation and ‘hidden’ non-locality , 2001, Nature.

[10]  H Bechmann-Pasquinucci,et al.  Quantum cryptography with 3-state systems. , 2000, Physical review letters.

[11]  Quantum computation with harmonic oscillators , 2000, Technical Digest. CLEO/Pacific Rim 2001. 4th Pacific Rim Conference on Lasers and Electro-Optics (Cat. No.01TH8557).

[12]  He,et al.  Direct observation of transfer of angular momentum to absorptive particles from a laser beam with a phase singularity. , 1995, Physical review letters.

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

[14]  N. Gisin,et al.  Quantum Cryptography with Polarized Photons in Optical Fibres: Experiment and Practical Limits , 1994 .

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

[16]  Christian Kurtsiefer,et al.  High efficiency entangled photon pair collection in type II parametric fluorescence , 2001, quant-ph/0101074.

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

[18]  S. Barnett,et al.  Measuring the orbital angular momentum of a single photon. , 2002, Physical review letters.

[19]  Charles H. Bennett,et al.  Teleporting an unknown quantum state via dual classical and EPR channels , 1993 .

[20]  Gregor Weihs,et al.  Superpositions of the orbital angular momentum for applications in quantum experiments , 2002 .

[21]  Andris Ambainis.  A new protocol and lower bounds for quantum coin flipping , 2004, J. Comput. Syst. Sci..

[22]  Shor,et al.  Scheme for reducing decoherence in quantum computer memory. , 1995, Physical review. A, Atomic, molecular, and optical physics.

[23]  Kishan Dholakia,et al.  The Production Of Multiringed Laguerre-Gaussian Modes By Computer-Generated Holograms , 1998 .

[24]  Mikhail V. Vasnetsov,et al.  LASER APPLICATIONS AND OTHER TOPICS IN QUANTUM ELECTRONICS: Mode separator for a beam with an off-axis optical vortex , 2001 .

[25]  H. Rubinsztein-Dunlop,et al.  Optical angular-momentum transfer to trapped absorbing particles. , 1996, Physical review. A, Atomic, molecular, and optical physics.

[26]  A. Vaziri,et al.  Experimental two-photon, three-dimensional entanglement for quantum communication. , 2002, Physical review letters.