High-capacity quantum Fibonacci coding for key distribution

David S. Simon,1,2 Nate Lawrence,2 Jacob Trevino,3 Luca Dal Negro,2,3,* and Alexander V. Sergienko2,4,† 1Department of Physics and Astronomy, Stonehill College, 320 Washington Street, Easton, Massachusetts 02357, USA 2Department of Electrical and Computer Engineering & Photonics Center, Boston University, 8 Saint Mary’s St., Boston, Massachusetts 02215, USA 3Division of Materials Science & Engineering, Boston University, 15 Saint Mary’s St., Brookline, Massachusetts 02446, USA 4Department of Physics, Boston University, 590 Commonwealth Ave., Boston, Massachusetts 02215, USA (Received 25 June 2012; published 11 March 2013)

[1]  G. Turin,et al.  An introduction to matched filters , 1960, IRE Trans. Inf. Theory.

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

[3]  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.

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

[5]  B. Welsh,et al.  Imaging Through Turbulence , 1996 .

[6]  D. Bruß.  Optimal Eavesdropping in Quantum Cryptography with Six States , 1998, quant-ph/9805019.

[7]  L. Andrews,et al.  Laser Beam Propagation Through Random Media , 1998 .

[8]  G W Burr,et al.  Thermal fixing of 10,000 Holograms in LiNbO3:Fe. , 1999, Applied optics.

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

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

[11]  Andrew G. Glen,et al.  APPL , 2001 .

[12]  Thomas Koshy,et al.  Fibonacci and Lucas Numbers With Applications , 2018 .

[13]  Thomas Koshy,et al.  Fibonacci and Lucas Numbers with Applications: Koshy/Fibonacci , 2001 .

[14]  Anders Karlsson,et al.  Security of quantum key distribution using d-level systems. , 2001, Physical review letters.

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

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

[17]  C. Paterson,et al.  Atmospheric turbulence and orbital angular momentum of single photons for optical communication. , 2005, Physical review letters.

[18]  A. Vaziri,et al.  Experimental quantum cryptography with qutrits , 2005, quant-ph/0511163.

[19]  Robert W. Boyd,et al.  Discriminating orthogonal single-photon images , 2009 .

[20]  Dave Cliff,et al.  In/Proceedings of the 15th IEEE International Conference on the Engineering of Complex Computer Systems/ (ICECCS 2010), Oxford , 2010 .

[21]  Shmuel Tomi Klein,et al.  On the Usefulness of Fibonacci Compression Codes , 2010, Comput. J..

[22]  M. Lavery,et al.  Efficient sorting of orbital angular momentum states of light. , 2010, Physical review letters.

[23]  L. Dal Negro,et al.  Circularly symmetric light scattering from nanoplasmonic spirals. , 2011, Nano letters.

[24]  N. Yu,et al.  Light Propagation with Phase Discontinuities: Generalized Laws of Reflection and Refraction , 2011, Science.

[25]  L. Dal Negro,et al.  Localized photonic band edge modes and orbital angular momenta of light in a golden-angle spiral , 2011, 2012 Conference on Lasers and Electro-Optics (CLEO).

[26]  L. Dal Negro,et al.  Control of optical orbital angular momentum by Vogel spiral arrays of metallic nanoparticles. , 2012, Optics letters.

[27]  Nate Lawrence,et al.  Aperiodic arrays of active nanopillars for radiation engineering , 2012 .

[28]  Luca Dal Negro,et al.  Analytical light scattering and orbital angular momentum spectra of arbitrary Vogel spirals. , 2012, Optics express.

[29]  L. Dal Negro,et al.  Geometrical structure, multifractal spectra and localized optical modes of aperiodic Vogel spirals. , 2012, Optics express.

[30]  Johannes Courtial,et al.  Refractive elements for the measurement of the orbital angular momentum of a single photon. , 2012, Optics express.

[31]  Robert Fickler,et al.  Quantum Entanglement of High Angular Momenta , 2012, Science.