Quantum computational systems

Active solid-state devices (e.g. – transistors – solid-state diode – Thin active physical layer which is

Reexamination Certificate

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C257SE29071, C257SE29168, C257SE49003, C703S013000, C703S021000, C380S255000

Reexamination Certificate

active

08053754

ABSTRACT:
A computer-implemented method for encryption and decryption using a quantum computational model is disclosed. Such a method includes providing a model of a lattice having a system of non-abelian anyons disposed thereon. From the lattice model, a first quantum state associated with the lattice is determined. Movement of non-abelian anyons within the lattice is modeled to model formation of first and second quantum braids in the space-time of the lattice. The first quantum braid corresponds to first text. The second quantum braid corresponds to second text. A second quantum state associated with the lattice is determined from the lattice model after formation of the first and second quantum braids has been modeled. The second quantum state corresponds to second text that is different from the first text.

REFERENCES:
patent: 7015499 (2006-03-01), Zagoskin
patent: 7109593 (2006-09-01), Freedman et al.
patent: 7453162 (2008-11-01), Freedman et al.
patent: 7474010 (2009-01-01), Freedman et al.
patent: 7518138 (2009-04-01), Freedman et al.
patent: 7525202 (2009-04-01), Freedman et al.
patent: 7566896 (2009-07-01), Freedman et al.
patent: 7579699 (2009-08-01), Freedman et al.
patent: 2009/0097652 (2009-04-01), Freedman et al.
Ko et al. “New Public-Key Cryptosystem Using Braids Groups,” CRYPTO 2000, Spring-Verlag, 2000.
Balents, L. et al., “Fractionalization in an Easy-Axis Kagome Antiferromagnet”,arXiv:cond-mat/0110005 vl, Sep. 29, 2001, 1-8.
Doucot, B. et al., “Topological Order in the Insulating Josephson Junction Array”,arXiv:cond-mat/0211146 vl, Nov. 7, 2002, 1-4.
Freedman, M.H. et al., “Topological Quantum Computation”,arXiv:quant-ph/0101025 v2, Sep. 24, 2002, 1-12.
Freedman, M. H., “P/NP, and the Quantum Field Computer”,Proc. Natl. Acad. Sci. USA, Jan. 1998, 95, 98-101.
Freedman, M.H. et al., “The Two—Eigenvalue Problem and Density of Jones Representation of Braid Groups”,Commun. Math. Phys., 2002, 228, 177-199.
Freedman, M. et al., “A Class of P, T-Invariant Topological Phases of Interacting Electrons”,Annals of Physics, 2004, 310, 428-492.
Freedman, M.H., A Magnetic Model with a Possible Chern-Simons Phase(with an Appendix by F.Goodman and H. Wenzl),Commun. Math Phys., 2003, 234, 129-183.
Freedman, M.H. et al., “A Modular Functor Which is Universal for Quantum Computation”,Commun. Math. Phys., 2002, 227, 605-622.
Freedman, M.H. et al., “Simulation of Topological Field Theories by Quantum Computers”,Commun. Math. Phys., 2002, 227, 587-603.
Freedman, M.H. et al., “Topological Quantum Computation”,Bulletin(New Series)of the American Mathematical Society, Oct. 10, 2002, 40(1), 31-38.
Freedman, M.H. et al., “Topological Quantum Computation”,arXiv:quant-ph/0101025 v2, Oct. 31, 2002, 1-12.
Kitaev, A.U., “Fault-Tolerant Quantum Computation by Anyons”,L.D. Landau Institute for Theoretical Physics, arXiv:quant-ph/9707021 vl, Oct. 7, 2002, 1-27.
Lloyd, S. et al., “Robust Quantum Computation by Simulation”,arXiv:quant-ph/9912040 vl, Dec. 8, 1999, 1-8.
Lloyd, S., “Quantum Computation with Abelian Anyons”,arXiv:quant-ph/0004010 v2, Apr. 9, 2000, 1-7.
Mochon, C., “Anyon Computers with Smaller Groups”,arXiv:quant-ph/0306063 v2, Mar. 29, 2004, 1-28.
Ogburn, R. W., “Topological Quantum Computation”,QCQC, 1998, LNCS1509, 341-356, 1999.
Parsons, P., “Dancing the Quantum Dream”,New Scientist, Jan. 2004, 30-34.
Wen, X.G., “Non-Abelian Statistics in the Fractional Quantum Hall States”,Phys. Rev. Lett., 1991, 66, 802, pp. 1-7.
Bonderson, P., “Non-Abelian Anyons Interferometry”, P.h.D. Dissertation, May 23, 2007.
Bonderson, et al., “Detecting Non-Abelian Statistics in the V=5/2 Quantum Hall State”, PRL 96, 16803-1, 2006.
Averin et al., “Quantum Computation with Quasiparticles of the Fractional Quantum Hall Effect”, Solid State Communications, 2002, 121(1), 25-28.
Ceperley, “Metropolis Methods for Quantum Monte Carlo Simulations”, The Monte Carlo Method in the Physical Sciences, American Institute of Physics, Jun. 25, 2003, 690, 14 pages.
Dolev et al., “Observation of a Quarter of an Electron Charge at the v=5/2 Quantum Hall State”, Nature, Apr. 17, 2008, 452, 829-835.
Evertz, “The Loop Algorithm”, Advances in Physics, 2003, 52(1), 1-66.
Goldin et al., Comments on “General Theory for Quantum Statistics in Two Dimensions”, Physical Review Letters, Feb. 11, 1985, 54(6), 603.
Moore et al., “Nonabelions in the Fractional Quantum Hall Effect”, Nuclear Physics B, 1991, 360(2-3), 362-396.
Morf, “Transition from Quantum Hall to Compressible States in the Second Landau Level: New Light on the v=5/2 Enigma”, Physical Review Letters, Feb. 16, 1998, 80(7), 1505-1508.
Radu et al., “Quasi-Particle Properties from Tunneling in the v=5/2 Quantum Hall State”, Science, May 16, 2008, 320(5878), 899-902.
Tsui et al., “Two-Dimensional Magnetotransport in the Extreme Quantum Limit”, Physical Review Letters, May 31, 1982, 48(22), 1559-1562.
Willett et al., “Observation of an Even-Denominator Quantum in the Fractional Quantum Hall Effect”, Physical review Letters, Oct. 12, 1987, 59(15), 1776-1779.

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