Data processing: structural design – modeling – simulation – and em – Modeling by mathematical expression
Reexamination Certificate
2011-04-19
2011-04-19
Jacob, Mary C (Department: 2123)
Data processing: structural design, modeling, simulation, and em
Modeling by mathematical expression
C706S014000, C703S013000, C703S021000
Reexamination Certificate
active
07930152
ABSTRACT:
A method for simulating a partial differential equation to perform image and signal processing. The method utilizes quantum and classical lattice gas processes to simulate the partial differential equation. The lattice gas processes may be run on a type I quantum computer, type II quantum computer or a classical computer. A system for simulating and solving a partial differential equation comprising a quantum computer and a classical processor.
REFERENCES:
patent: 5917322 (1999-06-01), Gershenfeld et al.
patent: 6459097 (2002-10-01), Zagoskin
patent: 6504172 (2003-01-01), Zagoskin et al.
patent: 6537847 (2003-03-01), Zagoskin et al.
patent: 6563310 (2003-05-01), Zagoskin
patent: 6563311 (2003-05-01), Zagoskin
patent: 6573202 (2003-06-01), Ivanov et al.
patent: 6576951 (2003-06-01), Ivanov et al.
patent: 6580102 (2003-06-01), Ivanov et al.
patent: 6605822 (2003-08-01), Blais et al.
patent: 6614047 (2003-09-01), Tzalenchuk et al.
patent: 6627915 (2003-09-01), Ustinov et al.
patent: 6627916 (2003-09-01), Amin et al.
patent: 6631202 (2003-10-01), Hale
patent: 6670630 (2003-12-01), Blais et al.
patent: 6728131 (2004-04-01), Ustinov
patent: 6753546 (2004-06-01), Tzalenchuk et al.
patent: 6784451 (2004-08-01), Amin et al.
patent: 6791109 (2004-09-01), Tzalenchuk et al.
patent: 6803599 (2004-10-01), Amin et al.
patent: 6812484 (2004-11-01), Tzalenchuk et al.
patent: 6822255 (2004-11-01), Tzalenchuk et al.
patent: 6885325 (2005-04-01), Omelyanchouk et al.
patent: 6897468 (2005-05-01), Blais et al.
patent: 6900454 (2005-05-01), Blais et al.
patent: 6900456 (2005-05-01), Blais et al.
patent: 6905887 (2005-06-01), Amin et al.
patent: 6911664 (2005-06-01), Il'ichev et al.
patent: 6919579 (2005-07-01), Amin et al.
patent: 6930320 (2005-08-01), Blais et al.
patent: 6936841 (2005-08-01), Amin et al.
patent: 6943368 (2005-09-01), Amin et al.
patent: 6960780 (2005-11-01), Blais et al.
patent: 6979836 (2005-12-01), Zagoskin et al.
patent: 6987282 (2006-01-01), Amin et al.
patent: 7002174 (2006-02-01), Il'ichev et al.
patent: 7015499 (2006-03-01), Zagoskin
patent: 7018852 (2006-03-01), Wu et al.
patent: 7042005 (2006-05-01), Il'ichev et al.
patent: 7135701 (2006-11-01), Amin et al.
patent: 7216038 (2007-05-01), Vitaliano et al.
patent: 7230266 (2007-06-01), Hilton et al.
patent: 7253654 (2007-08-01), Amin
patent: 7268576 (2007-09-01), Amin
patent: 7277872 (2007-10-01), Raussendorf et al.
patent: 7307275 (2007-12-01), Lidar et al.
patent: 7332738 (2008-02-01), Blais et al.
patent: 7335909 (2008-02-01), Amin et al.
patent: 7353148 (2008-04-01), Meyers et al.
patent: 7418283 (2008-08-01), Amin
patent: 2002/0177529 (2002-11-01), Ustinov
patent: 2002/0179937 (2002-12-01), Ivanov et al.
patent: 2003/0021518 (2003-01-01), Smirnov et al.
patent: 2003/0027724 (2003-02-01), Rose et al.
patent: 2003/0042481 (2003-03-01), Tzalenchuk et al.
patent: 2003/0063426 (2003-04-01), Smirnov et al.
patent: 2003/0098455 (2003-05-01), Amin et al.
patent: 2003/0111661 (2003-06-01), Tzalenchuk et al.
patent: 2003/0146429 (2003-08-01), Tzalenchuk et al.
patent: 2003/0146430 (2003-08-01), Tzalenchuk et al.
patent: 2003/0169041 (2003-09-01), Coury et al.
patent: 2004/0095803 (2004-05-01), Ustinov
patent: 2004/0140537 (2004-07-01), Il'ichev et al.
patent: 2004/0167036 (2004-08-01), Amin et al.
patent: 2004/0170047 (2004-09-01), Amin et al.
patent: 2004/0173787 (2004-09-01), Blais et al.
patent: 2004/0173792 (2004-09-01), Blais et al.
patent: 2004/0173793 (2004-09-01), Blais et al.
patent: 2004/0238813 (2004-12-01), Lidar et al.
patent: 2005/0101489 (2005-05-01), Blais et al.
patent: 2005/0162302 (2005-07-01), Omelyanchouk et al.
patent: 2006/0147154 (2006-07-01), Thom et al.
Pravia et al, “Experimental Demonstration of Quantum Lattice Gas Computation” Quantum Information Processing, vol. 2, Nos. 1-2, Apr. 2003.
Jawerth et al , “Lattice Boltzmann Models for Anisotropic Diffusion of Images”, Journal of Mathematical Imaging and Vision 11, pp. 231-237, 1999.
Yepez, Jeffrey, (“Type-II Quantum Computers”, Quantum Computing Colloquium, Nuclear Engineering Department, MIT, Sep. 27, 1999.
Chen, Zhiying, “Experimental Demonstration and Exploration of Quantum Lattice Gas Algorithms”, Thesis, Massachusetts Institute of Technology, Feb. 2005.
Vahala et al, “Quantum Lattice Gas Representation of Some Classical Solitons”, Physics Letters A 310, 2003.
Venegas-Andraca et al, “Storing Images in Entangled Quantum Systems”, eprint arXiv:quant-ph/0402085, Feb. 12, 2004.
Alvarez, et al., “Image Selective Smoothing and Edge Detection by Nonlinear Diffusion. II” SIAM Journal on Numerical Analysis, vol. 29, No. 3, Jun. 1992, pp. 845-866.
Berman, et al., “Simulation of the diffusion equation on a type-II quantum computer,” Physical Review, A 66, 2002, pp. 012310-1-021310-8.
Berns, et al., “Implementation Schemes for the Factorized Quantum Lattice-Gas Algorithm for the One Dimensional Diffusion Equation Using Persistent-Current Qubits,” Quantum Information Processing, vol. 4, No. 4, Oct. 2005, pp. 265-282.
Boghosian, et al., “Quantum lattice-gas model for the many-particle Schrödinger equation inddimensions,” Physical Review E 57, Jan. 1998, pp. 54-66.
Catté, et al.,“Image Selective Smoothing and Edge Detection by Nonlinear Diffusion,” SIAM Journal on Numerical Analysis, vol. 29, No. 1, Feb. 1992, pp. 182-193.
Chen, et al., “Simulation of the Burgers equation by NMR quantum-information processing,” Physical Review A 74, 2006, pp. 042321-1-042321-7.
Coffey, M. W., “Properties and possibilities of quantum shapelets,” Journal of Physics A: Mathematical and General 39, 2006, pp. 877-887.
Coffey, et al., “Multidimensional linear diffusion for image enhancement on a type II quantum computer,” Proceedings of the Royal Society A, doi:10.1098/rspa.2007.1878, pp. 1-16.
Cottet, et al., “Image Processing through Reaction Combined with Nonlinear Diffusion,” Mathematics of Computation, vol. 61, No. 204, Oct. 1993, pp. 659-673.
El-Fallah, et al., “Nonlinear adaptive image filtering based on inhomogeneous diffusion and differential geometry,” SPIE vol. 2182 Image and Video Processing II, 1994, pp. 49-63.
Gradshteyn, et al., Table of Integrals, Series, and Products, Academic Press, New York , 1980, pp. xi-xxii.
Harting, et al., “Large-scale lattice Boltzmann simulations of complex fluids: advances through the advent of computational Grids,” Phil. Trans. R. Soc. A 363, 2005, pp. 1895-1915.
Keysers, et al., “Color image dequantization by Constrained Diffusion,” Proc. SPIE Electronic Imaging 2006, 11 pages.
Koenderink, J. J., “The Structure of Images,” Biological Cybernetics 50, 1984, pp. 363-370.
Lee, et al., “Optimal regularized image restoration algorithm based on backward diffusion equation,” Optical Engineering, vol. 43, No. 1, Jan. 2004, pp. 51-62.
Love, et al., “Type II quantum algorithms,” Physica A 362 (2006) pp. 210-214.
Nagasawa, M., “Schrödinger Equations and Diffusion Theory,” Birkh{umlaut over ())}{umlaut over (})}user, Basel, Switzerland 1993, 7 pages.
Nielsen, et al., “Quantum Computation and Quantum Information,” Cambridge University Press (2000), 9 pages.
Osher, et al., “Feature-Oriented Image Enhancement Using Shock Filters,” SIAM Journal on Numerical Analysis, vol. 27, No. 4, Aug. 1990, pp. 919-940.
Perona, et al., “Scale-Space and Edge Detection Using Anisotropic Diffusion,” IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 12, No. 7, Jul. 1990, pp. 629-639.
Pravia, et al., “Towards a NMR implementation of a quantum lattice gas algorithm,” Computer Physics Communications 146, 2002, pp. 339-344.
Sakai, et al., “Two-Dimensional Simulation of Tunneling Using Quantum Lattice-Gas Automata,” Proc. Nanotech., 2005, 4 pages.
Shor, P. W., “Rapid Co
Coffey Mark W.
Colburn Gabriel G.
Colorado School of Mines
Dorsey & Whitney LLP
Jacob Mary C
LandOfFree
Method for signal and image processing with lattice gas... does not yet have a rating. At this time, there are no reviews or comments for this patent.
If you have personal experience with Method for signal and image processing with lattice gas..., we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Method for signal and image processing with lattice gas... will most certainly appreciate the feedback.
Profile ID: LFUS-PAI-O-2670790