Zobrazeno 1 - 10
of 424
pro vyhledávání: '"Singleton JR"'
Autor:
Singleton Jr, Robert L.
Modular exponentiation (ME) operators are one of the fundamental components of Shor's algorithm, and the place where most of the quantum resources are deployed. I propose a method for constructing the ME operators that relies upon the simple observat
Externí odkaz:
http://arxiv.org/abs/2405.17021
Autor:
Singleton Jr, Robert L
Publikováno v:
Quanta 2023; 12: 41-130
These are pedagogical notes on Shor's factoring algorithm, which is a quantum algorithm for factoring very large numbers (of order of hundreds to thousands of bits) in polynomial time. In contrast, all known classical algorithms for the factoring pro
Externí odkaz:
http://arxiv.org/abs/2306.09122
We review the basic theoretical underpinnings of the Grover algorithm, providing a rigorous and well motivated derivation. We then present a generalization of Grover's algorithm that searches an arbitrary subspace of the multi-dimensional Hilbert spa
Externí odkaz:
http://arxiv.org/abs/2110.11163
Autor:
Robert L. Singleton Jr
Publikováno v:
Quanta, Vol 12, Iss 1, Pp 41-130 (2023)
We provide a pedagogical presentation of Shor's factoring algorithm, which is a quantum algorithm for factoring very large numbers (of order of hundreds to thousands of bits) in polynomial time. In contrast, all known classical algorithms for the fac
Externí odkaz:
https://doaj.org/article/ce6ddf3aed36440e877bf97be63b523d
Autor:
Singleton Jr, Robert L
This is the third in a series of lectures on the technique of dimensional continuation, employed by Brown, Preston and Singleton (BPS), for calculating Coulomb energy exchange rates in a plasma. Two important examples of such processes are the charge
Externí odkaz:
http://arxiv.org/abs/2007.10103
Autor:
Grabowski, P. E., Hansen, S. B., Murillo, M. S., Stanton, L. G., Graziani, F. R., Zylstra, A. B., Baalrud, S. D., Arnault, P., Baczewski, A. D., Benedict, L. X., Blancard, C., Certik, O., Clerouin, J., Collins, L. A., Copeland, S., Correa, A. A., Dai, J., Daligault, J., Desjarlais, M. P., Dharma-wardana, M. W. C., Faussurier, G., Haack, J., Haxhimali, T., Hayes-Sterbenz, A., Hou, Y., Hu, S. X., Jensen, D., Jungman, G., Kagan, G., Kang, D., Kress, J. D., Ma, Q., Marciante, M., Meyer, E., Rudd, R. E., Saumon, D., Shulenburger, L., Singleton Jr., R. L., Sjostrom, T., Stanek, L. J., Starrett, C. E., Ticknor, C., Valaitis, S., Venzke, J., White, A.
We present the results of the first Charged-Particle Transport Coefficient Code Comparison Workshop, which was held in Albuquerque, NM October 4-6, 2016. In this first workshop, scientists from eight institutions and four countries gathered to compar
Externí odkaz:
http://arxiv.org/abs/2007.00744
Multimaterial heat diffusion can be a challenging numerical problem when the material boundaries are misaligned with the numerical grid. Even when the boundaries start out aligned, they typically become misaligned through hydrodynamic motion. There a
Externí odkaz:
http://arxiv.org/abs/1903.11396
Systems of linear equations are employed almost universally across a wide range of disciplines, from physics and engineering to biology, chemistry and statistics. Traditional solution methods such as Gaussian elimination become very time consuming fo
Externí odkaz:
http://arxiv.org/abs/1901.06526
Autor:
Yorke, Chloe E., Howard, April D., Burnett, Sarah C., Honnell, Kevin G., Ramsey, Scott D., Singleton Jr, Robert L.
The classic Noh verification test problem is extended beyond the traditional ideal gas and applied to shock compression of condensed matter. Using the stiff-gas equation of state (EOS), which admits an exact analytical solution for the planar Noh pro
Externí odkaz:
http://arxiv.org/abs/1708.09071
The Noh verification test problem is extended beyond the commonly studied ideal gamma-law gas to more realistic equations of state (EOSs) including the stiff gas, the Noble-Abel gas, and the Carnahan-Starling EOS for hard-sphere fluids. Self-similari
Externí odkaz:
http://arxiv.org/abs/1706.04629