Simulating Nonlinear Radiation Diffusion Through Quantum Computing

Gaitan, Frank; Graziani, Frank; Porter, Max D.

doi:10.1007/s10773-024-05800-x

Title: Simulating Nonlinear Radiation Diffusion Through Quantum Computing

Journal Article · 11 October 2024 · International Journal of Theoretical Physics (Online)

DOI: https://doi.org/10.1007/s10773-024-05800-x · OSTI ID:2462820

Gaitan, Frank; Graziani, Frank; Porter, Max D.

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Sponsoring Organization:: USDOE

Grant/Contract Number:: AC52-07NA27344

OSTI ID:: 2462820

Journal Information:: International Journal of Theoretical Physics (Online), Journal Name: International Journal of Theoretical Physics (Online) Journal Issue: 10 Vol. 63; ISSN 1572-9575

Publisher:: Springer Science + Business MediaCopyright Statement

Country of Publication:: Netherlands

Language:: English

References (18)

Finding Solutions of the Navier‐Stokes Equations through Quantum Computing—Recent Progress, a Generalization, and Next Steps Forward Gaitan, Frank Advanced Quantum Technologies, Vol. 4, Issue 10 https://doi.org/10.1002/qute.202100055	journal	September 2021
Quantum Complexity of Integration Novak, Erich Journal of Complexity, Vol. 17, Issue 1 https://doi.org/10.1006/jcom.2000.0566	journal	March 2001
�ber die partiellen Differenzengleichungen der mathematischen Physik Courant, R.; Friedrichs, K.; Lewy, H. Mathematische Annalen, Vol. 100, Issue 1 https://doi.org/10.1007/BF01448839	journal	December 1928
The non-equilibrium Marshak wave problem Pomraning, G. C. Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 21, Issue 3 https://doi.org/10.1016/0022-4073(79)90016-5	journal	March 1979
FLASH MHD simulations of experiments that study shock-generated magnetic fields Tzeferacos, P.; Fatenejad, M.; Flocke, N. High Energy Density Physics, Vol. 17 https://doi.org/10.1016/j.hedp.2014.11.003	journal	December 2015
Almost optimal solution of initial-value problems by randomized and quantum algorithms Kacewicz, Bolesław Journal of Complexity, Vol. 22, Issue 5 https://doi.org/10.1016/j.jco.2006.03.001	journal	October 2006
Extensible component-based architecture for FLASH, a massively parallel, multiphysics simulation code Dubey, Anshu; Antypas, Katie; Ganapathy, Murali K. Parallel Computing, Vol. 35, Issue 10-11 https://doi.org/10.1016/j.parco.2009.08.001	journal	October 2009
A First Course in the Numerical Analysis of Differential Equations Iserles, Arieh Cambridge University Press https://doi.org/10.1017/CBO9780511995569	book	January 2008
Fuel gain exceeding unity in an inertially confined fusion implosion Hurricane, O. A.; Callahan, D. A.; Casey, D. T. Nature, Vol. 506, Issue 7488 https://doi.org/10.1038/nature13008	journal	February 2014
Finding flows of a Navier–Stokes fluid through quantum computing Gaitan, Frank npj Quantum Information, Vol. 6, Issue 1 https://doi.org/10.1038/s41534-020-00291-0	journal	July 2020
Three-dimensional HYDRA simulations of National Ignition Facility targets Marinak, M. M.; Kerbel, G. D.; Gentile, N. A. Physics of Plasmas, Vol. 8, Issue 5 https://doi.org/10.1063/1.1356740	journal	May 2001
Effect of Radiation on Shock Wave Behavior Marshak, R. E. Physics of Fluids, Vol. 1, Issue 1 https://doi.org/10.1063/1.1724332	journal	January 1958
A comparison of three-dimensional multimode hydrodynamic instability growth on various National Ignition Facility capsule designs with HYDRA simulations Marinak, M. M.; Haan, S. W.; Dittrich, T. R. Physics of Plasmas, Vol. 5, Issue 4 https://doi.org/10.1063/1.872643	journal	April 1998
FLASH: An Adaptive Mesh Hydrodynamics Code for Modeling Astrophysical Thermonuclear Flashes Fryxell, B.; Olson, K.; Ricker, P. The Astrophysical Journal Supplement Series, Vol. 131, Issue 1 https://doi.org/10.1086/317361	journal	November 2000
Circuit implementation of oracles used in a quantum algorithm for solving nonlinear partial differential equations Gaitan, Frank Physical Review A, Vol. 109, Issue 3 https://doi.org/10.1103/PhysRevA.109.032604	journal	March 2024
Experimental achievement and signatures of ignition at the National Ignition Facility Zylstra, A. B.; Kritcher, A. L.; Hurricane, O. A. Physical Review E, Vol. 106, Issue 2 https://doi.org/10.1103/PhysRevE.106.025202	journal	August 2022
Lawson Criterion for Ignition Exceeded in an Inertial Fusion Experiment Abu-Shawareb, H.; Acree, R.; Adams, P. Physical Review Letters, Vol. 129, Issue 7 https://doi.org/10.1103/PhysRevLett.129.075001	journal	August 2022
Radiation Diffusion: an Overview of Physical and Numerical Concepts Graziani, Frank Open Issues in Core Collapse Supernova Theory https://doi.org/10.1142/9789812703446_0002	conference	November 2011

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