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Abstract: Quantum-computing ideas are applied to the practical and ubiquitous problem of fluid dynamics simulation. Hence, this paper addresses two separate areas of physics: quantum mechanics and fluid dynamics (or specially, the computational simulation of fluid dynamics). The quantum algorithm is called a quantum lattice gas. An analytical treatment of the microscopic quantum lattice-gas system is carried out to predict its behavior at the mesoscopic and macroscopic scales. At the mesoscopic scale, a... (Update)
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.... first step [8, 9, 10, 11] The primary objective of my lattice gas research (task 2304CP initiated in 1992) has been to answer No.1 [15, 16, 17]. In addition, the objective of my quantum computing research (task 2304TD) is to address the second question given that we now have...
.... sites of the Bravais lattice (say from #x to #x #e a ) then (1) can be rewritten exactly as the following lattice Boltzmann equation [3] f a (#x #e a ,t #) f a (#x, t) ##(t) C n# C n# #(t)#. 2) The collision matrix C, in separable tensor product form since...
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BibTeX entry: (Update)
Je#rey Yepez. A quantum lattice-gas model for computational fluid dynamics. Physical Review E, pages 1--91, Submitted 1999. APS EPrint: aps1999Oct22 002. http://citeseer.ist.psu.edu/yepez99quantum.html More
@article{ yepez99quantum,
author = "Jeffrey Yepez",
title = "Quantum Computation of Fluid Dynamics",
journal = "Lecture Notes in Computer Science",
volume = "1509",
pages = "34--60",
year = "1999",
url = "citeseer.ist.psu.edu/yepez99quantum.html" }
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