11 citations · 20 across the 4 of their papers we have counts for
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Simulation of the Burgers equation by NMR quantum information processing
Zhiying Chen, Jeffrey Yepez, David G. Cory
We report on the implementation of Burgers equation as a type-II quantum computation on an NMR quantum information processor. Since the flow field evolving under the Burgers equati…
Experimental Demonstration of Quantum Lattice Gas Computation
Marco A. Pravia, Zhiying Chen, Jeffrey Yepez +1
We report an ensemble nuclear magnetic resonance (NMR) implementation of a quantum lattice gas algorithm for the diffusion equation. The algorithm employs an array of quantum infor…
An efficient and accurate quantum algorithm for the Dirac equation
Jeffrey Yepez
An efficient quantum algorithm for the many-body three-dimensional Dirac equation is presented. Its computational complexity is dominantly linear in the number of qubits used to sp…
An efficient quantum algorithm for the one-dimensional Burgers equation
Jeffrey Yepez
We analyze one-dimensional classical and quantum microscopic lattice-gas models governed by a lattice Boltzmann equation at the mesoscopic scale, achieved by ensemble averaging ove…