Quantum lattice gas representation of some classical solitons

Department of Physics, College of William and Mary, Williamsburg, Virginia, United States
Physics Letters A (Impact Factor: 1.68). 04/2003; 310(2-3):187-196. DOI: 10.1016/S0375-9601(03)00334-7


A quantum lattice gas representation is determined for both the non-linear Schrödinger (NLS) and Korteweg–de Vries (KdV) equations. There is excellent agreement with the solutions from these representations to the exact soliton–soliton collisions of the integrable NLS and KdV equations. These algorithms could, in principle, be simulated on a hybrid quantum-classical computer.

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