Quantum lattice gas representation of some classical solitons

Department of Physics, William & Mary, Williamsburg, VA 23187, USA; Air Force Research Laboratory, 29 Randolph Road, Hanscom AFB, MA 01731, USA; Department of Electrical & Computer Engineering, Old Dominion University, Norfolk, VA 23529, USA
Physics Letters A (Impact Factor: 1.63). 01/2003; DOI: 10.1016/S0375-9601(03)00334-7

ABSTRACT 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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