Quantum lattice gas representation for vector solitons

George Vahala; Linda Vahala; Jeffrey Yepez

doi:10.1117/12.485953

4 August 2003 Quantum lattice gas representation for vector solitons

George Vahala, Linda Vahala, Jeffrey Yepez

Proceedings Volume 5105, Quantum Information and Computation; (2003) https://doi.org/10.1117/12.485953
Event: AeroSense 2003, 2003, Orlando, Florida, United States

Abstract

Quantum lattice gas algorithms are developed for the coupled-nonlinear Schrodinger (coupled-NLS) equations, equations that describe the propagation of pulses in birefringent fibers. When the cross-phase modulation factor is unity, the coupled-NLS reduce to the Manakov equations. The quantum lattice gas algorithm yields vector solitons for the fully integrable Manakov system that are in excellent agreement with exact results. Simulations are also presented for the interaction between a turbulent 2-soliton mode and a simple NLS 2-soliton mode. The quantum algorithm requires 4 qubits for each spatial node, with quantum entanglement required only between pairs of qubits through a unitary collision operator. The coupling between the qubits is achieved through a local phase change in the absolute value of the paired qubit wave functions. On symmetrizing the unitary streaming operators, the resulting quantum algorithm, which is unconditionally stable, is accurate to O(ε²).

Citation Download Citation

George Vahala, Linda Vahala, and Jeffrey Yepez "Quantum lattice gas representation for vector solitons", Proc. SPIE 5105, Quantum Information and Computation, (4 August 2003); https://doi.org/10.1117/12.485953

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