Achieving Pauli quantum logic gates with composite solitons of the Manakov system

Abstract

We show that Pauli quantum logic gates can be achieved with composite solitons of a generalized Manakov system. We first prove that the complex superposition principle applies to the generalized Manakov system where the linear combination of two composite solutions, with complex coefficients, generates a third composite solution. The superposition is then written in terms of a complex rotation matrix that generates the three Pauli matrices for certain values of relative phases. This maps the rotation matrix to rotations of qubits on the Bloch sphere. Possible physical realizations in Bose–Einstein condensates and optical fibers are discussed.