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Quantum state discrimination of coherent states has been one of important problems in quantum information processing. Recently, R. Han  et al . showed that minimum error discrimination of two coherent states can be nearly done by using Jaynes-Cummings Hamiltonian. In this paper, based on the result of R. Han  et al ., we propose the methods where minimum error discrimination of more than two weak coherent states can be nearly performed. Specially, we construct models which can do almost minimum error discrimination of three and four coherent states. Our result can be applied to quantum information processing of various coherent states.

Almost minimum error discrimination of N-ary weak coherent states by Jaynes-Cummings Hamiltonian dynamics