Model of coupled quantum memristors based on a single trapped $^{171}$Yb$^+$ ion

A method for the joint application of two coupled quantum memristors on a single $^{171}$Yb$^+$ ion by using optical and radio-frequency transitions induced by resonant laser fields is proposed. As a result, coherent mapping of the input quantum state to the output state is created. The proposed method makes it possible to use only one ion to control statistical weights in two-layer perceptrons.