Abstract
We present the results of simulation of the dynamics of a 3 quantum dot array by means of numerical solution of the von Neumann equation $$\imath \dot {\rho } = [H,\rho ].$$ The trace over the states of phonon bath was taken by Feynman path integral numerical calculation. It is shown that simplistic system of 3 quantum dots with common phonon bath can implement $$\neg $$XOR logic operation. The results of our model can be applied to the development of different quantum simulators, quantum gates, and quantum neural networks implemented in arrays of quantum dots.
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