Towards the Co-Simulation of Charge Qubits: A Methodology Grounding on an Equivalent Circuit Representation

This paper presents a methodology to describe quantum mechanical states of charge qubits, realized as coupled quantum dots occupied by single electrons, using equivalent electrical circuits. We explain how to construct all equations starting from low-level simulations of wave functions and interpret the relationship between the parameters appearing in the resulting model and the parameters of the physical system. An efficient methodology to obtain 2D wave functions is presented. Results obtained in this study using a circuit simulator correspond to quantum dot arrays fabricated in a CMOS technology and recently published in the literature. The generalization of quantum mechanical equations, their conversion to equivalent circuits, and numerical examples are discussed.