Occupancy Oscillations and Electron Transfer in Multiple-Quantum-Dot Qubits and their Circuit Representation

Electrostatic quantum dots fabricated in nanometer-scale CMOS are believed to be the best candidates for wide implementation of quantum bits (qubits) in practical quantum computers. In this work, we look at a modelling of qubits from the perspective of circuit- and system-level engineering. We show that in the case of a finite double-well potential, a closed-form solution can be found and it displays transition oscillations. Such oscillations between two levels are known as occupancy oscillations and they correspond to an electron transferring between these levels. We propose an equivalent electrical circuit to model them.