Description of interface between semiconductor electrostatic qubit and josephson junction in tight binding model

Abstract

The interface between a superconducting Josephson junction and a semiconductor position-based qubit implemented in coupled semiconductor q-dots is described as a possible base for an electrostatic interface between superconducting and semiconductor quantum computers. A modification of an Andreev bound state in a Josephson junction by the presence of a semiconductor qubit in its proximity and electrostatic interaction with a superconducting qubit is spotted by the minimalist tight-binding model. The obtained results allow for the creation of an interface between a semiconductor quantum computer and a superconducting quantum computer. The existence of topological states of matter is indicated. They open a perspective for the construction of QISKIT-like software that will describe both types of quantum computers as well as their interface.