Description of Interface Between Semiconductor Electrostatic Qubit and Josephson Junction in Tight Binding Model
K. Pomorskia, b, c, R.B. Staszewskid
aUniversity College Dublin, School of Computer Science, Dublin, Ireland
bCracow University of Science and Technology, Faculty of Computer Science and Telecommunications, Institute of Computer Science, Warszawska 24, 31-155 Cracow, Poland
cQuantum Hardware Systems
dUniversity College Dublin, School of Electrical and Electronic Engineering, Dublin, Ireland
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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.

topics: semiconductor qubit, Josephson junction interface, topological phase transitions, hybrid semiconductor-superconducting quantum computer