Realization of a quantum walk in phase space using resonator-assisted double quantum dots

TL;DR

This paper demonstrates a quantum walk in phase space using a superconducting resonator and double quantum dots, showcasing ballistic spreading over 25 steps and analyzing key factors affecting the walk.

Contribution

It introduces a novel mechanism for quantum walks in phase space utilizing resonator-assisted double quantum dots with specific control over walk components.

Findings

Quantum walk exhibits ballistic behavior over 25 steps

Driving fields influence the spreading of the walker

Conditional phase shift is achieved via resonator-dot interaction

Abstract

We implement a quantum walk in phase space with a new mechanism based on the superconducting resonator-assisted double quantum dots. By analyzing the hybrid system, we obtain the necessary factors of realization of a quantum walk in phase space: the walker, coin, coin flipping and conditional phase shift. In order to implement the coin flipping operator, we add a driving field to the resonator. The interaction between the quantum dots and resonator field is used to implement conditional phase shift. Furthermore, we show with different driving fields the quantum walk in phase space exhibits a ballistic behavior over 25 steps and numerically analyze the factors which influence the spreading of the walker in phase space.