Vibrational effects on the formation of quantum W states

Instituto de Física, Universidade Federal de Uberlândia - 38400-902 Uberlândia, MG, Brazil

^(a) fmsouza@ufu.br (corresponding author)

Received: 14 January 2021
Accepted: 17 April 2021

Abstract

We theoretically investigate the formation of W states in a tripartite system composed of three charge qubits coupled to vibrational modes. The electromechanical coupling is responsible for second-order virtual processes that result in an effective electron-electron interaction between neighbor qubits, which leads to the formation of W states. Based on the Lang-Firsov transformation and perturbation theory, we analytically solve the quantum dynamics, providing a mathematical expression for the maximally entangled W state. Dephasing is also taken into account, paying particular attention to the robustness of bipartite entanglement against local dephasing processes.