Vibrational Effects on the Formation of Quantum $W$ States
- URL: http://arxiv.org/abs/2104.06192v1
- Date: Tue, 13 Apr 2021 13:41:10 GMT
- Title: Vibrational Effects on the Formation of Quantum $W$ States
- Authors: H. G. Mendon\c{c}a and F. M. Souza
- Abstract summary: We investigate the formation of $W$ states in a tripartite system composed of three charge qubits coupled to vibrational modes.
The electromechanical coupling is responsable for second order virtual processes that result in an effective electron-electron interaction between neighbor qubits.
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- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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 responsable for second order virtual processes
that result in an effective electron-electron interaction between neighbor
qubits, which yields 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 accout, paying particular attention on the
robustness of bipartite entanglement against local dephasing processes.
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