Dynamics of entangled Greenberger — Horne — Zeilinger states in three qubits thermal Tavis — Cummings model

A. R. Bagrov   ; E. K. Bashkirov

Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, Tome 30 (2024) no. 1, pp. 82-95

Résumé

In this paper, we investigated the dynamics of systems of two and three identical qubits interacting resonantly with a selected mode of a thermal field of a lossless resonator. We found solutions of the quantum time-dependent Liouville equation for various three- and two-qubit entangled states of qubits. Based on these solutions, we calculated the criterion of the qubit entanglement — fidelity. The results of numerical calculations of the fidelity showed that increasing the average number of photons in a mode leads to a decrease in the maximum degree of entanglement. It is shown that the two-qubit entangled state is more stable with respect to external noise than the three-qubit entangled Greenberger — Horne — Zeilinger states ($GHZ$). Moreover, a genuine entangled $GHZ$-state is more stable to noise than a $GHZ$-like entangled state.

Détail

Keywords: qubits, three qubits, Greenberger –– Horne –– Zeilinger states, resonance interaction, cavity, thermal field, fidelity.
Mots-clés : entanglement

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