Geodesic
Dynamics of entangled Greenberger --- Horne --- Zeilinger states in three qubits thermal Tavis --- Cummings model
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, Tome 30 (2024) no. 1, pp. 82-95

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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.
Keywords: qubits, three qubits, Greenberger –– Horne –– Zeilinger states, resonance interaction, cavity, thermal field, fidelity.
Mots-clés : entanglement 
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     author = {A. R. Bagrov and E. K. Bashkirov},
     title = {Dynamics of entangled {Greenberger} --- {Horne} --- {Zeilinger} states in three qubits thermal {Tavis} --- {Cummings} model},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
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     publisher = {mathdoc},
     volume = {30},
     number = {1},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2024_30_1_a6/}
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A. R. Bagrov; E. K. Bashkirov. Dynamics of entangled Greenberger --- Horne --- Zeilinger states in three qubits thermal Tavis --- Cummings model. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, Tome 30 (2024) no. 1, pp. 82-95. http://geodesic.mathdoc.fr/item/VSGU_2024_30_1_a6/