Abstract
The paper investigates the dynamics of entanglement and explores some geometrical characteristics of the trajectories in state space, in four-qubit Greenberger-Horne-Zeilinger (GHZ) - and W-type states, coupled to common and independent classical random telegraph noise (RTN) sources. It is shown from numerical simulations that: (i) the dynamics of entanglement depends drastically not only on the input configuration of the qubits and the presence or absence of memory effects, but also on whether the qubits are coupled to the RTN in a CE or IEs; (ii) a considerable amount of entanglement can be indefinitely trapped when the qubits are embedded in a CE; (iii) the CE configuration preserves better the entanglement initially shared between the qubits than the IEs configuration, however, for W-type states, there is a period of time and/or certain values of the purity for which, the opposite can be found. Thanks to the results obtained in our earlier works on three-qubit models, we are able to conclude that entanglement becomes more robustly protected from decay when the number of qubits of the system increases. Finally, we find that the trajectories in state space of the system quantified by the quantum Jensen Shannon divergence (QJSD) between the time-evolved states of the qubits and some reference states may be curvilinear or chaotic.
Highlights
Nowadays, it is well established that multi-partite entangled states are powerful and indispensable resources for emerging quantum technologies such as quantum communication [1,2,3], quantum computing [4], quantum metrology [5] and quantum imaging [6]
We present the numerical simulation results of the time evolution of entanglement and explore some geometrical features of the state-space trajectories followed by a system of four non-interacting qubits interacting with a classical environmental random telegraph noise (RTN) in common and independent environments
We find that the amount of entanglement quantified in terms of negativity and lower bound to multi-qubit concurrence (LBC) result to be higher than the one detected by the WG(4H) Z entanglement witness in both regimes
Summary
It is well established that multi-partite entangled states are powerful and indispensable resources for emerging quantum technologies such as quantum communication [1,2,3], quantum computing [4], quantum metrology [5] and quantum imaging [6]. The ultimate threat to the reliable practical implementation of quantum technologies base on creation and manipulation of multi-partite entangled states is the phenomenon of decoherence which is due to the unavoidable interaction of the quantum system with its external environment (open quantum system). Such an interaction, independently to the quantum or classical nature of the external environment, is very fatal to the survival of the amount of quantum entanglement between the different constituent parts of a multi-partite quantum system [7, 8]. It Innovation-Entrepreneuriat (PRIE), Institut Universitaire de la Cote, BP 3001 Douala, Cameroon
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