Quantum discord evolution of three-qubit states under noisy channels

Abstract

We investigated the dissipative dynamics of quantum discord for correlated qubits under Markovian environments. The basic idea in the present scheme is that quantum discord is more general, and possibly more robust and fundamental, than entanglement. We provide three initially correlated qubits in pure Greenberger-Horne-Zeilinger (GHZ) or W state and analyse the time evolution of the quantum discord under various dissipative channels such as: Pauli channels ${\sigma }_x$, ${\sigma }_y$, and ${\sigma }_z$, as well as depolarising channels. Surprisingly, we find that under the action of Pauli channel ${\sigma }_x$, the quantum discord of GHZ state is not affected by decoherence. For the remaining dissipative channels, the W state is more robust than the GHZ state against decoherence. Moreover, we compare the dynamics of entanglement with that of the quantum discord under the conditions in which disentanglement occurs and show that quantum discord is more robust than entanglement except for phase flip coupling of the three qubits system to the environment.

17 pages, 4 figures, accepted for publication in EPJ D

References in corpus (13)

• Finite-Time Disentanglement via Spontaneous Emission
• Quantum discord and the power of one qubit
• Experimental quantum computing without entanglement
• Robustness of quantum discord to sudden death
• Quantum discord and quantum phase transition in spin chains
• Vanishing quantum discord is necessary and sufficient for completely positive maps
• Entanglement dynamics of two independent qubits in environments with and without memory
• On the role of entanglement and correlations in mixed-state quantum computation
• GHZ versus W : Quantum Teleportation through Noisy Channels
• Quantum discord and local demons
• Local aspects of disentanglement induced by spontaneous emission
• Generalized information theoretic measure to discern the quantumness of correlations
• Entanglement dynamics of three-qubit states in noisy channels

Cited by in corpus (11)

• Tripartite entanglement: Foundations and applications
• Decoherence dynamics of geometric measure of quantum discord and measurement-induced nonlocality for noninertial observers at finite temperature
• Genuine multipartite system-environment correlations in decoherent dynamics
• Local quantum uncertainty for multipartite quantum systems
• Dynamics of multipartite quantum correlations under decoherence
• General quantum correlation from nonreal values of Kirkwood-Dirac quasiprobability over orthonormal product bases
• Correlation dynamics of three spin under a classical dephasing environment
• Dynamics of Entanglement and Nonclassical Correlation for Four-Qubit GHZ State
• Toward a quantum computing algorithm to quantify classical and quantum correlation of system states
• Quantum correlation evolution of GHZ and W states under noisy channels using ameliorated measurement-induced disturbance
• Dynamics of local quantum uncertainty among cavity-reservoir qubits