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Generating stationary entangled states in superconducting qubits

Jing Zhang, Yu-xi Liu, Chun-Wen Li, Tzyh-Jong Tarn, Franco Nori

DOI 10.1103/PhysRevA.79.052308 · Physical Review A

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Abstract

When a two-qubit system is initially maximally entangled, two independent decoherence channels, one per qubit, would greatly reduce the entanglement of the two-qubit system when it reaches its stationary state. We propose a method on how to minimize such a loss of entanglement in open quantum systems. We find that the quantum entanglement of general two-qubit systems with controllable parameters can be controlled by tuning both the single-qubit parameters and the two-qubit coupling strengths. Indeed, the maximum fidelity Fmax between the stationary entangled state, ρ∞, and the maximally entangled state, ρm, can be about 2/3≈max{tr(ρ∞ρm)}=Fmax, corresponding to a maximum stationary concurrence, Cmax, of about 1/3≈C(ρ∞)=Cmax. This is significant because the quantum entanglement of the two-qubit system can be produced and kept, even for a long time. We apply our proposal to several types of two-qubit superconducting circuits and show how the entanglement of these two-qubit circuits can be optimized by varying experimentally controllable parameters.

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