Decoherence dynamics of entangled quantum states in the $XXX$ central spin model

• URL: http://arxiv.org/abs/2001.04772v2
• Date: Mon, 9 Nov 2020 12:55:12 GMT
• Title: Decoherence dynamics of entangled quantum states in the $XXX$ central spin model
• Authors: Qing-Kun Wan, Hai-Long Shi, Xu Zhou, Xiao-Hui Wang, Wen-Li Yang
• Abstract summary: We study the central spin decoherence problem in the $XXX$ central spin model (CSM) We analytically obtain their evolutions of fidelity, entanglement, and quantum coherence. With the help of system-bath entanglement, we realize quantum coherence-enhanced dynamics for the central spin.
• Score: 9.455149858629378
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Maintaining coherence of a qubit is of vital importance for realizing a large-scale quantum computer in practice. In this work, we study the central spin decoherence problem in the $XXX$ central spin model (CSM) and focus on the quantum states with different initial entanglement, namely intra-bath entanglement or system-bath entanglement. We analytically obtain their evolutions of fidelity, entanglement, and quantum coherence. When the initial bath spins constitute an $N$-particle entangled state (the Greenberger-Horne-Zeilinger-bath or the $W$-bath), the leading amplitudes of their fidelity evolutions both scale as $\mathcal O(1/N)$, which is the same as the case of a fully polarized bath. However, when the central spin is maximally entangled with one of the bath spins, the amplitude scaling of its fidelity evolution declines from $\mathcal O(1/N)$ to $\mathcal O(1/N^2)$. That implies appropriate initial system-bath entanglement is contributive to suppress central spin decoherence. In addition, with the help of system-bath entanglement, we realize quantum coherence-enhanced dynamics for the central spin where the consumption of bath entanglement is shown to play a central role.

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