Improving quantum synchronization by manipulating auxiliary qubits in a dissipative model

Abstract Quantum phase synchronization is studied in a dissipative model via an analytic approach. It is found that a robust phase preference using the Husimi Q -function against decoherence for both the Markovian and non-Markovian regimes can be obtained by manipulating auxiliary qubits in a reservoir. Specifically, we show that quantum phase synchronization can be significantly improved by adding a number of auxiliary qubits for both the Markovian and non-Markovian regimes. We also find that a steady quantum phase synchronization can be obtained in the long-time limit, which is only dependent on the number of auxiliary qubits regardless of the Markovian or non-Markovian regimes. We give some intuitive interpretations of the obtained results. Overall, our results are of theoretical interest in the enhancement of quantum phase synchronization in noisy environments, and may have potential applications in quantum information science.