Real-time parameter estimation for two-qubit systems based on hybrid control
arxiv(2024)
摘要
In this paper, we consider the real-time parameter estimation problem for a
ZZ-coupled system composed of two qubits in the presence of spontaneous
emission. To enhance the estimation precision of the coupling coefficient, we
first propose two different control schemes, where the first one is feedback
control based on quantum-jump detection, and the second one is hybrid control
combining Markovian feedback and Hamiltonian control. The simulation results
show that compared with free evolution, both control schemes can improve
parameter precision and extend system coherence time. Next, on the basis of the
two control schemes, we propose a practical single-parameter quantum recovery
protocol based on Bayesian estimation theory. In this protocol, by employing
batch-style adaptive measurement rules, parameter recovery is conducted to
verify the effectiveness of both control schemes.
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