Enhancing parameter precision of optimal quantum estimation by direct quantum feedback

Abstract

Various schemes have been proposed to overcome the drawback of the decoherence on quantum-enhanced parameter estimation. Here we suggest an alternative method, quantum feedback, to enhance the parameter precision of optimal quantum estimation of a dissipative qubit by investigating its dynamics of quantum Fisher information. We find that compared with the case without feedback, the quantum Fisher information of the dissipative qubit in the case of feedback has a large maximum value in time evolution and a smaller decay rate in the long time.

6 pages, 8 figures, accepted for publication in Physical Review A

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• Quantum metrology enhanced by coherence-induced-driving in a cavity QED setup
• Time-local optimal control for parameter estimation in the Gaussian regime
• Surpassing the shot-noise limit by homodyne-mediated feedback
• Preservation of quantum Fisher information and geometric phase of a single qubit system in a dissipative reservoir through the addition of qubits
• Improving quantum parameter estimation by monitoring quantum trajectories
• Quantum Fisher information and coherence of an atom in a dissipative cavity
• Enhancing precision of damping rate by PT symmetric Hamiltonian
• An upper bound on the number of compatible parameters in simultaneous quantum estimation