Optimal control for Hamiltonian parameter estimation in non-commuting and bipartite quantum dynamics
arXiv:2205.02429 · doi:10.21468/SciPostPhys.13.6.121
Abstract
The ability to characterise a Hamiltonian with high precision is crucial for the implementation of quantum technologies. In addition to the well-developed approaches utilising optimal probe states and optimal measurements, the method of optimal control can be used to identify time-dependent pulses applied to the system to achieve higher precision in the estimation of Hamiltonian parameters, especially in the presence of noise. Here, we extend optimally controlled estimation schemes for single qubits to non-commuting dynamics as well as two interacting qubits, demonstrating improvements in terms of maximal precision, time-stability, as well as robustness over uncontrolled protocols.
Submission to SciPost Physics; 18 pages, 13 figures
References in corpus (13)
- Quantum metrology from a quantum information science perspective
- Using entanglement against noise in quantum metrology
- Fisher information under decoherence in Bloch representation
- Control-enhanced multiparameter quantum estimation
- Optimal Scheme for Quantum Metrology
- QuanEstimation: An open-source toolkit for quantum parameter estimation
- Learning feedback control strategies for quantum metrology
- Achieving optimal quantum acceleration of frequency estimation using adaptive coherent control
- Optimal measurements for quantum fidelity between Gaussian states and its relevance to quantum metrology
- Probe optimization for quantum metrology via closed-loop learning control
- Optimally controlled quantum discrimination and estimation
- Application of Pontryagin's Maximum Principle to Quantum Metrology in Dissipative Systems
- Time-local optimal control for parameter estimation in the Gaussian regime