Optimal measurements for simultaneous quantum estimation of multiple phases
arXiv:1705.03687 · doi:10.1103/PhysRevLett.119.130504
Abstract
A quantum theory of multiphase estimation is crucial for quantum-enhanced sensing and imaging and may link quantum metrology to more complex quantum computation and communication protocols. In this letter we tackle one of the key difficulties of multiphase estimation: obtaining a measurement which saturates the fundamental sensitivity bounds. We derive necessary and sufficient conditions for projective measurements acting on pure states to saturate the maximal theoretical bound on precision given by the quantum Fisher information matrix. We apply our theory to the specific example of interferometric phase estimation using photon number measurements, a convenient choice in the laboratory. Our results thus introduce concepts and methods relevant to the future theoretical and experimental development of multiparameter estimation.
4 pages + appendix, 2 figures
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- Information geometry under hierarchical quantum measurement
- Optimal joint estimation of multiple Rabi frequencies
- Multiparameter simultaneous optimal estimation with an SU(2) coding unitary evolution
- Time-local optimal control for parameter estimation in the Gaussian regime
- Time Evolution and Thermodynamics for the Nonequilibrium System in Phase-Space
- Multiparameter estimation with two qubit probes in noisy channels
- Distributed Quantum Sensing with Squeezed-Vacuum Light in a Configurable Network of Mach-Zehnder Interferometers