Optimal finite-dimensional probe states for quantum phase estimation under particle loss are found via constrained optimization, and a two-step measurement strategy achieves the ultimate precision limit as confirmed by numerical simulations.
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Gradient descent optimization reconstructs POVMs for phase-insensitive quantum detectors with higher or comparable fidelity to constrained convex optimization but in much less time.
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Optimal noisy quantum phase estimation with finite-dimensional states
Optimal finite-dimensional probe states for quantum phase estimation under particle loss are found via constrained optimization, and a two-step measurement strategy achieves the ultimate precision limit as confirmed by numerical simulations.
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Gradient-descent methods for scalable quantum detector tomography
Gradient descent optimization reconstructs POVMs for phase-insensitive quantum detectors with higher or comparable fidelity to constrained convex optimization but in much less time.