Quantum metrology at the limit with extremal Majorana constellations

Abstract

Quantum metrology allows for a tremendous boost in the accuracy of measurement of diverse physical parameters. The estimation of a rotation constitutes a remarkable example of this quantum-enhanced precision. The recently introduced Kings of Quantumness are especially germane for this task when the rotation axis is unknown, as they have a sensitivity independent of that axis and they achieve a Heisenberg-limit scaling. Here, we report the experimental realization of these states by generating up to 21-dimensional orbital angular momentum states of single photons, and confirm their high metrological abilities.

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• Signatures of excited state quantum phase transitions in quantum many body systems: Phase space analysis
• Digital Discovery of 100 diverse Quantum Experiments with PyTheus
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• Majorana stellar representation for mixed-spin $(s,\frac{1}{2})$ systems
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• Robust quantum metrology with random Majorana constellations
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• Universality in fidelity-based quantum metrology