Quantum metrology at the limit with extremal Majorana constellations

TL;DR

This paper demonstrates the experimental realization of extremal Majorana states, called Kings of Quantumness, in high-dimensional photon states, showcasing their potential for quantum-enhanced rotation measurements at the Heisenberg limit.

Contribution

The authors experimentally generate and verify the high-dimensional orbital angular momentum states known as Kings of Quantumness, advancing quantum metrology capabilities.

Findings

Achieved generation of up to 21-dimensional orbital angular momentum states.

Confirmed high sensitivity and Heisenberg-limit scaling of the states.

Demonstrated robustness of these states for rotation estimation.

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.