Extreme phase and rotated quadrature measurements
Juha-Pekka Pellonp\"a\"a

TL;DR
This paper characterizes the extreme points of the convex set of covariant phase observables and fuzzy rotated quadratures, identifying optimal phase measurements for laser light free from classical randomness.
Contribution
It provides a complete characterization of the extremals of covariant phase observables and fuzzy rotated quadratures, advancing the understanding of optimal quantum phase measurements.
Findings
Identified the extremal covariant phase observables.
Characterized the extremal fuzzy rotated quadratures.
Established the optimality of these extremals for phase measurement.
Abstract
We determine the extreme points of the convex set of covariant phase observables. Such extremals describe the best phase parameter measurements of laser light - the best in the sense that they are free from classical randomness due to fluctuations in the measuring procedure. We also characterize extreme fuzzy rotated quadratures.
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