Angular performance measure for tighter uncertainty relations

TL;DR

This paper introduces a new angular performance measure that yields tighter uncertainty relations between angle and angular momentum, potentially improving experimental precision in quantum measurements.

Contribution

A novel angular performance measure is proposed, providing tighter uncertainty bounds for angle and angular momentum compared to previous approaches.

Findings

Tighter uncertainty relations are derived for angle and angular momentum.

Differences with previous bounds can be significant for certain quantum states.

The new bounds are potentially measurable with current technology.

Abstract

The uncertainty principle places a fundamental limit on the accuracy with which we can measure conjugate physical quantities. However, the fluctuations of these variables can be assessed in terms of different estimators. We propose a new angular performance that allows for tighter uncertainty relations for angle and angular momentum. The differences with previous bounds can be significant for particular states and indeed may be amenable to experimental measurement with the present technology.