# Multiparticle Entanglement Resolution Analyzer based on Quantum-Control-Assisted Uncertainty Relation

## TL;DR

This paper introduces a quantum-control-assisted uncertainty relation that enables precise prediction of measurement outcomes and provides a novel method to classify multiparticle entanglement without full state knowledge.

## Contribution

It develops a new variance-based uncertainty relation leveraging quantum control to analyze and distinguish multiparticle entanglement classes.

## Key findings

- Defines 'multiparticle entanglement resolution lines' for classifying entangled states.
- Allows identification of entanglement classes with limited measurements.
- Does not require complete quantum state tomography.

## Abstract

We construct a quantum-control-assisted multi-observable variance-based uncertainty relation, and the uncertainty relation obtained indicates that we can prepare a quantum state, in which the measurement results of any observables can be predicted precisely with the help of quantum control and entanglement resource. The new variance-based uncertainty relation provides a concept of "multiparticle entanglement resolution lines" for multiparticle entangled pure states, that can delineate different multiparticle entanglement classes, and thus it can be considered as an analyzer of multiparticle entanglement classes. The analyzer is used to identify different multiparticle entanglement classes with a suitable number of incompatible measurements, without a complete knowledge of the quantum state.