Adaptive estimation of qubits by symmetry measurements

TL;DR

This paper presents an adaptive measurement strategy for estimating unknown qubit states using symmetry measurements, improving the accuracy of quantum state estimation with finite samples.

Contribution

It introduces a novel adaptive approach that enhances the fidelity of symmetry-based quantum state estimation compared to non-adaptive methods.

Findings

Adaptive strategy increases estimation fidelity.

Explicit description of the measurement process.

Improved accuracy with finite samples.

Abstract

We analyze quantum state estimation for finite samples based on symmetry information. The used measurement concept compares an unknown qubit to a reference state. We describe explicitly an adaptive strategy, that enhances the estimation fidelity of these measurements.