Disti-Mator: an entanglement distillation-based state estimator

TL;DR

This paper introduces Disti-Mator, a novel entanglement distillation-based method for efficiently estimating quantum states, reducing experimental effort and resource consumption in practical quantum information processing.

Contribution

The paper presents a new state estimator leveraging entanglement distillation protocols, enabling efficient characterization of Bell-diagonal states from measurement data.

Findings

Disti-Mator accurately estimates Bell-diagonal parameters.

The method reduces the need for separate state estimation protocols.

Numerical simulations confirm robustness in realistic settings.

Abstract

Minimizing both experimental effort and consumption of valuable quantum resources in state estimation is vital in practical quantum information processing. Here, we explore characterizing states as an additional benefit of the entanglement distillation protocols. We show that the Bell-diagonal parameters of any undistilled state can be efficiently estimated solely from the measurement statistics of probabilistic distillation protocols. We further introduce the state estimator `Disti-Mator' designed specifically for a realistic experimental setting, and exhibit its robustness through numerical simulations. Our results demonstrate that a separate estimation protocol can be circumvented whenever distillation is an indispensable communication-based task.