# Data-pattern tomography of entangled states

## TL;DR

This paper presents a data-pattern tomography method for accurately reconstructing entangled states of light, demonstrating stability against noise and preserving entanglement properties with a moderate number of probe states.

## Contribution

It introduces a practical tomography approach for entangled light states that maintains high accuracy and robustness with limited probe states and finite response sets.

## Key findings

- High accuracy in representing single- and two-mode entangled states
- Stable reconstruction under noise conditions
- Reliable inference of entanglement preservation

## Abstract

We discuss the data-pattern tomography for reconstruction of entangled states of light. We show that for a moderate number of probe coherent states it is possible to achieve high accuracy of representation not only for single-mode states but also for two-mode entangled states. We analyze the stability of these representations to the noise and demonstrate the conservation of the purity and entanglement. Simulating the probe and signal measurements, we show that systematic error inherent for representation of realistic signal response with finite sets of responses from probe states still allows one to infer reliably the signal states preserving entanglement.