Temporal limitations and digital data processing in continuous variable measurements of non-Gaussian states

TL;DR

This paper investigates how the temporal resolution and digital data processing limitations in continuous wave light experiments affect the accurate reconstruction of non-Gaussian quantum states, highlighting practical constraints in experimental quantum optics.

Contribution

It provides an analysis of the impact of detection and data processing limitations on the fidelity of reconstructed non-Gaussian states in quantum optics experiments.

Findings

Temporal resolution affects state reconstruction accuracy

Digital data processing limitations influence quantum state fidelity

Practical constraints are identified for experimental resource optimization

Abstract

Non-Gaussian quantum states and operations are essential tools for multiple quantum information protocols exploiting light as information career. In this context, a key role is played by schemes operating with continuous wave light, in which non-Gaussian states are obtained by photon subtraction/addition and eventually reconstructed by quantum state tomography. In these configurations, the temporal resolution of the homodyne detection and the digital data processing critically affect our ability to faithfully reconstruct the produced non-Gaussian states. In this work, we apply digital data processing to experimental data to study how the temporal performances of the detection chain affect the acquisition and treatment of tomographic data. This allows understanding how these features impact the quality of quantum states observed by non-ideal detection chains. By doing so, we discuss the actual constraints on the acquisition and reconstruction of non-Gaussian states by taking into account the limitations of realistic experimental resources.