Amplification of NOON States

TL;DR

This paper analyzes how NOON states, a type of non-Gaussian quantum state, behave under phase-insensitive amplification, showing they are more robust than Gaussian states in preserving entanglement.

Contribution

It provides an analytical expression for the density matrix of NOON states under amplification and compares their robustness to Gaussian states.

Findings

NOON states maintain entanglement better than Gaussian states during amplification.

Analytical density matrix derived for NOON states at arbitrary gain.

Quantitative evaluation of entanglement loss using logarithmic negativity.

Abstract

We examine the behavior of a Non Gaussian state like NOON state under phase insensitive amplification. We derive analytical result for the density matrix of the NOON state for arbitrary gain of the amplifier. We consider cases of both symmetric and antisymmetric amplification of the two modes of the NOON state. We quantitatively evaluate the loss of entanglement by the amplifier in terms of the logarithmic negativity parameter. We find that NOON states are more robust than their Gaussian counterparts.