Entangled Qubits in a non-Gaussian Quantum State

TL;DR

This paper experimentally creates and characterizes a non-Gaussian bipartite entangled state, demonstrating entangled qubits within the density matrix and assessing its distillability and protocol applicability.

Contribution

It introduces a method to identify and analyze entangled qubits in a non-Gaussian state, highlighting asymmetric entanglement within a symmetric state.

Findings

Successfully generated a non-Gaussian entangled state

Identified entangled qubits in 2x2 subspaces of the density matrix

Proved the state's distillability and protocol applicability

Abstract

We experimentally generate and tomographically characterize a mixed, genuinely non-Gaussian bipartite continuous-variable entangled state. By testing entanglement in 2$\times$2-dimensional two-qubit subspaces, entangled qubits are localized within the density matrix, which, firstly, proves the distillability of the state and, secondly, is useful to estimate the efficiency and test the applicability of distillation protocols. In our example, the entangled qubits are arranged in the density matrix in an asymmetric way, i.e. entanglement is found between diverse qubits composed of different photon number states, although the entangled state is symmetric under exchanging the modes.