The Quantum Separability Problem for Gaussian States

TL;DR

This paper reviews the quantum separability problem for states in infinite-dimensional spaces, highlighting how it becomes manageable for Gaussian states, which are important in quantum information science.

Contribution

It demonstrates the tractability of the separability problem specifically for Gaussian states in infinite-dimensional Hilbert spaces.

Findings

The separability problem is generally complex in infinite dimensions.

Gaussian states allow for a more straightforward analysis of separability.

The paper provides a framework for understanding entanglement in Gaussian states.

Abstract

Determining whether a quantum state is separable or entangled is a problem of fundamental importance in quantum information science. This is a brief review in which we consider the problem for states in infinite dimensional Hilbert spaces. We show how the problem becomes tractable for a class of Gaussian states.