Entanglement in systems with continuous degrees of freedom

Characterize and analyze entanglement in quantum systems that possess continuous degrees of freedom, developing frameworks that rigorously identify, describe, and handle entanglement in continuous-variable settings.

Background

The authors highlight that understanding entanglement for systems with continuous degrees of freedom remains unresolved. This refers to continuous-variable quantum systems, such as modes of the electromagnetic field, where entanglement criteria and operational tools are more complex than in finite-dimensional cases.

Progress on this problem is crucial for bridging theoretical insights with experimental platforms that naturally operate in continuous-variable regimes.

References

In spite of continuous progress, the current state of entanglement theory is still marked by a number of outstanding unresolved problems. These problems range from the complete classification of mixed-state bipartite entanglement to entanglement in systems with continuous degrees of freedom, and the classification and quantification of multipartite entanglement for arbitrary quantum states.

— Epistemic vs Ontic Classification of quantum entangled states?  (1206.2916 - Caponigro et al., 2012) in Section 'Systems and Partitions', opening paragraph