Relating the Entanglement and Optical Nonclassicality of Multimode States of a Bosonic Quantum Field

Anaelle Hertz (1) , Nicolas Cerf (2) , Stephan De Bièvre (3)

1 Department of Physics [Toronto]
2 CAMPUS DU SOLBOSCH - Campus du Solbosch
3 Paradyse - Systèmes de particules et systèmes dynamiques

The quantum nature of the state of a bosonic quantum field manifests itself in its entanglement, coherence, or optical nonclassicality which are each known to be resources for quantum computing or metrology. We provide quantitative and computable bounds relating entanglement measures with optical nonclassicality measures. These bounds imply that strongly entangled states must necessarily be strongly optically nonclassical. As an application, we infer strong bounds on the entanglement that can be produced with an optically nonclassical state impinging on a beam splitter. For Gaussian states, we analyze the link between the logarithmic negativity and a specific nonclassicality witness called "quadrature coherence scale".

Domaines: Physique Quantique [quant-ph]; Physique mathématique [math-ph]

Anaelle Hertz, Nicolas Cerf, Stephan De Bièvre. Relating the Entanglement and Optical Nonclassicality of Multimode States of a Bosonic Quantum Field. Physical Review A, 2020, ⟨10.1103/PhysRevA.102.032413⟩. ⟨hal-02557297⟩