Optimality of Gaussian Entanglement of Formation

Abstract:We prove that the entanglement of formation of every two-mode Gaussian state coincides with its Gaussian restriction, solving a longstanding open problem in continuous variable quantum information theory. The key result is a sharp affine relation between entanglement and a generalized Einstein-Podolsky-Rosen observable, valid for arbitrary pure two-mode states, including non-Gaussian ones. Our result extends to bisymmetric multimode Gaussian states, and also provides a measurable lower bound on the entanglement of formation of arbitrary non-Gaussian states.

Quantum Physics (quant-ph); Statistical Mechanics (cond-mat.stat-mech); Mathematical Physics (math-ph)

arXiv:2608.01909 [quant-ph]

(or arXiv:2608.01909v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2608.01909 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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