Optimality of Gaussian Entanglement of Formation

• URL: http://arxiv.org/abs/2608.01909v1
• Date: Mon, 03 Aug 2026 08:42:19 GMT
• Title: Optimality of Gaussian Entanglement of Formation
• Abstract summary: We prove that the entanglement of formation of every two-mode Gaussian state coincides with its Gaussian restriction.<n>Key result is a sharp affine relation between entanglement and a generalized Einstein-Podolsky-Rosen observable.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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