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Quantum Algorithms
Optimality of Gaussian Entanglement of Formation
arXiv
Authors: Gerardo Adesso
Year
2026
Paper ID
73903
Status
Preprint
Abstract Read
~2 min
Abstract Words
76
Citations
N/A
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.
Why This Paper Matters
- It adds a 2026 reference point for readers tracking recent quantum research.
- 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...
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