Gaussian fermionic embezzlement of entanglement

• URL: http://arxiv.org/abs/2509.15749v1
• Date: Fri, 19 Sep 2025 08:26:03 GMT
• Title: Gaussian fermionic embezzlement of entanglement
• Authors: Alessia Kera, Lauritz van Luijk, Alexander Stottmeister, Henrik Wilming,
• Abstract summary: We show that the embezzling property is in fact a generic property of fermionic Gaussian states.<n>We bridge finite-size systems to abstract characterizations based on the classification of von Neumann algebras.
• Score: 41.321581612257056
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Embezzlement of entanglement allows to extract arbitrary entangled states from a suitable embezzling state using only local operations while perturbing the resource state arbitrarily little. A natural family of embezzling states is given by ground states of non-interacting, critical fermions in one spatial dimension. This raises the question of whether the embezzlement operations can be restricted to Gaussian operations whenever one only wishes to extract Gaussian entangled states. We show that this is indeed the case and prove that the embezzling property is in fact a generic property of fermionic Gaussian states. Our results provide a fine-grained understanding of embezzlement of entanglement for fermionic Gaussian states in the finite-size regime and thereby bridge finite-size systems to abstract characterizations based on the classification of von Neumann algebras. To prove our results, we establish novel bounds relating the distance of covariances to the trace-distance of Gaussian states, which may be of independent interest.

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