Universal and Maximal Entanglement Swapping in General Fermionic Gaussian States

• URL: http://arxiv.org/abs/2512.15890v1
• Date: Wed, 17 Dec 2025 19:05:17 GMT
• Title: Universal and Maximal Entanglement Swapping in General Fermionic Gaussian States
• Authors: Jiyuan Fang, Qicheng Tang, Xueda Wen,
• Abstract summary: We find a universal mechanism for realizing maximal entanglement swapping in fermionic Gaussian states subjected to projective Bell measurements.<n>We derive this post-measurement state exactly for general particle-number-conserving fermionic Gaussian states.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Exploring universal entanglement structure in many-body systems is both fundamental and challenging, particularly when the system undergoes non-unitary operations. In this work, we uncover a universal mechanism for realizing maximal entanglement swapping in fermionic Gaussian states subjected to projective Bell measurements. We consider two initially decoupled, half-filled copies of a free-fermion system in arbitrary dimensions and perform post-selective Bell measurements on half of the corresponding sites across the two copies. Remarkably, the post-measurement state factorizes into a product of Bell pairs, establishing maximal interlayer entanglement entirely independent of the initial Gaussian state. We derive this post-measurement state exactly for general particle-number-conserving fermionic Gaussian states, establishing both the validity and universality of the mechanism, with numerical simulations serving as consistency checks. This phenomenon arises from a robust interplay between fermionic statistics and Gaussianity, revealing a distinct fermionic route to measurement-induced maximal entanglement.

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