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arXiv · 2610.06791

Local universality of non-local quantum resources in rotationally invariant scattering

Silas R. Beane·Roland C. Farrell
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Abstract

Elastic scattering can generate entanglement and non-local magic between the spins of the two outgoing particles. The amount of entanglement and magic produced is encoded in the S-matrix; a unitary quantum gate that acts on the joint Hilbert space of the two spin-J particles. Previous work derived the entanglement power in terms of the scattering phase shifts for rotationally invariant S-matrices with J=1/2,1,3/2. In this paper, a closed form solution is derived for all J. We further prove that a broad class of non-local quantum resources depend to leading order only on the squared projective Hilbert-Schmidt distance from the nearest non-entangling gate. This holds for the entanglement power and non-local magic power, and the choice of resource simply changes the overall normalization. This universality establishes a common geometric origin for the leading resource-generating capacity of scattering, independent of the details of the interaction.

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Silas R. Beane, Roland C. Farrell. 2026-10-05. Local universality of non-local quantum resources in rotationally invariant scattering. https://arxiv.org/abs/2610.06791

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