Probing quantum entanglement with Generalized Parton Distributions at the Electron-Ion Collider

• URL: http://arxiv.org/abs/2511.04537v1
• Date: Thu, 06 Nov 2025 16:52:05 GMT
• Title: Probing quantum entanglement with Generalized Parton Distributions at the Electron-Ion Collider
• Abstract summary: We calculate the spin density matrix of exclusively produced quark and antiquark pairs.<n>The presence of both real and imaginary parts in the GPD amplitudes leads to a rich pattern of entanglement between the quark and the antiquark.<n>We also predict that massive quarks and antiquarks are transversely polarized, similar to the well-known transverse hyperon polarization in unpolarized collisions.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Within the collinear factorization framework based on Generalized Parton Distributions (GPDs), we calculate the spin density matrix of exclusively produced quark and antiquark pairs $u\bar{u}$, $d\bar{d}$, $s\bar{s}$, $c\bar{c}$, $b\bar{b}$ in Deep Inelastic Scattering. The presence of both real and imaginary parts in the GPD amplitudes leads to a rich pattern of entanglement between the quark and the antiquark. We map out kinematical regions where the pairs exhibit entanglement, Bell nonlocality and non-stabilizerness (`magic'). We also predict that massive quarks and antiquarks are transversely polarized, similar to the well-known transverse hyperon polarization in unpolarized collisions. In strangeness, charm and bottom productions, the polarization can reach 50-80% in certain kinematic regions in the low-energy runs of the Electron-Ion Collider.

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