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Paper 1

Quantum stabilizer codes from Abelian and non-Abelian groups association schemes

A. Naghipour, M. A. Jafarizadeh, S. Shahmorad

Year
2014
Journal
arXiv preprint
DOI
arXiv:1407.6228
arXiv
1407.6228

A new method for the construction of the binary quantum stabilizer codes is provided, where the construction is based on Abelian and non-Abelian groups association schemes. The association schemes based on non-Abelian groups are constructed by bases for the regular representation from U6n, T4n, V8n and dihedral D2n groups. By using Abelian group association schemes followed by cyclic groups and non-Abelian group association schemes a list of binary stabilizer codes up to 40 qubits is given in tables 4, 5, and 10. Moreover, several binary stabilizer codes of distances 5 and 7 with good quantum parameters is presented. The preference of this method specially for Abelian group association schemes is that one can construct any binary quantum stabilizer code with any distance by using the commutative structure of association schemes

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Paper 2

Quantum Information at the Electron-Ion Collider

Kun Cheng, Tao Han, Sokratis Trifinopoulos

Year
2025
Journal
arXiv preprint
DOI
arXiv:2510.23773
arXiv
2510.23773

We investigate quantum-information-theoretic observables in electron-proton scattering at the Electron-Ion Collider (EIC). Our analysis focuses on entanglement and magic, two complementary indicators of non-classicality in quantum states. We show that while unpolarized and longitudinally polarized beams yield unentangled separable outcomes, transverse beam polarization enables the generation of entangled and non-stabilizer states. This result holds for both elastic and deep inelastic electron-proton scattering in QED. In the deep inelastic regime, the degree of quantum correlation is governed by the transversity parton distribution functions, providing a novel perspective on spin dynamics within QCD. These results establish the EIC as a promising environment for generating entangled and non-stabilizer states in high-energy physics, and they highlight opportunities for future lepton-hadron colliders to extend such studies into new kinematic domains.

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