Quantum Steering Geometry at High Energy Particle Colliders
Abstract
We formulate collider observables based on quantum steering ellipsoids (QSEs) for reconstructed bipartite systems of spin-1/2 particles. A collider spin density matrix defines a two-qubit state, while its QSE gives the geometry of conditional states accessible through local measurements. This makes the ellipsoid a direct probe of the quantum properties of fundamental particles, encoding polarization, spin correlation anisotropy, accessible-state volume, and the orientation of the dominant correlation axes. Using top-quark pair production as a benchmark process, we show how QSE observables organize the Standard Model spin state, probe entanglement, steerability, and Bell-nonlocality criteria, and use an expected precision metric to assess sensitivity to non-local correlations in the boosted central region. We show that different dimension-six operators generate distinctive QSE deformations, and provide a geometric interpretation of quantum information observables in high-energy particle physics. Quantum steering geometry therefore provides a unified framework for particle collider tomography, quantum information diagnostics, and precision searches for physics beyond the Standard Model with applications spanning the HL--LHC and future lepton, muon, flavor, and electron-ion collider programs.
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BibTeX
@misc{alvarez2026quantum,
title = {{Quantum Steering Geometry at High Energy Particle Colliders}},
author = {Juan J. Mejia Alvarez and Andrew J. Wildridge and Angelo Arisi and Juan M. Duarte-Quiros and Santosh Bhandari and Jingyan Li and Giulia Negro and Andreas W. Jung},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.30037},
eprint = {2608.30037},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.30037},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Quantum Steering Geometry at High Energy Particle Colliders
AU - Juan J. Mejia Alvarez
AU - Andrew J. Wildridge
AU - Angelo Arisi
AU - Juan M. Duarte-Quiros
AU - Santosh Bhandari
AU - Jingyan Li
AU - Giulia Negro
AU - Andreas W. Jung
PY - 2026
DA - 2026/08/30
PB - arXiv
DO - 10.48550/arxiv.2608.30037
UR - https://arxiv.org/abs/2608.30037
AB - We formulate collider observables based on quantum steering ellipsoids (QSEs) for reconstructed bipartite systems of spin-1/2 particles. A collider spin density matrix defines a two-qubit state, while its QSE gives the geometry of conditional states accessible through local measurements. This makes the ellipsoid a direct probe of the quantum properties of fundamental particles, encoding polarization, spin correlation anisotropy, accessible-state volume, and the orientation of the dominant correlation axes. Using top-quark pair production as a benchmark process, we show how QSE observables organize the Standard Model spin state, probe entanglement, steerability, and Bell-nonlocality criteria, and use an expected precision metric to assess sensitivity to non-local correlations in the boosted central region. We show that different dimension-six operators generate distinctive QSE deformations, and provide a geometric interpretation of quantum information observables in high-energy particle physics. Quantum steering geometry therefore provides a unified framework for particle collider tomography, quantum information diagnostics, and precision searches for physics beyond the Standard Model with applications spanning the HL--LHC and future lepton, muon, flavor, and electron-ion collider programs.
ER -