Quantum Steering Geometry at High Energy Particle Colliders
- URL: http://arxiv.org/abs/2608.30037v1
- Date: Sun, 30 Aug 2026 20:53:58 GMT
- Title: Quantum Steering Geometry at High Energy Particle Colliders
- Abstract summary: We formulate collider observables based on quantum steering ellipsoids (QSEs)<n>A collider spin density matrix defines a two-qubit state, while its QSE gives the geometry of conditional states accessible through local measurements.
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- License: http://creativecommons.org/licenses/by/4.0/
- 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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