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arxiv: 2509.07585 · v1 · pith:RSL6SVR2new · submitted 2025-09-09 · ✦ hep-ph · hep-ex· quant-ph

Particle Collisions & Quantum Entanglement in High-Energy Collisions

Emidio Gabrielli This is my paper

Pith reviewed 2026-05-21 21:53 UTC · model grok-4.3

classification ✦ hep-ph hep-exquant-ph
keywords quantum entanglementBell inequalitieshigh-energy collisionsparticle collidersquantum state tomographyquantum informationlocal realism
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The pith

Particle colliders provide a new setting to probe quantum entanglement and Bell inequality violations at energies over ten orders of magnitude higher than previous experiments.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper examines how high-energy particle collisions can extend the study of quantum phenomena such as entanglement and Bell inequality violations, which were previously explored only in low-energy systems like entangled photons. Colliders operate in the presence of electroweak and strong interactions, offering a unique environment to test these quantum principles at much higher energies. Collider detectors also allow for quantum state reconstruction through tomography, providing advantages for quantum state analysis. A sympathetic reader would care because this bridges quantum information theory with high-energy physics, potentially revealing new insights into fundamental interactions and local realism.

Core claim

Particle colliders provide a novel setting for probing quantum information theory, operating at energies over ten orders of magnitude higher than previous experiments and in the presence of electroweak and strong interactions. Collider detectors offer unique advantages for quantum state reconstruction via quantum state tomography.

What carries the argument

Quantum state tomography performed by collider detectors to observe Bell inequality violations in high-energy particle collisions.

Load-bearing premise

Collider detectors can perform effective quantum state tomography and observe Bell inequality violations despite the complex electroweak and strong interactions present at high energies.

What would settle it

A clear failure to detect Bell inequality violations or to reconstruct entangled quantum states in collider experiments due to interaction complexities would challenge the claim.

Figures

Figures reproduced from arXiv: 2509.07585 by Emidio Gabrielli.

Figure 1
Figure 1. Figure 1: Unit vectors and momenta in the CM system [123], here specified for the production p p → ψψ¯. The angles θ − i define the directions of the final lepton in the rest frame of the fermion ψ with respect to the quantization axis. The same holds for ψ¯, while Θ is the scattering angle in the ψ − ψ¯ center of mass frame. (Figure from [31] under the CC BY 4.0 licence). In terms of these definitions, the normalis… view at source ↗
Figure 2
Figure 2. Figure 2: Feynman diagrams (at partonic tree-level) for top-antitop (tt¯) production, for gluon (gg) and quark￾pair (qq¯) initial states. (Figure from [31] under the CC BY 4.0 licence). The unpolarized differential cross section for the process p + p → t + t¯ (68) can be expressed as [52, 53, 123]: dσ dΩ dmtt¯ = α 2 sβt 64π 2m2 tt¯ n L gg(τ ) A˜gg[mtt¯, Θ] + L qq(τ ) A˜qq[mtt¯, Θ]o , (69) where the contributions fro… view at source ↗
Figure 3
Figure 3. Figure 3: The observables C [ρ] (contour plot on the left) and m12 (contour plot on the right) for tt¯ production as functions of the kinematic variables Θ and mtt¯ across the entire available space (they are symmetric for cos Θ < 0). (Figures from [31] and revised from [71] under the CC BY 4.0 licence). 2 In [103] it has been recognized that the observed entanglement is local in the energy region near the productio… view at source ↗
Figure 4
Figure 4. Figure 4: Feynman diagrams for the parton-level processes pp → W +W− (top), pp → ZZ (middle), and pp → W+Z (bottom) involving first-generation quarks. Higgs-mediated diagrams are omitted in the massless quark limit. Arrows on fermion lines indicate momentum flow. (Figure from [31] under the CC BY 4.0 licence). 27 [PITH_FULL_IMAGE:figures/full_fig_p027_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: The observables C2 (left) and I3 (right) for the process pp → W+W− are shown as functions of the invariant mass and scattering angle. (Figures from [31] and adapted from [69] under the CC BY 4.0 license.) The same study for the W+W− and ZZ production at e +e − and muon colliders has been performed in [69] via the process ℓ +ℓ − → W+W− , ZZ , (81) where ℓ = e, µ. In this case, due to the absence of PDF, the… view at source ↗
Figure 6
Figure 6. Figure 6: The observables C2 (left) and I3 (right) for the process pp → ZZ are shown as functions of the invariant mass and scattering angle.(Figures from [31] and adapted from [69] under the CC BY 4.0 license.) Regarding the W+W− production, in [69] it was shown that the violation of the Bell inequalities takes place in a range of the kinematic variables broader than in the LHC case and it is larger, while the theo… view at source ↗
Figure 7
Figure 7. Figure 7: Predictions of the entanglement entropy E (left) and Bell operator value I3 (right) in Higgs decays to WW∗ , as functions of the virtual mass 0 < MW∗ < 40GeV [69]. The dashed lines indicate ln 3 (left) and the Bell-violation threshold I3 > 2 (right). (Figures from [31] and adapted from [69] under the CC BY 4.0 licence) [PITH_FULL_IMAGE:figures/full_fig_p031_7.png] view at source ↗
Figure 8
Figure 8. Figure 8: Same as in Fig.7 but for the pair production of Z bosons in Higgs boson decays as functions of the virtual Z ∗ mass in the range 0 < MZ∗ < 32 GeV [69]. (Figures from [31] and adapted from [69] under the CC BY 4.0 licence). optimized in Cartesian planes. Due to two neutrinos in the final state, rest-frame reconstruction is uncertain: depending on momentum smearing, the significance of Bell violation ranges … view at source ↗
Figure 9
Figure 9. Figure 9: Concurrence (C ) and m12 for the e +e − → τ τ¯ pair production, as a function of the kinematic variables Θ and mττ¯ across the entire available space. (Figures from [31] and adapted from [71] under the CC BY 4.0 licence). The maximum value for both C [ρ] and m12 at SuperKEK are reached for scattering angles close to π/2, as shown in [PITH_FULL_IMAGE:figures/full_fig_p034_9.png] view at source ↗
read the original abstract

The exploration of fundamental quantum phenomena, such as entanglement and Bell inequality violations$-$extensively studied in low-energy regimes$-$has recently extended to high-energy particle collisions. Experimentally, Bell inequality violations, which challenge Einstein's principle of local realism, were first observed in low-energy entangled photon systems by A. Aspect, J. F. Clauser, and A. Zeilinger, earning them the 2022 Nobel Prize in Physics. Particle colliders provide a novel setting for probing quantum information theory, operating at energies over ten orders of magnitude higher than previous experiments and in the presence of electroweak and strong interactions. Additionally, collider detectors offer unique advantages for quantum state reconstruction via quantum state tomography. This book chapter reviews key theoretical and experimental advancements in this emerging field, highlighting its challenges, objectives, and potential impact on both quantum information theory and high-energy physics.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 1 minor

Summary. The manuscript is a book chapter reviewing the extension of quantum entanglement studies and Bell inequality tests from low-energy systems to high-energy particle collisions. It references the 2022 Nobel Prize for photon-based Bell tests, positions particle colliders as a novel high-energy platform operating over ten orders of magnitude higher in energy and involving electroweak and strong interactions, and highlights collider detectors' potential advantages for quantum state tomography. The chapter summarizes theoretical and experimental advancements, challenges, objectives, and possible impacts on quantum information theory and high-energy physics.

Significance. If the feasibility arguments hold, the review could help bridge quantum information and high-energy physics by drawing attention to an emerging interdisciplinary area. It correctly cites established low-energy results and identifies potential new experimental settings. As a synthesis of prior literature rather than an original derivation, its value lies in organizing existing work and flagging open questions for future study.

major comments (2)
  1. [Abstract] Abstract: the claim that 'collider detectors offer unique advantages for quantum state reconstruction via quantum state tomography' is load-bearing for the central thesis but is presented without quantitative discussion of reconstruction efficiencies, effects of final-state interactions, hadronization, or decoherence channels specific to high-energy regimes. The review format does not supply or cite explicit modeling that validates transfer of low-energy tomography methods.
  2. [Main text] Throughout: the review asserts that colliders enable Bell inequality tests 'despite the complex electroweak and strong interactions' yet provides no concrete treatment or citations to studies quantifying how these interactions affect entanglement witnesses or Bell correlators, leaving the weakest assumption unaddressed.
minor comments (1)
  1. Clarify whether the chapter includes any new synthesis or is strictly a compilation of existing references; add a dedicated section on detector resolution and acceptance effects if not already present.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the detailed and constructive report. We address the two major comments below, indicating where we will revise the manuscript to improve precision and support for the claims.

read point-by-point responses

  1. Referee: [Abstract] Abstract: the claim that 'collider detectors offer unique advantages for quantum state reconstruction via quantum state tomography' is load-bearing for the central thesis but is presented without quantitative discussion of reconstruction efficiencies, effects of final-state interactions, hadronization, or decoherence channels specific to high-energy regimes. The review format does not supply or cite explicit modeling that validates transfer of low-energy tomography methods.

    Authors: We agree that the abstract statement would be strengthened by additional context. The chapter is a review that cites existing literature on quantum state tomography applied to collider data, but we acknowledge the need for a more explicit summary of relevant quantitative aspects. We will revise the abstract for precision and insert a concise paragraph (with citations) in the main text that outlines reconstruction efficiencies, the role of final-state interactions, hadronization effects, and decoherence channels as discussed in the referenced studies. revision: yes

  2. Referee: [Main text] Throughout: the review asserts that colliders enable Bell inequality tests 'despite the complex electroweak and strong interactions' yet provides no concrete treatment or citations to studies quantifying how these interactions affect entanglement witnesses or Bell correlators, leaving the weakest assumption unaddressed.

    Authors: The manuscript references theoretical works that incorporate electroweak and strong interactions into entanglement and Bell-test analyses. However, we accept that a more direct treatment would address the concern. We will expand the relevant sections to include a brief overview of how these interactions are modeled in the cited literature, together with additional references that quantify their impact on entanglement witnesses and Bell correlators. revision: partial

Circularity Check

0 steps flagged

Review paper with no internal derivations or self-referential reductions

full rationale

The manuscript is presented as a book chapter that reviews existing theoretical and experimental work on quantum entanglement and Bell inequality violations in high-energy collisions. It cites external results such as the Aspect-Clauser-Zeilinger experiments and does not advance original derivations, fitted parameters, or first-principles predictions whose validity depends on the paper's own inputs. No equations, ansatze, or uniqueness claims are introduced that loop back to the paper's own content by construction. The central discussion of detector advantages for tomography rests on cited prior literature rather than any self-contained reduction, making the argument self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

This is a review paper; the abstract introduces no new free parameters, axioms, or invented entities. It relies on standard concepts from quantum mechanics and high-energy physics already established in the cited literature.

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Reference graph

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