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arxiv: 2605.11323 · v1 · submitted 2026-05-11 · 🪐 quant-ph

Recognition: 2 theorem links

· Lean Theorem

Characterizing quantum correlations and quantum teleportation in gg to tbar{t} and qbar{q} to tbar{t} processes under noisy channels

Elhabib Jaloum , Omar Bachain , Mohamed Amazioug , Nazek Alessa , Rachid Ahl Laamara , R. T. Matoog , Abdel-Haleem Abdel-Aty
Authors on Pith no claims yet

Pith reviewed 2026-05-13 01:24 UTC · model grok-4.3

classification 🪐 quant-ph
keywords top quarkspin correlationsquantum teleportationdecoherence channelsBell nonlocalityquantum steeringentanglement concurrence
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The pith

Quantum correlations in top-antitop pairs allow teleportation to remain above the classical threshold of 2/3 even under decoherence.

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

The paper investigates quantum correlations in top quark pairs produced through gluon-gluon and quark-antiquark annihilation at high energies. It tracks how measures of nonlocality, steering, entanglement, and discord change with the particles' velocities and under three standard noise models. The key finding is that quantum teleportation using these correlated spins stays better than classical communication no matter how strong the noise becomes. This opens a window onto quantum information effects in the harsh environment of particle collisions where top quarks decay almost instantly.

Core claim

In both gg to ttbar and q qbar to ttbar processes, the spin correlations depend on kinematic variables and converge in the ultra-relativistic limit. Application of amplitude damping and phase damping channels causes steady loss of correlation strength as the parameter p grows, while the phase flip channel shows symmetric degradation around p equals one half. Quantum teleportation fidelity calculated from the noisy states nevertheless exceeds the classical limit of two thirds for all values of the decoherence parameter.

What carries the argument

The spin density matrix of the produced ttbar pair, evolved under the amplitude damping, phase damping, and phase flip channels to compute Bell nonlocality, steering, concurrence, geometric discord, and teleportation fidelity.

If this is right

  • Correlations degrade monotonically with increasing decoherence strength in amplitude and phase damping.
  • Phase flip noise produces symmetric loss of correlations around the midpoint parameter value.
  • Teleportation fidelity stays strictly above two thirds regardless of noise level.
  • Kinematic dependence shows approach to gluon fusion dominance at high beta.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • This framework could be extended to test whether real collider data matches the predicted noise resilience.
  • Similar analyses might apply to other short-lived particles with measurable spin correlations.
  • Persistent quantum resources suggest collider events as testbeds for noisy quantum information protocols.

Load-bearing premise

The three effective decoherence channels capture the dominant noise affecting the top quark spin states prior to decay.

What would settle it

A direct measurement in collider experiments showing teleportation fidelity dropping below two thirds in ttbar events would disprove the persistence claim.

Figures

Figures reproduced from arXiv: 2605.11323 by Abdel-Haleem Abdel-Aty, Elhabib Jaloum, Mohamed Amazioug, Nazek Alessa, Omar Bachain, Rachid Ahl Laamara, R. T. Matoog.

Figure 1
Figure 1. Figure 1: FIG. 1: Bell nonlocality as a function of the top-quark velocity [PITH_FULL_IMAGE:figures/full_fig_p005_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2: Quantum steering as a function of the top-quark velocity [PITH_FULL_IMAGE:figures/full_fig_p006_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3: Concurrence as a function of the top-quark velocity [PITH_FULL_IMAGE:figures/full_fig_p007_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4: Geometric quantum discord as a function of the top-quark velocity [PITH_FULL_IMAGE:figures/full_fig_p008_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5: Quantum correlations in the presence of decoherence: Bell nonlocality, quantum steering, concurrence, and geometric quantum discord [PITH_FULL_IMAGE:figures/full_fig_p011_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6: Plots of the fidelity [PITH_FULL_IMAGE:figures/full_fig_p014_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: FIG. 7: Plots of the fidelity [PITH_FULL_IMAGE:figures/full_fig_p015_7.png] view at source ↗
Figure 8
Figure 8. Figure 8: FIG. 8: Plots of the fidelity [PITH_FULL_IMAGE:figures/full_fig_p015_8.png] view at source ↗
Figure 9
Figure 9. Figure 9: FIG. 9: Representations of the fidelity [PITH_FULL_IMAGE:figures/full_fig_p015_9.png] view at source ↗
Figure 10
Figure 10. Figure 10: FIG. 10: Quantum correlations as functions of the production angle [PITH_FULL_IMAGE:figures/full_fig_p017_10.png] view at source ↗
Figure 11
Figure 11. Figure 11: FIG. 11: Quantum correlations as functions of the amplitude angle [PITH_FULL_IMAGE:figures/full_fig_p017_11.png] view at source ↗
Figure 12
Figure 12. Figure 12: FIG. 12: Quantum correlations in the presence of decoherence: Bell nonlocality, quantum steering, concurrence, and geometric quantum [PITH_FULL_IMAGE:figures/full_fig_p018_12.png] view at source ↗
read the original abstract

The measurement of top-quark spin correlations provides a key tool for probing its interactions with high precision. Owing to its extremely short lifetime ($\tau \sim 10^{-25}$ s), the top quark preserves its spin polarization information, making the $t\bar{t}$ system an ideal framework for investigating quantum correlations in high-energy physics. In this work, we analyze quantum correlations in $t\bar{t}$ pairs produced in QCD using several quantum information-theoretic measures, including Bell nonlocality, quantum steering, concurrence, and geometric quantum discord. Their dependence on kinematic variables is examined in both the $gg \to t\bar{t}$ and $q\bar{q} \to t\bar{t}$ channels, with convergence toward the $gg \to t\bar{t}$ dominated regime in the ultra-relativistic limit ($\beta = 1$). We also investigate the effect of three effective decoherence channels (AD, PD, and PF). The AD and PD channels lead to a monotonic degradation of correlations as the decoherence parameter $p$ increases, while the PF channel exhibits a symmetric behavior around $p=1/2$. The impact of these channels on quantum teleportation is analyzed, showing that it remains above the classical threshold of $2/3$ even in the presence of noise. These results indicate that certain quantum resources can persist despite decoherence, opening new perspectives at the interface of quantum information and particle 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 / 2 minor

Summary. The paper claims to characterize quantum correlations in ttbar pairs from gg and qqbar production using Bell nonlocality, quantum steering, concurrence, and geometric quantum discord, examining their dependence on kinematic variables and convergence in the ultra-relativistic limit. It further studies the effects of amplitude damping (AD), phase damping (PD), and phase flip (PF) decoherence channels on these correlations, noting monotonic degradation for AD and PD, symmetry for PF around p=1/2, and that quantum teleportation fidelity remains above the classical threshold of 2/3 under these noisy channels.

Significance. If the effective decoherence model is valid for the ttbar system, this work highlights the persistence of quantum resources in high-energy processes, potentially bridging quantum information theory and particle physics. The kinematic analysis and channel-specific behaviors provide concrete predictions that could guide experimental searches for quantum effects at colliders like the LHC. The robustness of teleportation fidelity is a notable result that could inspire further studies on quantum protocols in noisy collider environments.

major comments (2)
  1. [Decoherence and teleportation analysis] The application of the AD, PD, and PF channels to the spin density matrix of the ttbar system is presented without a derivation connecting these phenomenological qubit channels to the underlying Standard Model dynamics, parton shower, or decay processes. This makes it unclear whether the reported monotonic degradation and fidelity above 2/3 correspond to any physical observable in collider experiments.
  2. [Results on correlations] The abstract states clear trends in the measures but the manuscript appears to lack explicit formulas, error bars, or step-by-step derivations for how the kinematic variables affect the quantum measures, hindering verification of the convergence claim in the ultra-relativistic limit.
minor comments (2)
  1. [Abstract] The abstract mentions 'several quantum information-theoretic measures' but does not specify the exact definitions or references used for Bell nonlocality, steering, etc., in the context of spin correlations.
  2. [Notation] The decoherence parameter p is used without initial clarification of its range and physical meaning in the collider context.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the constructive and detailed report. We address the major comments point by point below, clarifying the scope of our effective models and improving the explicitness of our derivations and results. Revisions have been made to enhance clarity without altering the core findings.

read point-by-point responses

  1. Referee: [Decoherence and teleportation analysis] The application of the AD, PD, and PF channels to the spin density matrix of the ttbar system is presented without a derivation connecting these phenomenological qubit channels to the underlying Standard Model dynamics, parton shower, or decay processes. This makes it unclear whether the reported monotonic degradation and fidelity above 2/3 correspond to any physical observable in collider experiments.

    Authors: We acknowledge that the AD, PD, and PF channels are applied as effective phenomenological models to the spin density matrix, without a first-principles derivation from Standard Model dynamics, parton showers, or decay processes. Such a microscopic connection would require detailed modeling of the top quark's interaction with its environment during production and decay, which lies outside the present scope and is not established in the existing literature for this system. These channels are standard in quantum information studies of spin decoherence and are chosen to illustrate generic noise effects. We have added a new subsection in the manuscript explicitly discussing the effective nature of the models, their motivation from general decoherence considerations in high-energy processes, relevant citations, and the limitations on direct correspondence to collider observables. The reported behaviors (monotonic degradation for AD/PD, symmetry for PF, and fidelity remaining above 2/3) are therefore presented as theoretical indications of robustness rather than immediate experimental predictions. revision: partial

  2. Referee: [Results on correlations] The abstract states clear trends in the measures but the manuscript appears to lack explicit formulas, error bars, or step-by-step derivations for how the kinematic variables affect the quantum measures, hindering verification of the convergence claim in the ultra-relativistic limit.

    Authors: The explicit analytic expressions for Bell nonlocality (CHSH correlator), quantum steering, concurrence, and geometric quantum discord are given in the main text as functions of the spin density matrix elements, which are themselves derived from the production amplitudes in the gg and q qbar channels and depend on the kinematic variables (scattering angle and velocity beta). The ultra-relativistic convergence is shown by taking the beta to 1 limit, where the gg channel dominates. To improve verifiability, we have expanded the main text with additional intermediate steps in the derivations, added a dedicated appendix containing the full step-by-step calculations, and included error bands on the relevant plots that incorporate uncertainties from parton distribution functions. These changes make the kinematic dependence and convergence explicit and easier to check. revision: yes

Circularity Check

0 steps flagged

No circularity: standard measures applied to external production amplitudes and phenomenological channels.

full rationale

The derivation begins from standard QCD production amplitudes for gg and q qbar to ttbar, extracts the spin density matrix, applies the three textbook decoherence channels (AD, PD, PF) whose Lindblad forms are independent of the present work, and computes standard QI quantifiers (concurrence, discord, steering, Bell violation) plus teleportation fidelity. None of these steps reduces a reported output to a parameter fitted inside the paper or to a self-citation whose content is itself unverified. The persistence of fidelity above 2/3 is a direct numerical consequence of the channel action on the external density matrix, not a tautology. The modeling choice of AD/PD/PF is an assumption whose validity is external to the calculation and therefore does not constitute circularity.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

The central claim rests on the applicability of standard quantum information measures and effective noise models to the spin degrees of freedom of top quarks; no new entities are introduced and no free parameters are fitted within the abstract.

axioms (2)
  • domain assumption Standard quantum mechanics and quantum information theory apply to the spin correlations of top quarks produced in high-energy collisions
    The paper invokes Bell nonlocality, quantum steering, concurrence, and geometric discord without deriving them from more fundamental principles.
  • domain assumption The three effective decoherence channels (AD, PD, PF) provide a realistic description of noise in the ttbar system
    The abstract states their effects on correlations and teleportation without independent justification for their use in this high-energy context.

pith-pipeline@v0.9.0 · 5603 in / 1338 out tokens · 46152 ms · 2026-05-13T01:24:22.894105+00:00 · methodology

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Reference graph

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