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Quantum information with top quarks in QCD

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arxiv 2203.05582 v2 pith:HOQBEJ57 submitted 2022-03-10 quant-ph hep-phhep-th

classification quant-phhep-phhep-th
keywords quantumstatepairviolationcolliderentanglementgeneralhigh-energy
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Top quarks represent unique high-energy systems since their spin correlations can be measured, thus allowing to study fundamental aspects of quantum mechanics with qubits at high-energy colliders. We present here the general framework of the quantum state of a top-antitop ($t\bar{t}$) quark pair produced through quantum chromodynamics (QCD) in a high-energy collider. We argue that, in general, the total quantum state that can be probed in a collider is given in terms of the production spin density matrix, which necessarily gives rise to a mixed state. We compute the quantum state of a $t\bar{t}$ pair produced from the most elementary QCD processes, finding the presence of entanglement and CHSH violation in different regions of phase space. We show that any realistic hadronic production of a $t\bar{t}$ pair is a statistical mixture of these elementary QCD processes. We focus on the experimentally relevant cases of proton-proton and proton-antiproton collisions, performed at the LHC and the Tevatron, analyzing the dependence of the quantum state with the energy of the collisions. We provide experimental observables for entanglement and CHSH-violation signatures. At the LHC, these signatures are given by the measurement of a single observable, which in the case of entanglement represents the violation of a Cauchy-Schwarz inequality. We extend the validity of the quantum tomography protocol for the $t\bar{t}$ pair proposed in the literature to more general quantum states, and for any production mechanism. Finally, we argue that a CHSH violation measured in a collider is only a weak form of violation of Bell's theorem, necessarily containing a number of loopholes.

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Cited by 12 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Qubit-qubit-qutrit quantum correlations in $H \to f \bar f V$

    quant-ph 2026-07 conditional novelty 7.0 of 10

    In h→τ^-τ^+ Z decays, the spin state is genuinely qubit-qubit-qutrit entangled almost everywhere, violates Bell inequalities throughout, and carries up to 1.95 bits of non-local magic.

  2. Quantum detection of CP violation in the $t\bar{t}$ system: tomography

    hep-ph 2026-07 conditional novelty 6.0 of 10

    Polar-angle tomography reconstructs the ttbar production density matrix while b–lepton azimuthal sine modulations linearly probe CP-odd Wtb decay couplings, separating production from decay CP violation.

  3. Quantum detection of CP violation in the $t\bar{t}$ system: production

    hep-ph 2026-07 conditional novelty 6.0 of 10

    CP-odd SMEFT top interactions appear as ΔB and antisymmetric C_A in the tt̄ production density matrix; direct markers beat most QI measures for CP sensitivity at LHC and FCC-ee.

  4. Experimental prospects for quantum decoherence measurements at colliders

    hep-ph 2026-04 unverdicted novelty 6.0 of 10

    Hard final-state radiation measurably destroys the spin entanglement of fermion-antifermion pairs, and the effect should already be visible in LHC ttbar+jet and Belle II tau+tau-gamma data.

  5. Quantum Tomography and Entanglement in Semi-Leptonic $h\to VV^*$ Decays at Higher Orders

    hep-ph 2026-04 unverdicted novelty 6.0 of 10

    Semi-leptonic h→VV* decays retain an effective two-qutrit quantum description under NLO QCD and electroweak corrections, unlike the fully leptonic h→4ℓ channel.

  6. Extracting a Toponium Signal at the LHC with Spin and Quantum Information Tools

    hep-ph 2026-02 conditional novelty 6.0 of 10

    Spin and quantum-information observables add only marginal statistical power beyond kinematic variables for isolating toponium in near-threshold top-pair events, but improve interpretability.

  7. Experimental characterization of the hierarchy of quantum correlations in top quark pairs

    quant-ph 2026-02 conditional novelty 6.0 of 10

    LHC top-quark data show quantum discord at >5σ, first evidence for steering at >3σ, no Bell correlations, and nonzero magic.

  8. Parameter Inference from Final-State Entanglement in Higgs Decays

    hep-ph 2025-11 conditional novelty 6.0 of 10

    With a spin/color-weighted entanglement entropy built from Higgs branching ratios, the Standard Model Higgs and W masses sit near the global maximum, and the preferred coupling ratio is SM-like.

  9. Entanglement, Yang-Mills, and the Scattering Matrix as an SU(N)-equivariant Kernel

    hep-ph 2025-11 conditional novelty 6.0 of 10

    SU(N) symmetry fixes the entangling power of 2→2 scattering: Yang-Mills adjoint scattering has a group-only entanglement maximum at 90° (3/4 for SU(2), ≈0.91 for SU(3)), and maximal-entanglement preservation selects t...

  10. Spin versus Magic: Lessons from Gluon and Graviton Scattering

    hep-th 2025-08 accept novelty 6.0 of 10

    For 2 to 2 scattering of massless spin-1/2 to spin-2 particles, the averaged generated magic decreases monotonically with spin, with maxima well below the two-qubit upper bound.

  11. Quantum spin correlations in $Z^\prime$-mediated $t\bar{t}$ production at future lepton colliders

    hep-ph 2026-07 conditional novelty 5.0 of 10

    Quantum spin observables of t-bar-t pairs at future lepton colliders can distinguish chiral U(1)_X Z′ charge assignments, and polarized e−e+ beams isolate left- vs right-handed lepton couplings.

  12. Colliders are Testing neither Locality via Bell's Inequality nor Entanglement versus Non-Entanglement

    hep-ph 2025-07 conditional novelty 4.0 of 10

    Collider measurements of final-state momenta alone cannot certify Bell nonlocality or entanglement, because the measured angular distribution is itself a local hidden variable model.

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