Quantum discord and steering in top quarks at the LHC

Abstract

Top quarks have been recently shown to be a promising system to study quantum information at the highest-energy scale available. The current lines of research mostly discuss topics such as entanglement, Bell nonlocality or quantum tomography. Here, we provide the full picture of quantum correlations in top quarks by studying also quantum discord and steering. We find that both phenomena are present at the LHC. In particular, quantum discord in a separable quantum state is expected to be detected with high-statistical significance. Interestingly, due to the singular nature of the measurement process, quantum discord can be measured following its original definition, and the steering ellipsoid can be experimentally reconstructed, both highly-demanding measurements in conventional setups. In contrast to entanglement, the asymmetric nature of quantum discord and steering can provide witnesses of $CP$-violating physics beyond the Standard Model.

6 pages, 3 figures

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Cited by in corpus (34)

• Observation of quantum entanglement in top-quark pairs using the ATLAS detector
• When the Machine Chimes the Bell: Entanglement and Bell Inequalities with Boosted $t\bar{t}$
• Quantum tops at circular lepton colliders
• Quantum Information meets High-Energy Physics: Input to the update of the European Strategy for Particle Physics
• Optimizing Entanglement and Bell Inequality Violation in Top Anti-Top Events
• Entanglement and Bell nonlocality with bottom-quark pairs at hadron colliders
• Maximal violation of the Bell-Clauser-Horne-Shimony-Holt inequality via bumpified Haar wavelets
• Weyl operators, Tomita-Takesaki theory, and Bell-Clauser-Horne-Shimony-Holt inequality violations
• Quantum tomography of helicity states for general scattering processes
• Entanglement and Bell inequality violation in vector diboson systems produced in decays of spin-0 particles
• Quantum Tomography at Colliders: With or Without Decays
• Interference Resurrection of the $\tau$ Dipole through Quantum Tomography
• Numerical approach to the Bell-Clauser-Horne-Shimony-Holt inequality in quantum field theory
• Hadronic Top Quark Polarimetry with ParticleNet
• Climbing to the Top of the ATLAS 13 TeV data
• Entropic uncertainty relations and quantum Fisher information of top quarks in a large hadron collider
• Higher-Order Corrections to Quantum Observables in $h\to W{W}^{\ast }$
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• Analytical Insights on Hadronic Top Quark Polarimetry
• BRST invariant formulation of the Bell-CHSH inequality in gauge field theories
• Using Weyl operators to study Mermin's inequalities in Quantum Field Theory
• Quantum Entanglement in Top Quark Pair Production
• Quantum state tomography with muons
• From top quarks to enhanced quantum key distribution: A Framework for Optimal Predictability of Quantum Observables
• Nonlocal Advantage of Quantum Coherence in Top Quarks
• Ultimate Quantum Precision Limit at Colliders: Conditions and Case Studies
• Experimental characterization of the hierarchy of quantum correlations in top quark pairs
• Particle Collisions & Quantum Entanglement in High-Energy Collisions
• Genuine tripartite entanglement in Bhabha scattering with an entangled spectator particle
• Dynamical redistribution of quantum resources in tree-level Bhabha scattering
• Quantum mutual information, coherence and unified relations of top quarks in QCD processes
• Single-spin measurements and heavy new physics in the $e^{+}{e}^{-}\to t\bar{t}$ process at an FCC-ee
• Colliders are not Testing Locality via Bell's Inequality nor Providing an Unconditional Proof of Entanglement
• Protection of quantum steering ellipsoids in non-Markovian environments