Maximal stabilizer Rényi entropy for two-qutrit states is ln(81/17), achieved at 18 degenerate maxima; a general prime-d formula ln[d⁴/(2d²−1)] is conjectured and verified for d=2,3,5.
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Entanglement of Formation of an Arbitrary State of Two Qubits
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abstract
The entanglement of a pure state of a pair of quantum systems is defined as the entropy of either member of the pair. The entanglement of formation of a mixed state is defined as the minimum average entanglement of an ensemble of pure states that represents the given mixed state. An earlier paper [Phys. Rev. Lett. 78, 5022 (1997)] conjectured an explicit formula for the entanglement of formation of a pair of binary quantum objects (qubits) as a function of their density matrix, and proved the formula to be true for a special class of mixed states. The present paper extends the proof to arbitrary states of this system and shows how to construct entanglement-minimizing pure-state decompositions.
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representative citing papers
A factorization framework and two-qubit description allow photon pairs at lepton colliders to be treated as qubits for measuring Bell inequality violation, quantum discord, and nonstabilizerness using Belle data.
Higgs scattering in SMEFT is analyzed with von Neumann entropy, linear entropy, and concurrence as momentum-isospin entanglement measures, determined by Wilson coefficients of dimension-6 and dimension-8 operators, revealing energy growth, interference cancellations, suppression conditions, and link
Analysis of ~10 billion muon decays from Fermilab g-2 data shows 5.5σ Leggett-Garg inequality violation via reconstructed temporal polarization correlators.
Chi_c0 decays exhibit maximal Bell violation and entanglement, chi_c1 shows angle-modulated violation, and chi_c2 baryon pairs are separable with no violation.
An automated framework in MadGraph5_aMC@NLO computes tree-level production spin-density matrices and quantum observables for generic collider processes, with validation on ttbar and VV and new applications to multi-top final states.
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Concurrence minima in neutrino oscillations identify low-entanglement energy regions that, when aligned with NOνA and T2K data, yield tighter joint constraints on sin²θ₂₃, δ_CP, and Δm²₃₁.
Exact expressions for thermal concurrence, its first and second derivatives, and bounds are derived establishing that thermal quantum Fisher information constrains the response and robustness of entanglement to temperature variations in interacting two-qubit thermal states.
Compactification and spacetime superposition enhance the range and strength of entanglement harvested by accelerated Unruh-DeWitt detectors, with antiparallel acceleration outperforming parallel acceleration.
Entangling power in Heisenberg spin chains shows a monotonic decrease with growing symmetry in small models, sharp dips at SU(2) and free-fermion points in finite chains, and vanishes at SU(2) points but maximizes at the free-fermion point in the thermodynamic limit for the S-matrix.
In unquenched scalar Yukawa theory, parton entanglement entropy encodes quantum information that cannot be reduced to Shannon entropy of parton distributions.
In perturbative relativistic 2→2 scattering the concurrence of the traced-out qubit density matrix depends at leading order on the real part of the inelastic forward amplitude.
Coherent enhancement in detectors is quantitatively constrained by single-mode entanglement entropy, with general bounds on scaling with system size that interpolate between incoherent and fully coherent regimes.
Polarized lepton beams control quantum discord and steering in hyperon-antihyperon pairs from e+e- annihilation, with discord persisting in separable states via transverse polarization.
The authors prove existence of a unitary that maps a two-qubit state to one where a single observable expectation equals the initial concurrence and demonstrate a robust optimal control implementation via numerical simulations.
Simulations of pp to tau+ tau- at the LHC with ML neutrino reconstruction show Bell nonlocality above 5 sigma, proposing tau pairs as a new benchmark system for quantum information studies.
Harmony is a new entanglement measure for two qubits expressed as a simple function of the density operator that detects separability and maximal entanglement and is monogamous for three-qubit states.
Third-order negativity is a necessary and sufficient criterion for full separability of tripartite pure states and extends to mixed states and qudits.
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.
Transverse polarization in e+e- collisions generates maximally entangled fermion pairs in QED processes and boosts entanglement in electroweak and Bhabha scattering.
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Higgs scattering in SMEFT is analyzed with von Neumann entropy, linear entropy, and concurrence as momentum-isospin entanglement measures, determined by Wilson coefficients of dimension-6 and dimension-8 operators, revealing energy growth, interference cancellations, suppression conditions, and link
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Leggett-Garg Inequality Violation in Muon $g-2$ Experiments
Analysis of ~10 billion muon decays from Fermilab g-2 data shows 5.5σ Leggett-Garg inequality violation via reconstructed temporal polarization correlators.
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Bell nonlocality and entanglement in $\chi_{cJ}$ decays into baryon pair
Chi_c0 decays exhibit maximal Bell violation and entanglement, chi_c1 shows angle-modulated violation, and chi_c2 baryon pairs are separable with no violation.
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Automated computation of spin-density matrices and quantum observables for collider physics
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Entanglement response to Temperature in Interacting Two-Qubit Thermal States
Exact expressions for thermal concurrence, its first and second derivatives, and bounds are derived establishing that thermal quantum Fisher information constrains the response and robustness of entanglement to temperature variations in interacting two-qubit thermal states.
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Probing Spacetime Topology and Superposition with Accelerated Detectors
Compactification and spacetime superposition enhance the range and strength of entanglement harvested by accelerated Unruh-DeWitt detectors, with antiparallel acceleration outperforming parallel acceleration.
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Entangling Power: A Probe of Symmetry and Integrability in Quantum Many-Body Systems
Entangling power in Heisenberg spin chains shows a monotonic decrease with growing symmetry in small models, sharp dips at SU(2) and free-fermion points in finite chains, and vanishes at SU(2) points but maximizes at the free-fermion point in the thermodynamic limit for the S-matrix.
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Quantum entanglement between partons in a strongly coupled quantum field theory
In unquenched scalar Yukawa theory, parton entanglement entropy encodes quantum information that cannot be reduced to Shannon entropy of parton distributions.
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Qubit entanglement from forward scattering
In perturbative relativistic 2→2 scattering the concurrence of the traced-out qubit density matrix depends at leading order on the real part of the inelastic forward amplitude.
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Entanglement Requirements for Coherent Enhancement in Detectors
Coherent enhancement in detectors is quantitatively constrained by single-mode entanglement entropy, with general bounds on scaling with system size that interpolate between incoherent and fully coherent regimes.
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Controlling Quantum discord and steering in Electron-Positron Annihilation Using Polarized Beams
Polarized lepton beams control quantum discord and steering in hyperon-antihyperon pairs from e+e- annihilation, with discord persisting in separable states via transverse polarization.
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Existence of a robust optimal control process for efficient measurements in a two-qubit system
The authors prove existence of a unitary that maps a two-qubit state to one where a single observable expectation equals the initial concurrence and demonstrate a robust optimal control implementation via numerical simulations.
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Entanglement and Bell Nonlocality in $\tau^+ \tau^-$ at the LHC using Machine Learning for Neutrino Reconstruction
Simulations of pp to tau+ tau- at the LHC with ML neutrino reconstruction show Bell nonlocality above 5 sigma, proposing tau pairs as a new benchmark system for quantum information studies.
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Harmony for 2-Qubit Entanglement
Harmony is a new entanglement measure for two qubits expressed as a simple function of the density operator that detects separability and maximal entanglement and is monogamous for three-qubit states.
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Separability from Multipartite Measures
Third-order negativity is a necessary and sufficient criterion for full separability of tripartite pure states and extends to mixed states and qudits.
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Experimental prospects for quantum decoherence measurements at colliders
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.
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Spin Correlation and Quantum Entanglement of Fermion Pairs in Transversely Polarized $e^-e^+$ Collisions
Transverse polarization in e+e- collisions generates maximally entangled fermion pairs in QED processes and boosts entanglement in electroweak and Bhabha scattering.
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Spin correlations and quantum entanglement in $\gamma\gamma \to t\bar t$ at polarized photon colliders with NLO QCD corrections
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Revealing the Two-Fold Ambiguity: Tau Momentum Reconstruction and Its Impact on Entanglement Observables
SVD-based numerical method reconstructs the two-fold ambiguous tau momenta in pi nu decays and shows entanglement observables remain extractable despite unresolved solutions.
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Effect of Off-diagonal NSI Parameters on Entanglement Measurements in Neutrino Oscillations
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Entanglement Certification $-$ From Theory to Experiment
Reviews paradigmatic entanglement quantifiers and state-of-the-art detection/certification methods, with emphasis on assumptions about states and measurements.