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.
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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
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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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.
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Energetic radiation induces decoherence that significantly reduces entanglement in fermion pairs at colliders, with statistically significant signals observable in ttbar(g) at the LHC and tau pairs at Belle II.
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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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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Harmony for 2-Qubit Entanglement
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