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Quantum Correlations in Two-Fermion Systems

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abstract

We characterize and classify quantum correlations in two-fermion systems having 2K single-particle states. For pure states we introduce the Slater decomposition and rank (in analogy to Schmidt decomposition and rank), i.e. we decompose the state into a combination of elementary Slater determinants formed by mutually orthogonal single-particle states. Mixed states can be characterized by their Slater number which is the minimal Slater rank required to generate them. For K=2 we give a necessary and sufficient condition for a state to have a Slater number of 1. We introduce a correlation measure for mixed states which can be evaluated analytically for K=2. For higher K, we provide a method of constructing and optimizing Slater number witnesses, i.e. operators that detect Slater number for some states.

fields

hep-ph 1

years

2026 1

verdicts

UNVERDICTED 1

representative citing papers

Quantum Information as a New Lens for Precision Neutrino Physics

hep-ph · 2026-06-30 · unverdicted · novelty 6.0

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.

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  • Quantum Information as a New Lens for Precision Neutrino Physics hep-ph · 2026-06-30 · unverdicted · none · ref 24 · internal anchor

    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.